Exploring Neutrino Masses and Mixing in the Seesaw Model with ${L_e-L_j}$ Gauged Symmetry

Behera, Mitesh Kumar; Panda, Papia; Mishra, Priya; Singirala, Shivaramakrishna; Mohanta, Rukmani

doi:10.48550/arxiv.2108.04066

Cited by 2 publications

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“…Literature survey shows there are many flavor symmetries either discrete A 4 [23][24][25], S 3 [26][27][28][29], S 4 [30][31][32] etc. or continuous U (1) B−L [33][34][35][36][37], U (1) H [38][39][40], U (1) Le−Lτ [41,42] etc., which can generate the tiny neutrino masses and also accommodate the observed neutrino oscillation data with the help of some additional scalars and perturbation (wherever required). As aforesaid, inclusion of flavons affects the neatness of the model and the predictability of the model is hampered because of the higher dimensional operators.…”

Section: Introductionmentioning

confidence: 99%

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

Behera¹,

Mohanta²

2022

Preprint

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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.

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Section: Introductionmentioning

confidence: 99%

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

Behera¹,

Mohanta²

2022

Preprint

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“…It is interesting to notice that many non-abelian discrete symmetries i.e., S 3 [28][29][30][31], A 4 [32][33][34][35], S 4 [36][37][38] etc. and continuous symmetries like U (1) B−L [39][40][41][42][43][44][45], U (1) Le−Lµ [46][47][48][49], U (1) H [50][51][52][53] etc. come to our rescue to develop the model and generate neutrino mass matrix which gives results in-accordance with experimental data.…”

Section: Introductionmentioning

confidence: 99%

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

Mishra¹,

Behera²,

Panda³

et al. 2022

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We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering A 4 modular symmetry in the super-symmetric context. In addition, we have included local U (1) B−L symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves the fermion triplet superfields Σ, along with which, we have included a singlet weighton field (ρ). In here, modular symmetry plays a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function η(τ ). However, for numerical analysis we use q expansion expressions of these couplings. Therefore, the model discussed here is triumphant enough to accommodate the observed neutrino oscillation data. Additionally, it also successfully explains leptogenesis and sheds some light on the current results of muon (g − 2).

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Exploring Neutrino Masses and Mixing in the Seesaw Model with ${L_e-L_j}$ Gauged Symmetry

Cited by 2 publications

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

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

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

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