YTF 20

15 Dec 2020, 09:00 → 16 Dec 2020, 22:05 Europe/London

Teams (Centre for Particle Theory, Durham)

Welcome to YTF 2020! 

YTF exists to bring together postgraduate students working in theoretical physics/applied maths and encourage them to share their research. YTF 20 is a great opportunity to present your work, while also engaging and collaborating with students from different universities. 

We are very pleased to announce that this year's plenary speakers will be:

• Prof. David Tong
• Dr. Jessica Wade

YTF 20 will be held virtually and hosted by Durham University on two days: Tuesday 15th and Wednesday 16th December 2020. 

We want to make sure YTF is as inclusive as possible. Closed captions will be automatically generated for all talks, and additionally we would like to hear about your preferences and/or suggestions to make YTF better than ever!

The Call for Abstracts is now closed and we will be announcing the speaker timetable shortly.

The conference is free to attend. As this is a virtual event, you will need to bring your own biscuits and refreshments!

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Topics expected to be discussed include:

• AdS/CFT
• Amplitudes
• BSM
• Black Holes
• Conformal symmetry
• Cosmology
• Dark matter
• Data science
• Flavour physics
• Gravity
• Lattice
• QCD
• Machine learning
• Neutrinos
• Non-perturbative QFT
• Pheno
• String theory
• Solitons
• SUSY

 

 

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If you tweet, follow us at @Durham_YTF to keep up-to-date with the latest from the team.  If you have any questions, do get in touch at DurhamYTF@gmail.com and someone from the YTF20 team will get back to you.

5 Minute Talk Voting

Presentation feedback form

Tuesday, 15 December

11:30 → 11:45 Welcome: YTF Introductory Talk

Convener: Andrew Blance (IPPP, Durham University)

5minspart1.mp4

5minspart2.mp4

ytfintro.pdf

11:45 → 13:00 5 Minute Talks

Convener: Andrew Blance (IPPP, Durham University)

11:50 The Coaction of Feynman Diagrams

Research developments in recent years have given strong evidence that
one-loop Feynman diagrams admit a coaction, a conjectural statement
regarding the algebraic and analytic structure of the corresponding
Feynman integrals. In this talk, I will explain how one defines a coaction and show how it may apply to Feynman Diagrams.

Speaker: Aris Ioannou (University of Edinburgh)

Aris_Ioannou_Short.pdf

11:55 Vacuum Transitions in Field Theory

The WKB approximation describes the decay of metastable states in quantum mechanics but its extension to multidimensional field theory is not trivial. I will give a short overview of the original Euclidean approach developed by Coleman et al. in the 1980's as well as more recent approaches and comment on the different predictions between the two.

Speaker: Christopher Hughes (DAMTP, University of Cambridge)

YTF20 - Vacuum Transtions in Field Theory.pptx

12:00 Chiral Fermions on the Lattice

Putting chiral fermions on a lattice has been a long standing problem due to the doubling problem. I'll briefly introduce this and talk about potential ways of solving it.

Speaker: Kaan Onder (University of Cambridge)

Chiral Fermions.pptx

12:05 On the Lagrangian formulation of the double copy to cubic order

We investigate the Lagrangian formulation of the double-copy correspondence between gauge theories and gravity, up to the cubic order. Building on the definition of the double-copy field as a convolution of two vectors, we obtain free gravitational Lagrangians as products of two Yang-Mills Lagrangians, in a form amenable to be easily extended to the massive case. We discuss the origin of these results from tensionless strings and show the existence of gauge fixings that mix the two spin-one sectors and lead to an alternative, especially simple, version of the free Lagrangian. We then construct cubic vertices for the full double-copy multiplet, comprising a graviton, a two- form and a scalar particle, by means of the Noether procedure. Both at the free and at the cubic level the result gets uniquely fixed only upon imposing, on top of gauge invariance, a left-right Lorentz symmetry ruling contraction of indices among double-copy fields. Whereas the outcome nicely matches the cubic interactions of N = 0 supergravity, including the gauge-invariant coupling between the scalar particle and the two-form, such a twofold Lorentz symmetry seems to conflict with the perturbative reconstruction of space-time geometry.

Speaker: Pietro Ferrero (University of Oxford)

PietroFerrero_LagrangianDC.pdf

12:10 Enhancing the diagnostic performance of Raman spectroscopy based bowel cancer blood test using advanced machine learning algorithms and the incorporation of information from the patient's medical record

Diagnosing cancer may be performed from biofluids, utilizing Raman spectrophotometry, multiple machine learning techniques and their applications in particle detectors. Nonetheless, algorithms which would allow for accurate classification model in this scenario would require incorporating the information from patient's medical record. Them main challenge of this project is to design an algorithm which considers both, medical data and pre-processing budget in a medical research. Several particle detector technologies, including a Silicon Vertex Detector, Time Projection Chamber, and a barrel of scintillating bars are challenging when it comes is to distinguishing between antihydrogen annihilation and cosmic rays. Presently, a common technique to resolve this is a use of cuts based on two high-level variables from the detectors for online analysis, and boosted decision trees with high-level variables in offline analysis. High-level variables are a powerful tool for discrimination, nonetheless slow to pre-process. This project aims to build both online and offline analyses that have different processing budgets and reduce pre-processing time by replacing the high-level variables with lower level variables. The goal is to create a small enough model that can interpret raw detector output to enable a real-time online analysis, with the ultimate objective of programming an FPGA or micro-controller to perform accurate, real-time classification of detector events.

Speaker: Natalia Sikora (Swansea University)

YTF20_Presentation_NataliaSikora.pptx

12:15 Higher form symmetries and geometric engineering

I will briefly introduce my research work on higher form symmetries and it's connection to geometrically engineered field theories.

Speaker: Saghar Sophie Hosseini (Durham University)

12:20 Towards Precision QCD Calculations

This talk is an overview of infrared divergences required in precision QCD calculations. The cancellation of these divergences is necessary by KLN theorem and must be verified when predicting observables. Improvements on methods in this type of work is necessary to extend predictions to $\text{N}^3\text{LO}$ in $\alpha_\text{s}$, to make comparisons with future precise collider experiments. Antenna subtraction is discussed, in addition to new analysis identifying structure in antenna functions.

Speaker: Oscar Braun-White (IPPP, Durham University)

OBW Talk Recording

12:25 Sp(2N) gauge theories on the lattice.

Yang-Mills theories based on the Symplectic groups (denoted by $Sp(2N)$) have the potential to describe a composite Higgs particle. To gain a better understanding of such theories, it is important to understand the dynamics of the pure Yang-Mills sector as well as in the presence of fermions. A detailed study of the glueball spectrum has been carried out for $N=1,2,3$ and 4 along with an extrapolation to the large-$N$ limit. We begin a study of the meson spectrum as a logical continuation to these studies with a view to applying the results to composite Higgs models.

Speaker: Jack Holligan (Swansea University)

YTF_2020_Holligan.pdf

12:30 Dessins d'Enfants and Machine-Learning

Dessins d'enfants will be introduced, discussing their link to Calabi-Yau manifolds in string theory and their importance in Galois theory. Following this we will briefly discuss work performed to classify a database of dessins d'enfants according to their Galois orbit size using machine-learning.

In relation to the paper: 2004.05218

Speaker: Ed Hirst (City, University of London)

EdHirst_YTF20.pdf

12:35 Scheme dependence in pQCD at the four loop level

Quantities representing measurables in physics should not depend on the method of calculating them in the underlying QFT. However, in perturbative QCD, computations must be truncated to a finite order meaning they are only approximations of the true quantity resulting in dependence on the renormalization scheme chosen. We investigate this dependence for the Bjorken sum rule and Adler D functions in various kinematic schemes with particular focus on the symmetric MOM schemes at four loops and compare with MSbar scheme behaviour as the benchmark.

Speaker: Robert Mason (University of Liverpool)

13:00 → 14:00 Break Out Rooms: Lunch Time

Wonder.me

14:00 → 15:00 Parallel Stream 1: Dark Matter

Convener: Elliott Reid (IPPP Durham)

14:00 Machine Learning Surrogates for Rapid Dark Matter Direct Detection Calculations

Dark matter direct detection is one of the most popular ways of searching for WIMP dark matter. However, the calculations involved when evaluating the recoil spectra can be expensive, especially when exploring the multi-dimensional parameter space resulting from the EFT description of dark matter and the inclusion of astrophysical uncertainties. Therefore, it is instructive to seek ways of accelerating this calculation. We explore the performance of several possible surrogate models which can replace the exact calculation, with a focus on machine learning models. We find that relatively simple surrogate models can adequately approximate the complete calculation with a sizeable jump in performance.

Speaker: Dorian Amaral (IPPP, Durham University)

dwpa_ytf20.pdf

Meeting now.mp4

14:00 → 15:00 Parallel Stream 2: CMP

Convener: Oscar Braun-White (IPPP, Durham University)

14:00 Synthetic Flux Attachment

Flux attachment is a mechanism by which charged particles capture magnetic flux quanta and form composite entities. As a consequence of flux dressing, these composites may acquire fractional quantum numbers (e.g. electric charge) and statistics. This phenomenon is directly associated to the emergence of a Chern-Simons gauge field.

Although charge-neutral systems do not couple to vector potentials, geometric (Berry) phases induced in ultracold neutral atoms allow emulating the behaviour of charged particles in electromagnetic fields. Nowadays, these phases can be engineered in Bose-Einstein condensates by means of laser coupling.

We describe how a suitable interaction of this light-matter system generates an effective singular nonlinear gauge potential. Such a field is a function of matter density and performs a laser-tuned version of flux attachment. We derive bottom-up the macroscopics (i.e. emergence) of an Abelian Chern-Simons theory from a microscopic, weakly-interacting system of bosons. We find that the effective description of the condensate is that of a fractional quantum Hall fluid where anyonic flux-charge vortices are formed. Finally, we outline the implementation of the current scheme and its implications as a quantum simulation of a gauge theory in 2+1D that uses a single atomic species only.

Speaker: Gerard Valentí-Rojas (Heriot-Watt University)

YTF_workshop_Dec2020_compress.pdf

14:30 Multi-winding Magnetic Fluxtubes in Colour-superconducting Quark Matter

I will present results analysing the phase structure of dense, three-flavour, colour-superconducting quark matter in the presence of an external magnetic field using a Ginzburg-Landau approach. By contrasting with the massless case, I will discuss how the preferred magnetic defects in the type-II 2SC phase and overall phase diagram are affected when we consider the strange quark mass to be non-zero.

Speaker: Geraint Evans (University of Southampton)

GWEvans_YTF20_15_16Dec2020.pdf

14:00 → 15:00 Parallel Stream 3: Quiver

Convener: Richie Dadhley

14:00 An Introduction to moduli spaces of 3d N=4 SUSY quiver gauge theories

This talk is aimed at those who may be unfamiliar with many concepts that appear in the title. To this end, the topic will be broken down thoroughly, and along the way some basic concepts will be reviewed. It hopes to give an understandable and simple introduction into the rich field of supersymmetric quiver gauge theories. The ideas of gauge theories and group theory will be briefly reviewed, before discussing N=4 supersymmetry in 3 dimensions and the structure of the moduli space of vacua of theories with such symmetry. The quiver formulation of such theories is presented, showing how to encode all the important information in a simple diagram. Motivations and directions of study are discussed. If time permits, a link to string theory will be established through the realisation of gauge theories on the world volume of Dirichlet branes.

Speaker: Kirsty Gledhill (Imperial College London)

YTF2020 modified.pptx

YTF Day 1 parallel stream 3 Kirsty Gledhill.mp4

14:30 Factorised 3d N=4 orthosymplectic quivers

I will discuss families of 3d N=4 quiver gauge theories with unitary, orthogonal and symplectic gauge nodes that factorise into pairs of decoupled sectors. Each decoupled sector corresponds to a quiver gauge theory comprised solely of unitary nodes. I will then discuss the motivation behind this conjecture as well as the currently available evidence/tests.

Speaker: Mohammad Akhond (Swansea University)

YTF20-merged.pdf

YTF Day 1 parallel stream 3 Mohammad Akhond.mp4

15:00 → 15:30 Break Out Rooms

Wonder.me

15:30 → 16:30 Parallel Stream 1: QCD

Convener: Jack Shergold (IPPP, Durham University)

15:30 QCD Instantons at hadron colliders

Instantons are non-perturbative phenomena arising in field theory with degenerate vacua. They are one of the few remaining predictions of the Standard Model that has not been experimentally observed. Discovering instantons at a collider would be another piece of evidence for our current model of QCD and help to understand the vacuum structure of the standard model.

We will discuss the most recent calculation of the instanton cross section at hadron colliders before moving on to discuss their collider signature. We talk about shape variables as possible discriminating variables and how we might potentially discover instantons at the LHC.

[talk based on https://arxiv.org/abs/2010.02287]

Speaker: Daniel Milne (IPPP, Durham University)

Meeting in _General_ -00.00.00.000-00.27.26.066.mp4

QCDInstantons.pdf

16:00 Soft Anomalous Dimension in QCD

An introduction to the Soft Anomalous Dimension in QCD with a focus on the diagrammatic color structures that appear in it. The factorisation of scattering amplitudes into hard, soft and jet parts allows us to focus on the soft matrix. The Soft Anomalous Dimension contains the IR singularities and can be represented in terms of Wilson lines which will be discussed.

Speaker: Niamh Maher (University of Edinburgh)

Meeting in _General_ -00.27.26.074-00.56.51.903.mp4

pres_YTF_tex.pdf

15:30 → 16:30 Parallel Stream 2: Cosmo

Convener: Seamus Fallows

15:30 Protected states in AdS3xS3xT4 from integrability

I will briefly review the integrability setup that works in AdS3/CFT2, in the planar limit, including its brane construction in type IIB string theory. Next, I will review algebraic Bethe ansatz(ABA) and how it is used to compute spectrum of integrable models by working with the concrete example of Heisenberg XXX spin chain. Finally, I will use the ABA technology for the massless modes in AdS3xS3xT4, and use it to compute the protected spectrum of states in this background.

Speaker: Suvajit Majumder (City, University of London)

Meeting in _General_ .mp4

YTF20.pdf

16:00 Analytical Approximations for Curved Primordial Power Spectra

Whilst interpretations of the level of experimental support for a curved present-day universe differ, universe models with percent-level spatial curvature remain compatible with CMB datasets. The inflationary framework successfully predicts the minimal present-day curvature. However, if one is to study inflation in a complete manner, one cannot assume a flat universe at the start of the expansion. There are also other theoretical reasons to consider the effect of curvature; particularly for the studies of inflation exits and quantum gravity.

This motivates us to study the effects of primordial curvature. In this work, we generalize the potential-independent inflationary model, popularized by Contaldi et al., to the curved case. We demonstrate that the Contaldi approximation still holds for the case of curved universes, and allows us to clearly illustrate the generic cut-off and oscillatory effects seen in numerically computed curved primordial power spectra. Through our analytical solutions, we are able to gain a better insight into the physics of curved inflating universes. We also discuss the possibility of developing our framework to include potential dependence.

https://arxiv.org/abs/2009.05573

Speaker: Ayngaran Thavanesan (University of Cambridge)

Meeting now (1).mp4

YTF20Talk.pdf

15:30 → 16:30 Parallel Stream 3: Branes

Convener: Saghar Sophie Hosseini (Durham University)

15:30 Towards an M5-Brane Model

Higher gauge theory is an extension of gauge theory in which one adds higher degree forms to generalize the concept of connection. This nascent field has been plagued by a lack of concrete non-trivial examples relevant to physics. In this talk we review the recent progress in constructing a model for a (1,0) superconformal field theory in 6 dimensions containing a non-abelian tensor multiplet using Sen’s Lagrange multiplier approach and an object from higher gauge theory known as a string structure.

Speaker: Dominik Rist (Heriot-Watt University)

ytf20.pdf

16:00 M2- and D3-branes wrapped on a spindle

We consider the Plebanski-Demianski family of solutions of minimal gauged supergravity in d=4, which describes an accelerating, rotating and charged black-hole in AdS4. The 4d metric has conical singularities, but we show that it can uplifted to a completely regular solution of d=11 supergravity. We focus on the supersymmetric and extremal case, where the near-horizon geometry is AdS2 x \Sigma, where \Sigma is a spindle, or weighted projective space. We argue that this is dual to a d=1, N=(2,0) SCFT which is the IR limit of a 3d SCFT compactified on a spindle. This, in turn, should be realized holographically by wrapping a stack of M2-branes on a spindle. Such construction displays two interesting features: 1) supersymmetry is realized in a novel way, which is not the topological twist, and 2) the R-symmetry of the d=1 SCFT mixes with the U(1) isometry of the spindle. A similar idea also applies to a class of AdS3 x \Sigma solutions of minimal gauged supergravity in five dimensions.

Speaker: Pietro Ferrero (University of Oxford)

PietroFerrero_Spindle.pdf

16:30 → 17:00 Break Out Rooms

Wonder.me

17:00 → 18:00 Plenary Speaker: Dr. Jessica Wade

Dr. Jess Wade is a research fellow at Imperial College studying chiral organic light emitting diodes. Dr. Wade has made huge contributions to campaigns for increased diversity, equality and inclusion within STEM, and in 2019 was awarded a British Empire Medal for her work. She will talk to us about the issues within Physics (and STEM in general) and the work she is doing to change this.

Resources on race/racism:
https://www.particlesforjustice.org/resources (or search for "particles for justice")
Anglea Saini's books:
Inferior: How Science Got Women Wrong
& Superior: The Return of Race Science

Convener: Lucy Budge (IPPP, Durham University)

JessWadeYTF20.mp4

19:00 → 20:00 Quiz

JOIN THE QUIZ HERE :)

Wednesday, 16 December

09:50 → 10:00 Welcome: Day Two Intro

Convener: Richie Dadhley

5minspart1.mp4

5minspart2.mp4

ytfintro.pdf

10:00 → 11:30 Parallel Stream 1: Jets

Convener: Oscar Braun-White (IPPP, Durham University)

10:00 Towards a Quantum Computing Algorithm for Helicity Amplitudes and Parton Showers

The interpretation of measurements of high-energy particle collisions relies heavily on the performance of full event generators. By far the largest amount of time to predict the kinematics of multi-particle final states is dedicated to the calculation of the hard process and the subsequent parton shower step. With the continuous improvement of quantum devices, dedicated algorithms are needed to exploit the potential quantum computers can provide. In this talk I will discuss general and extendable algorithms for quantum gate computers to facilitate calculations of helicity amplitudes and the parton shower process, as a first step towards a quantum computing algorithm to describe the full collision event at the LHC. This method exploits the equivalence between spinors and qubits and harnesses the quantum computer’s ability to remain in a quantum state throughout the calculations.

Speaker: Khadeejah Bepari (IPPP, Durham University)

YTF Khadeejah.pptx

10:30 The performance and IRC safety of Spectral Clustering when Jet tagging.

Spectral clustering, developed by the machine learning community, has been seen to be a powerful and versatile clustering method. Jet clustering, particularly in the case of a boosted topology, is a key problem for particle identification in experimental physics. If spectral clustering can be shown to be suitable for the task it may be able to extract more information from the data we generate.

A key factor for the suitability of an clustering algorithm is infrared and collinear (IRC) safety. While there are algorithms that are not IRC safe, the most popular algorithms are. To be viable for use in QCD calculations the jet formation algorithm must be IRC safe.

In this talk I will discuss the mechanics, performance and the IRC safety of spectral clustering.

Speaker: Henry Day-Hall (University of Southampton)

spectralClusteringForJetFormationv2.webm

11:00 An analytical look at top tagging with N-subjettiness

I will examine the effectiveness and resilience to non perturbative effects of various top tagging procedures which make use of n-subjettiness, initially using Monte Carlo simulations. I will then present resummed calculations, at modified leading log accuracy, of the most effective variants of these taggers for both the signal and background. These calculations will then be used to understand the physics which drives these taggers, ultimately facilitating the simplification of them whilst improving the performance over a range of signal efficiencies.

Speaker: Mr Jack Helliwell (University of Manchester)

Top_Tagging.pdf

10:00 → 11:30 Parallel Stream 2: Amplitudes

Convener: Connor Armstrong (Durham University)

10:00 Curvy Parke-Taylors

I will report on our discovery of the first-ever all-multiplicity formulae for scattering amplitudes in curved backgrounds. This will involve certain chiral backgrounds treated without any approximations, a slice of twistor theory, a taste of spinor-helicity variables, and a bit of holography for dessert. The end result is a beautiful extension of the Parke-Taylor formula of MHV gluon amplitudes from trivial backgrounds to an infinite class of self-dual radiative gauge field backgrounds.

Speaker: Atul Sharma (University of Oxford)

AtulSharma_YTF20.mp4

Curvy_Parke_Taylors_YTF.pdf

10:30 Amplitudes and Backgrounds in Split Signature

In this talk we are going to explore classical features of electromagnetic and gravitational radiation using quantum scattering amplitudes. To do so we analytically continue to a spacetime with $(2,2)$ signature $\eta_{\mu\nu}=\text{diag}(+,+,-,-)$. This allows us to consider, at leading order, 3-point on-shell amplitudes which would otherwise be identically zero in usual Minkowski spacetime. Our main result is that, in the classical limit, the scattered state is a coherent state which is the exponential of a 3-point amplitude. This occurs for both EM and GR radiation, which happen to be related to each other through the double copy. This opens up new possibilities to study gravitational wave physics with quantum field theory and unitarity methods.

Speaker: Mr Matteo Sergola (University of Edinburgh)

MatteoSergola_YTF20.mp4

YTF_MatteoSergola.pdf

11:00 Classical Yang Mills observables from amplitudes

In this talk I’ll present some recent work on studying classical observables in Yang Mills theory. Motivated by the double copy relation between YM and Gravity, and focusing on the YM side, I’ll discuss the classical scattering of particles with a YM colour charge and compute the change in colour or ‘colour impulse’ that occurs during the scattering event using amplitudes techniques.

Speaker: Alasdair Ross (University of Edinburgh)

AlasdairRoss_YTF20 .mp4

YTF20_ARoss.pdf

10:00 → 11:30 Parallel Stream 3: Black Holes

Convener: Richie Dadhley

10:00 Moduli space of five-dimensional black holes

The classification of equilibrium black hole solutions is a fundamental problem in General Relativity. In four spacetime dimensions this is essentially answered by the black hole uniqueness theorem, which roughly states that the only asymptotically flat, stationary black hole solution to the vacuum Einstein equations is the Kerr solution. In higher-dimensional spacetimes, there is no such simple uniqueness theorem - this was revealed by the striking discovery of the black ring, a black hole with horizon topology $S^2 \times S^1$. Alongside the spherical topology Myers-Perry black hole (the natural higher dimensional Kerr analogue), this explicitly shows that even vacuum black holes are not uniquely specified by their mass and angular momenta.

So what is known about black holes in five-dimensional GR? In this talk I will give an overview of the situation and briefly discuss a new classification result leading towards a better understanding of a particular class of these solutions.

Speaker: Fred Tomlinson (University of Edinburgh)

YTF 5d black holes.pdf

10:30 The Case Against Smooth Null Infinity

In this talk, I hope to discuss various physical obstructions to Penrose's proposal of smooth conformal compactification of spacetime (a.k.a. smooth null infinity or asymptotic simplicity) and the "peeling property" implied by it.
More precisely, I will show that in the context of the $N$-body problem of GR, one should expect that the asymptotic expansions of the Weyl tensor near $\mathcal{I}^+$ contain logarithmic terms at leading order and hence the peeling property does not hold.
Finally, I will outline why these logarithmic terms should in principle be measurable.

Only basic familiarity with GR will be assumed.

Speaker: Leonhard Kehrberger (University of Cambridge)

talkDurham.pdf

YTF Day 2 Parallel Stream 3 Leonhard Kehrberger.mp4

11:00 Complex structures in the dynamics of Kerr black holes

The Kerr black hole in gravity, and its single copy $\sqrt{\rm Kerr}$ in gauge theory, are very special spinning objects. Both are intimately connected to on-shell scattering amplitudes for particles with spin. In this talk I will show how insights from such amplitudes can lead to new, complex perspectives on the classical dynamics of these solutions.

Speaker: Ben Maybee (University of Edinburgh)

Complex structures in the dynamics of Kerr black holes.pdf

YTF Day 2 Parallel Stream 3 Ben Maybee.mp4

11:30 → 12:00 Break Out Rooms

Wonder.me

12:00 → 13:00 Parallel Stream 1: QCD

Convener: Lucy Budge (IPPP, Durham University)

12:00 Getting a number out of a QCD amplitude

I will give an introductory review of modern methods to compute QCD amplitudes in the context of hadron collider phenomenology. We will build up the basic structure of such calculations and explore the technologies used at each step.

Speaker: Ryan Moodie (IPPP, Durham University)

Getting a number out of a QCD amplitude

RyanMoodieYTF20.mp4

ryan-ytf20.pdf

12:30 Finite Fields for Di-Photon Amplitudes

In this talk I will present the algorithms and techniques employed to efficiently obtain analytic expressions for loop-induced di-photon amplitudes at 5 and 6 legs . I will review the method of reconstruction over finite fields and how it is applied to OPP integrand reduction at one loop. The representation of the amplitudes using Momentum Twistor variables, which ensure that the process only involves rational expressions at every intermediate step, will be introduced. I will discuss advantages and current bottlenecks.

Speaker: Francesco Sarandrea (Durham University)

Finite Fields for Di-Photon Amplitudes .pdf

FrancescoSarandreaYTF20.mp4

12:00 → 13:00 Parallel Stream 2: String/ AdS

Convener: Saghar Sophie Hosseini (Durham University)

12:00 Non-SUSY String Phenomenology from Z$_2\times$Z$_2$ Heterotic Orbifolds

We explore the space of non-SUSY string models via two distinct routes: the tachyon-free O(16)$\times$O(16) heterotic string in 10D and a tachyonic 10D heterotic string. We classify 4D Z$_2\times$Z$_2$ orbifolds descending from these two starting points in the free fermionic construction. Having found a potentially stable Standard-like model descending from the tachyonic 10D vacuum in arXiv:1912.00061, the approach of taking these models on equal footing with the non-tachyonic 10D models is justified provided that the tachyonic states are projected out in the four dimensional models. In both classes of models we find examples of Type 0 and Type 0bar models, i.e. models free of fermionic massless states and models free of twisted massless bosons, respectively. Moving beyond these extreme configurations we seek to classify tachyon-free vacua according to standard phenomenological criteria in both classes of model, where an SO(10) GUT is broken to the Pati-Salam subgroup. An analysis of the cosmological constant and misaligned supersymmetry in the two classes of models finds notable vacua in both cases in which N$_b$=N$_f$ at the massless level.

Speaker: Benjamin Percival (Liverpool University)

Ben's talk.mp4

StringPhenoSeminarTalk (3).pdf

12:30 Never have I ever used a constant to fix my problem

Was it calling it a blunder the actual blunder? The cosmological constant has always been controversial, to say the least. The past 20 years have seen an uprising of the cosmological constant, after the discovery in 1998 that the expansion of the universe is actually accelerating. This forced String Theory to try to accommodate de Sitter backgrounds into its 4d solutions, something that has proved difficult to accomplish. However, just as Inflation seems to be best dealt with using slowly rolling scalar fields rather than a de Sitter vacuum, so may the current expansion be driven by such fields, in what is known as Quintessence. In this talk I will address the problem with the cosmological constant, explain how Quintessence can provide an alternative, notwithstanding its own difficulties, and how this can be accomplished in String Theory.

Speaker: Bruno Bento (University of Liverpool)

Brune's talk.mp4

YTF20.pdf

12:00 → 13:00 Parallel Stream 3: Feynman Integrals/Black Holes

Convener: Gabriel Arenas-Henriquez (Durham University)

12:00 Determining the Coaction of two-loop Feynman Diagrams

The diagrammatic coaction is a conjectural statement regarding the algebraic and analytic structure of Feynman integrals. The beauty of the coaction on Feynman diagrams is that its form can be formulated through simple diagrammatic rules, based on "cutting" and "contracting" subsets of propagators, without any reference to the particular functions that the integrals evaluate to. However, in order to establish the coaction, and determine its precise structure given a particular basis of integrals, one needs to evaluate the corresponding integrals and their cuts and establish the relations between them. In this talk, I will go into the techniques used for the two-loop cut integral evaluations to all orders in the dimensional regularization parameter $\epsilon$ and how the results can be used to determine the diagrammatic coaction of two-loop Feynman Integrals.

Speaker: Aris Ioannou (University of Edinburgh)

Aris-Ioannou.mp4

12:30 Black hole entropy from superconformal indices and a glimpse of black holes in AdS_5 x T^{1,1}

The large N limit of the four-dimensional superconformal index has been computed and successfully compared to the entropy of a class of AdS$_5$ black holes only in the particular case of equal angular momenta. Using the Bethe ansatz formulation of the index, we found a particular universal contribution to the sum over Bethe vacua that correctly leads to the entropy of BPS Kerr–Newman black holes in AdS$_5\times$S$^5$ for arbitrary values of the conserved charges, thus completing the microscopic derivation of their microstates. We also consider theories dual to AdS$_5\times$SE$_5$, where SE$_5$ is a Sasaki–Einstein manifold. In particular, we explicitly constructed the near-horizon geometry of as yet unkown BPS Kerr–Newman black holes in AdS$_5\times$T$^{1,1}$. The entropies of these black holes were computed using the attractor mechanism and we found complete agreement with predictions from the index.

Speaker: Ziruo Zhang (SISSA)

ytf_slides.pdf

Ziruo-Zhang.mp4

13:00 → 14:00 Break Out Rooms: Lunch

Wonder.me

14:00 → 15:00 Parallel Stream 1: Lattice

Convener: Jack Shergold (IPPP, Durham University)

14:00 Precise Determination of CKM Matrix Elements with Lattice QCD+QED

The Cabibbo-Kobayashi-Maskawa (CKM) matrix is a $3\times 3$ unitary matrix in the Standard Model of particle physics. In the age of precision physics, one of the ongoing efforts to extend the Standard Model is to test the unitarity of the CKM matrix. This requires a precise determination of its matrix elements from first principles. Since quarks hadronise into bound states at $E\approx \Lambda_{QCD}\sim 300$MeV, we will require a non-perturbative approach to obtain theoretical predictions of hadronic observables. This is where Lattice QCD(+QED) comes in. In this talk, I will present the progress made by the RBC-UKQCD collaboration in determining $\frac{V_{us}}{V_{ud}}$ and discuss our future plans on extracting the individual matrix elements.

Speaker: Andrew Yong (University of Edinburgh)

aznyong-ytf2020.pdf

Meeting now(2).mp4

14:30 Heavy $\to$ strange Semileptonic Decays in Lattice QCD

$D \to{}K l \nu$ and $B \to K l^+l^-$ are important heavy to strange semileptonic decay processes, giving us direct comparison with experiment, and access to CKM matrix elements and potential new physics.
We can calculate form factors for both of these processes in lattice QCD and connect them together by determining heavy to strange form factors for heavy quark masses ranging from $c$ to $b$. We can also explore the connection to form factors with different light quark masses.
Using the HISQ action on $N_f=2+1+1$, we demonstrate how $D\to{}K$ calculations can be extended up towards the $b$ mass and give preliminary $D \to{} K$ and $B \to {}K$ results, in both cases including results for the tensor form factor with an accurately renormalised tensor current.

Speaker: William Parrott (University of Glasgow)

Meeting now(1).mp4

WillParrottYTF2020.pdf

14:00 → 15:00 Parallel Stream 2: QFT

Convener: Gabriel Arenas-Henriquez (Durham University)

14:00 Avoided Deconfinement in Randall-Sundrum Models

In this talk I will discuss first order phase transitions in Randall-Sundrum models which are dual to (de)confinement phase transitions in large-$N$ gauge theories. The transition rate is suppressed by a factor $\exp(-N^2)$, and does not complete for $N \gg 1$, leading to an eternally inflating phase. The constraint on $N$ to avoid this fate is strong enough that the RS effective field theory is only marginally under control. We present a mechanism where the IR brane remains stabilised at very high temperature, so that the theory stays in the confined phase at arbitrarily high energies. This mechanism of avoided deconfinement is similar to Weinberg's symmetry non-restoration mechanism. Avoided deconfinement allows for a viable cosmology for parametrically large-$N$ theories. Early universe phenomena such as WIMP freeze-out, axion abundance, baryogenesis and phase transitions are qualitatively modified in the model, leading to new possibilities for phenomenological applications.

Speaker: Michael Nee (Oxford University)

Avoided Deconfinement - Durham YTF20.pdf

Michael-Nee.mp4

14:30 Boundaries, Vermas, and Factorisation

I will discuss a recent work on the factorisation of closed 3-manifold partition functions and indices of 3d $\mathcal{N}=4$ gauge theories. The building blocks are hemisphere partition functions equipped with a class of UV $\mathcal{N}=(2,2)$ boundary conditions that mimic the presence of isolated vacua at infinity. Via the state-operator correspondence, these count local operators supported on a $(2,2)$ boundary condition on a plane. A subset of these operators are boundary Higgs and Coulomb branch operators, which form lowest weight Verma modules over the quantised bulk Higgs and Coulomb branch chiral rings. We show that certain limits of the hemisphere partition functions compute their characters. We find that the equivariant supersymmetric Casimir energy encodes the boundary ’t Hooft anomaly, and also plays the role of highest weights. Applying these results to factorisation then leads to various “IR formulae” for partition functions on closed 3-manifolds in terms of these Verma characters.

Speaker: Daniel Zhang (University of Cambridge)

Daniel Zhang YTF Talk.pdf

Dan-Zhang.mp4

14:00 → 15:00 Parallel Stream 3: Bootstraps

Convener: Connor Armstrong (Durham University)

14:00 From tree-level perturbation theory to S-matrix bootstrap in two dimensions

In the past the bootstrap program has been able to find analytical results for the S-matrix of a variety of (1+1)-dimensional integrable models. Its connection to standard Feynman diagrams computations is however still unclear, in particular the underlying mechanism responsible for the cancellation of all non-elastic processes. In the talk I will show how bootstrap relations connecting different S-matrix elements and the absence of non-elastic scattering emerge at tree-level from perturbation theory for the class of untwisted affine Toda theories.

Speaker: Davide Polvara (Durham University)

DavidePolvara_YTF .mp4

YTF_2020_D_Polvara.pdf

14:30 The Boostless Bootstrap: Amplitudes without Lorentz boosts

Poincare invariance is a well-tested symmetry of nature and sits at the core of our description of relativistic particles and gravity. However, in cosmology the ground state breaks invariance under Lorentz boosts, which motivated us to study scattering amplitudes without requiring this symmetry. In particular, using on-shell methods and assuming massless, relativistic and luminal particles of any spin, I explain how the allowed interactions around Minkowski spacetime are severely constrained by unitarity and locality in the form of consistent factorization. In particular, the existence of an interacting massless spin-2 particle enforces three-particle interactions to be Lorentz invariant, even those that do not involve a graviton, such as cubic scalar couplings. Our findings are highly sensitive to IR deformations and therefore these flat-space results do not straightforwardly apply to curved spacetime. Instead, I comment on the implications to Lorentz violating extensions of the Standard Model.

Speaker: Jakub Supeł (University of Cambridge)

Boostless bootstrap December 2020 v3.pdf

JakubSupel_YTF20.mp4

15:00 → 15:30 Break Out Rooms

Wonder.me

15:30 → 16:30 Parallel Stream 1: Cosmo

Convener: Jack Shergold (IPPP, Durham University)

15:30 Cosmological implications of EW vacuum instability: constraints on the Higgs curvature coupling from inflation

The current experimentally measured parameters of the Standard Model (SM) suggest that our universe lies in a metastable electroweak vacuum, where the Higgs field could decay to a lower vacuum state with catastrophic consequences. Our measurements dictate that such an event has not happened yet, despite the many different mechanisms that could have triggered it during our past light-cone. Via this observation, we can establish a promising link between cosmology and particle physics and thus constrain important parameters of our theories. The focus of our work has been to explore this possibility by calculating the probability of the false vacuum to decay during the period of inflation and using it to constrain the last unknown renormalisable SM parameter $\xi$, which couples the Higgs field with space-time curvature. In our latest study, we derived lower bounds for the Higgs-curvature coupling from vacuum stability in three inflationary models: quadratic and quartic chaotic inflation, and Starobinsky-like power-law inflation. In contrast to most previous studies we took the time-dependence of the Hubble rate into account both in the geometry of our past light-cone and in the Higgs effective potential, which is approximated with three-loop renormalisation group improvement supplemented with one-loop curvature corrections. We find that in all three models, the lower bound is $\xi \geq 0.051 ... 0.066$ depending on the top quark mass. We also demonstrated that vacuum decay is most likely to happen a few e-foldings before the end of inflation.

Speaker: Mr Andreas Mantziris (Imperial College London)

YTF_2020_Mantziris.pdf

16:00 Charting the Fifth Force Landscape

In recent years particle physics research has undergone somewhat of a phase transition, looking increasingly towards hidden sectors and the feebly interacting frontier. In this talk I will introduce a new approach to parameterising dark sector forces, underpinned by the Källén-Lehman representation, in which the effects of any general scalar fifth force are captured by a single positive-definite spectral function. Using this language, I will demonstrate how the effects of loop-level forces can be simply obtained, without needing to explicitly perform loop calculations. I will also show how experimental observables can be expressed in completely general terms, facilitating the straightforward extraction of limits to any specific model. Finally, I will discuss how this framework opens the possibility to speculatively probe violations of unitarity, causality or locality within hidden sectors.

Speaker: Hannah Banks (University of Cambridge)

Charting the Fifth Force Landscape ytf.pdf

Meeting now.mp4

15:30 → 16:30 Parallel Stream 2: QFT

Convener: Richie Dadhley

15:30 Double copy and homotopy algebras

There is a series of deep relations between the scattering amplitudes of Yang–Mills theory and those of Einstein gravity, known as double copy. This relation has been proven at tree level, but whether it holds at loop level has been a longstanding conjecture. In this talk we resolve this by constructing Lagrangians for Yang–Mills theory and Einstein gravity that manifest the double copy relation and formulate the result in terms of the theory of homotopy algebras (L_∞-, A_∞-algebras).

Based on 2007.13803, joint work with L. Borsten, B. Jurčo, T. Macrelli, C. Sämann, M. Wolf.

Speaker: Hyungrok Kim (Heriot-Watt University)

durham-talk.pdf

YTF Day 2 Parallel Stream 2 Hyungrok Kim.mp4

16:00 Covariant multipole expansion of local currents for massive states of any spin

We study the structure of scalar, vector, and tensor currents for on-shell massive particles of any spin. When considering higher values for the spin of the particle, the number of form factors (FFs) involved in the decomposition of the matrix elements associated with these local currents increases. We identify all the fundamental structures that give rise to the independent FFs, systematically for any spin value. These structures can be conveniently organised using an expansion in covariant multipoles, built solely from the Lorentz generators. This approach allows one to uniquely identify the terms which are universal and those that arise because of spin. We derive counting rules which relate the number of FFs to the total spin j of the state, showing explicitly that these rules match all the well-known cases up to spin 2.

Speaker: Manuel Morales (DAMTP, University of Cambridge)

YTF_2020_Morales.key

YTF_2020_Morales.pdf

YTF Day 2 Parallel Stream 2 Manuel Morales.mp4

15:30 → 16:30 Parallel Stream 3: Strings

Convener: Saghar Sophie Hosseini (Durham University)

15:30 The Holographic Swampland

We investigate whether Swampland constraints on the low-energy dynamics of weakly coupled string vacua in AdS can be related to inconsistencies of their putative holographic duals or, more generally, recast in terms of CFT data. In the first part of the talk, we shall illustrate how various swampland consistency constraints are equivalent to a negativity condition on the sign of certain mixed anomalous dimensions. This condition is similar to well-established CFT positivity bounds arising from causality and unitarity, but not known to hold in general. Our analysis will include LVS, KKLT, perturbative and racetrack stabilisation, and we shall also point out an intriguing connection to the Distance Conjecture. In the second part, we show how a different, recently derived inequality on mixed anomalous dimensions maps to novel constraints on four-derivative interactions on AdS. As an application, we use this to constrain the interactions of scalars with a non standard kinetic term, finding in particular that the DBI action for multiple scalar fields is at the boundary of the allowed region.

Speaker: Filippo Revello (University of Oxford)

Filippo's talk.mp4

Revello_YTF.key

Revello_YTF.pdf

16:00 Color/ Kinematics Duality in AdS$_4$

In flat space, the color/kinematics duality states that perturbative Yang-Mills amplitudes can be written in such a way that kinematic numerators obey the same Jacobi relations as their color factors. This property leads to the BCJ relations between Yang-Mills amplitudes and underlies the double copy to gravitational amplitudes.
In this talk, I will explore how this extends to AdS$_4$, where a generalised gauge symmetry can be used to enforce the Jacobi relations away from the flat space limit; this lets us derive deformed BCJ relations. I will also review the spinor helicity in a curved background, leading to compact new expressions for 4pt Yang-Mills amplitudes in AdS$_4$.

Speaker: Connor Armstrong (Durham University)

Connor's talk.mp4

YTF_ColourKin.pdf

16:30 → 17:00 Break Out Rooms

Wonder.me

17:00 → 18:00 Plenary Speaker: Prof. David Tong

Dr. Jess Wade is a research fellow at Imperial College studying chiral organic light emitting diodes. Dr. Wade has made huge contributions to campaigns for increased diversity, equality and inclusion within STEM, and in 2019 was awarded a British Empire Medal for her work. She will talk to us about the issues within Physics (and STEM in general) and the work she is doing to change this.

Resources on race/racism:
https://www.particlesforjustice.org/resources (or search for "particles for justice")
Anglea Saini's books:
Inferior: How Science Got Women Wrong
& Superior: The Return of Race Science

Convener: Ryan Moodie (IPPP, Durham University)

JessWadeYTF20.mp4

17:00 Plenary session

Professor David Tong is a theoretical physicist at Cambridge studying quantum field theory. He is famous amongst students for his engaging lecturing and his thorough and approachable lecture notes. His research in QFT is diverse, with results in particle physics, gravity, black holes, dualities, string theory, cosmology, condensed matter physics, solitons, and geometry.

Speaker: Prof. David Tong (University of Cambridge)

plenary2.mp4

18:00 → 18:05 Closing remarks

Convener: Andrew Blance (IPPP, Durham University)