Type III seesaw under modular symmetry with leptogenesis

Priya Mishra; Mitesh Kumar Behera; Papia Panda; Rukmani Mohanta

doi:10.1140/epjc/s10052-022-11074-6

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 1115
https://doi.org/10.1140/epjc/s10052-022-11074-6

Regular Article - Theoretical Physics

Type III seesaw under $A_{4}$ modular symmetry with leptogenesis

Priya Mishra, Mitesh Kumar Behera, Papia Panda and Rukmani Mohanta^d

School of Physics, University of Hyderabad, 500046, Hyderabad, India

^d rmsp@uohyd.ac.in

Received: 22 July 2022
Accepted: 24 November 2022
Published online: 9 December 2022

Abstract

We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering $A_{4}$ $$A_4$$ modular symmetry in the super-symmetric context. In addition, we have included a local $U {(1)}_{B - L}$ $U(1)_{B-L}$ symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves three fermion triplet superfields $Σ_{R}$ $\Sigma _R$ , along with which, we have included a singlet weighton field $(ρ)$ $(\rho )$ . 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 $η (τ)$ $\eta (\tau )$ . 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 and also successfully explains observed baryon asymmetry of the universe through leptogenesis.

© The Author(s) 2022

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