SU(5) GUTs with A4 modular symmetry

Journal of High Energy Physics

Peng Chen¹  Gui-Jun Ding²  Stephen F. King³ 

[1] College of Information Science and Engineering, Ocean University of China, 266100, Qingdao, China;Peng Huanwu Center for Fundamental Theory, 230026, Hefei, Anhui, China;Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, 230026, Hefei, Anhui, China;Physics and Astronomy, University of Southampton, SO17 1BJ, Southampton, U.K.;

关键词: Discrete Symmetries;    GUT;    Neutrino Physics;    Quark Masses and SM Parameters;   

DOI  :  10.1007/JHEP04(2021)239

来源: Springer

【 摘 要 】

We combine SU(5) Grand Unified Theories (GUTs) with A4 modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. Classifying the models according to the representation assignments of the matter fields under A4, we find that there are seven types of SU(5) models with A4 modular symmetry. We present 53 benchmark models with the fewest free parameters. The parameter space of each model is scanned to optimize the agreement between predictions and experimental data, and predictions for the masses and mixing parameters of quarks and leptons are given at the best fitting points. The best fit predictions for the leptonic CP violating Dirac phase, the lightest neutrino mass and the neutrinoless double beta decay parameter when displayed graphically are observed to cover a wide range of possible values, but are clustered around particular regions, allowing future neutrino experiments to discriminate between the different types of models.

【 授权许可】

CC BY