Linear seesaw in $A^\prime_5$ modular symmetry with Leptogenesis

Abstract

We investigate the implication of modular A 5 symmetry on neutrino oscillation phenomenology in the linear seesaw framework. In order to achieve the well defined mass structure for the light active neutrinos as dictated by the linear seesaw mechanism, we introduce six heavy fermion fields along with a weighton. The notable feature of modular symmetry is that, it reduces the usage of flavon fields significantly. In addition, the Yukawa couplings transform non-trivially under the flavor symmetry group and expressed in terms of the Dedekind eta functions, the q expansion of which renders numerical simplicity in calculations. We demonstrate that the model framework diligently accommodates all the neutrino oscillation data. Alongside, we also scrutinize the effect of CP asymmetry generated from the lightest heavy fermion decay for explaining the observed baryon asymmetry through the phenomenon of leptogenesis.

Neutrino phenomenology, muon and electron (g-2) under $U(1)$ gauged symmetries in an extended inverse seesaw model

“…To prove the existence of such massive neutrino is impractical for current experiments, hence, its usage is very regular as seen in myriad literatures. On the other hand, additional variants of seesaw are type-II [7][8][9][10] seesaw with scalar triplets, type-III [11][12][13][14] seesaw with fermion triplets, linear seesaw [15][16][17][18][19], inverse seesaw [20][21][22][23][24][25][26][27][28][29][30][31] etc. Here, we explore the case of inverse seesaw using the extended symmetries, where we involve three right handed neutrinos N iR and three neutral fermions S iL (i = 1, 2, 3).…”

Type III seesaw under $A_4$ modular symmetry with leptogenesis and muon $g-2$

“…S 4 [69][70][71][72][73][74][75], Γ 5 A 5 [76][77][78], Γ 5 A 5 [79][80][81][82] etc. We make an attempt to use A 4 modular symmetry which is isomorphic to Γ 3 .…”