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Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw

Authors :
Antusch, Stefan
Hinze, Kevin
Saad, Shaikh
Publication Year :
2023

Abstract

We consider an extension of the Georgi-Glashow SU(5) GUT model by a 45-dimensional scalar and a 24-dimensional fermionic representation, where the latter leads to the generation of the observed light neutrino masses via a combination of a type I and a type III seesaw mechanism. Within this scenario, we investigate the viability of predictions for the ratios between the charged lepton and down-type quark Yukawa couplings, focusing on the second and third family. Such predictions can emerge when the relevant entries of the Yukawa matrices are generated from single joint GUT operators (i.e. under the condition of single operator dominance). We show that three combinations are viable, (i) $y_\tau/y_b=3/2$, $y_\mu/y_s=9/2$, (ii) $y_\tau/y_b=2$, $y_\mu/y_s=9/2$, and (iii) $y_\tau/y_b=2$, $y_\mu/y_s=6$. We extend these possibilities to three toy models, accounting also for the first family masses, and calculate their predictions for various nucleon decay rates. We also analyse how the requirement of gauge coupling unification constrains the masses of potentially light relic states testable at colliders.<br />Comment: 12 pages + 2 appendices + references, 4 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2301.03601
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.nuclphysb.2023.116195