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SUMMARY:Modullar Invariance Approch to the Flavour Problem: Fermion Mass H
ierarchies and Residual Modular Symmetries
DTSTART;VALUE=DATE-TIME:20210726T082000Z
DTEND;VALUE=DATE-TIME:20210726T084000Z
DTSTAMP;VALUE=DATE-TIME:20211022T041445Z
UID:indico-contribution-105938@indico.desy.de
DESCRIPTION:Speakers: Serguey Petcov (SISSA/INFN\, Trieste\, Italy)\nWe wi
ll discuss the approach to the flavour problem\nbased on modular invarianc
e.\nIn modular-invariant models of flavour\,\nhierarchical fermion mass ma
trices may arise\nsolely due to the proximity of the modulus $\\tau$\nto a
point of residual symmetry.\nThis mechanism does not require flavon field
s\, and modular\nweights are not analogous to Froggatt-Nielsen charges.\nW
e show that hierarchies depend on the decomposition\nof field representati
ons under the residual symmetry group.\nWe systematically go through the\n
possible fermion field representation choices which may yield\nhierarchica
l structures in the vicinity of symmetric points\,\nfor the four smallest
finite modular groups\, isomorphic\nto $S_3$\, $A_4$\, $S_4$\, and $A_5$\,
as well as for their double covers.\nWe find a restricted set of pairs of
representations for which the\ndiscussed mechanism may produce viable fer
mion (charged-lepton and quark)\nmass hierarchies. After formulating the c
onditions for obtaining a viable lepton\nmixing matrix in the symmetric li
mit\, we construct a model in which both\nthe charged-lepton and neutrino
sectors are free from fine-tuning.\n\nhttps://indico.desy.de/event/28202/c
ontributions/105938/
LOCATION:Zoom
URL:https://indico.desy.de/event/28202/contributions/105938/
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