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SUMMARY:Modular Symmetry and Flavour
DTSTART;VALUE=DATE-TIME:20190301T140000Z
DTEND;VALUE=DATE-TIME:20190301T150000Z
DTSTAMP;VALUE=DATE-TIME:20200531T141622Z
UID:indico-event-797@conference.ippp.dur.ac.uk
DESCRIPTION:In this talk\, I will review a new and very interesting approa
ch to lepton flavour\, based on invariance of the supersymmetric action un
der the modular group. The couplings in the considered modular-invariant m
odels of lepton masses and mixing are modular forms which\, as well as mat
ter superfields\, transform in irreducible representations of a finite mod
ular group $\\Gamma_N$. I will concentrate on the minimal scenario in whic
h the only source of modular symmetry breaking is the vacuum expectation v
alue of a single complex field\, the modulus. In this scenario\, there is
no need to introduce flavons. After reviewing how to construct the basis f
or the modular forms of weight 2 and level 4\, I will present minimal phen
omenologically viable models based on $\\Gamma_4 \\simeq S_4$ in which neu
trino masses are generated via the type I seesaw mechanism. While successf
ully accommodating charged lepton masses\, neutrino mixing angles and mass
-squared differences\, these models predict the absolute neutrino mass sca
le\, the values of Dirac and Majorana CP-violating phases\, as well as spe
cific correlations between several observables. Finally\, I will comment o
n construction of the basis for 11 modular forms of weight 2 and level 5\,
demonstrating how these forms arrange themselves into two triplets and a
quintet of the finite modular group $\\Gamma_5 \\simeq A_5$. \n\nhttps://
conference.ippp.dur.ac.uk/event/797/
LOCATION:
URL:https://conference.ippp.dur.ac.uk/event/797/
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