Implication of A4 modular symmetry on neutrino masses, mixing and leptogenesis

27 Jun 2024, 10:45
45m
1010 (ISEB)

1010

ISEB

419 Physical Sciences Quad, Irvine, CA 92697

Speaker

Rukmani Mohanta

Description

Motivated by the crucial role played by the discrete flavour symmetry groups in explaining the
observed neutrino oscillation data, we consider the application $A_4$ modular symmetry in the
linear seesaw framework. The basic idea behind using the modular symmetry is to minimize the
necessity of the inclusion of extra flavon fields having specific vacuum expectation value (VEV) alignments.
The breaking of flavor symmetry takes place when the complex modulus $\tau$ acquires VEV.
The main issue of the perplexing vacuum alignment is avoided, the only requirement is a certain
kind of mechanism which can fix the modulus $\tau$. The non-trivial transformation of Yukawa
couplings under the $A_4$ modular symmetry helps to explore the neutrino phenomenology with
a specific flavor structure of the mass matrix. We discuss the phenomena of neutrino mixing and also
show the non-zero CP asymmetry from the decay of lightest heavy fermion superfield to explain
the preferred phenomena of baryogenesis through leptogenesis including flavor effects.

Presentation materials