A modular \(A_4\) symmetry realization of two-zero textures of the Majorana neutrino mass matrix

DOI10.1016/J.NUCLPHYSB.2020.114935zbMATH Open1473.81236arXiv1910.07869OpenAlexW3003059619WikidataQ126298799 ScholiaQ126298799MaRDI QIDQ2230199

Author name not available (Why is that?)

Publication date: 17 September 2021

Published in: (Search for Journal in Brave)

Abstract: We show how to realize two-zero textures of the Majorana neutrino mass matrix

M_{u}

based on modular

A_{4}

invariant models without flavons. In these models, all matter fields are assigned to three inequivalent singlets,

,

and

, of the finite modular group

G a m m a_{3} s i m e q A_{4}

. Considering tensor products of the

A_{4}

group, it is easy to make the charged lepton mass matrix

M_{e} l l

diagonal. Since not all modular forms of a specific weight and level 3 can be arranged into three inequivalent singlets of

A_{4}

simultaneously, we can always make some entries in

M_{u}

vanish by properly assigning the representations and modular weights for the matter fields. We consider two cases where neutrino masses originate from the Weinberg operator and the type-I seesaw mechanism, respectively. For the former case, all seven viable two-zero textures of

M_{u}

(

,

and

) can be realized successfully. For the latter case, only five of them (namely

,

and

) can be achieved due to the intrinsic structure of the right-handed neutrino mass matrix

M_{m R}

in our assumption for simplicity.

Full work available at URL: https://arxiv.org/abs/1910.07869

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