A modular \(A_4\) symmetric model of dark matter and neutrino

DOI10.1016/J.PHYSLETB.2019.134799zbMATH Open1427.81076arXiv1904.03937OpenAlexW2927071984WikidataQ127492258 ScholiaQ127492258MaRDI QIDQ2281075

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Publication date: 19 December 2019

Published in: (Search for Journal in Brave)

Abstract: We propose a model based on modular $A_4$ symmetry containing a dark matter candidate, realizing radiatively induced neutrino mass at one-loop level. One finds that stability of dark matter candidate can be assured by nonzero value of modular weight and heavy neutral fermion mass hierarchies, which include dark matter under the $A_4$ triplet, are uniquely determined; $M_{X}ll{M}_2<M_3$. Therefore we clearly identify single dark matter field which can discriminate from the other models with $A_4$ modular symmetry. Then we discuss several phenomenological aspects and show predictions on the lepton sector.Especially, we find $0.56lesssimsi{n}^{2}het{a}_{23}lesssim0.624$, which could have an advantage of this narrow region and be also discriminated from the other modular $A_4$ models.

Full work available at URL: https://arxiv.org/abs/1904.03937

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