Scattering Amplitudes and Finite Field Arithmetic

10 Jun 2019, 09:00 → 12 Jun 2019, 14:00 Europe/London

OCW017

Joanne Bentham (Durham University), Simon Badger (Durham IPPP), Tiziano Peraro (University of Zurich)

In recent times, finite fields and functional reconstruction techniques have been proven capable of tackling very challenging problems in the field of scattering amplitudes. In this focused workshop, a small number of experts in the field will gather, in an informal environment, to discuss current approaches and possible future applications relevant to quantum field theory and precision LHC physics.  It will consist of a limited number of talks and open discussion sessions.  We also plan to dedicate some time to demonstrate some examples of applications of these techniques.

Participation is by invitation only.

Monday, 10 June

09:00 Registration

1 Andreas von Manteuffel

Employing finite fields and syzygies for the reduction of Feynman integrals

11:00 Coffee

2 Tiziano Peraro

FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

12:30 Discussion

13:00 Lunch

3 William Torres Bobadilla

Recent advances on the adaptive integrand decomposition algorithm and the loop-tree duality formalism at two loops

15:30 Discussion

16:00 Coffee

Tuesday, 11 June

4 Pierpaolo Mastrolia

Intersection Theory for Feynman Integrals

11:00 Coffee

5 Andrea Pelloni

Finite fields in the N3LO differential Higgs

12:30 Discussion

13:00 Lunch

6 Christian Brønnum-Hansen

Integrand reduction from Feynman diagrams using FiniteFlow

15:30 Discussion

16:00 Coffee

19:30 Dinner

ASK Italian, Walkergate

Wednesday, 12 June

7 Amedeo Primo

Differential equations and massive Feynman integrals

11:00 Coffee

8 Hjalte Frellesvig

Intersection theory and Higgs physics

12:30 Discussion

13:00 Lunch and departure