Work

Modular S 4 × S U ( 5 ) GUT

Year: 2021

Type: article

Abstract: Modular symmetry offers the possibility to provide an origin of discrete flavor symmetry and to break it along particular symmetry preserving directions without introducing flavons or driving fields. It is also possible to use a weighton field to account for charged fermion mass hierarchies rather than a Froggatt-Nielsen mechanism. Such an approach can be applied to flavored grand unified theories (GUTs) which can be greatly simplified using modular forms. As an example, we consider a modular version of a previously proposed ${S}_{4}\ifmmode\times\else\texttimes\fi{}SU(5)$ GUT, with Gatto-Sartori-Tonin and Georgi-Jarlskog relations, in which all flavons and driving fields are removed, with their effect replaced by modular forms with moduli assumed to be at various fixed points, rendering the theory much simpler. In the neutrino sector there are two right-handed neutrinos constituting a Littlest Seesaw model satisfying constrained sequential dominance where the two columns of the Dirac neutrino mass matrix are proportional to $(0,1,\ensuremath{-}1)$ and $(1,n,2\ensuremath{-}n)$ respectively, and $n=1+\sqrt{6}\ensuremath{\approx}3.45$ is prescribed by the modular symmetry, with predictions subject to charged lepton mixing corrections. We perform a numerical analysis, showing quark and lepton mass and mixing correlations around the best fit points.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.104.055034

Authors: Gui-Jun Ding, Stephen F. King, Chang-Yuan Yao

Institutions: University of Science and Technology of China, Peng Huanwu Center for Fundamental Theory, University of Southampton, Nankai University

Language: Latvian

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid