2023/03/08 by Devi, Maibam Ricky · 5 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2303.04900
The flavour problem and the viability of texture zeros of the Majorana mass matrix in the 3+1 active-sterile neutrino mixing scenario are investigated in this work using a novel bottom-up technique where we leverage the pertinent concepts of full modular group, modular invariants, and A4 flavour symmetry as theoretical tools for the explicit construction of neutrino models. In this approach we treat each chiral field as modular forms in the 3+1 neutrino mixing which are constrained by the A4 modular symmetry. Using these techniques, we create straightforward predictive models that only depends on a few parameters and simultaneously explains the observed pattern of neutrino mixing without the need for fine-tuning, allowing us to perceive the feasible zero textures of the Majorana mass matrix under the 3+1 framework.We discuss the implications of the allowed 3+1 zero textures by analyzing the sterile neutrino parameters, providing insight into the flavor problem and the viability of the Majorana mass matrix. The values of the active-sterile mixing (ASM) parameters predicted from our models are highly consistent with the 3σ values of the ASM parameters.