Quark and lepton masses and mixing in SO(10) with a GUT-scale vector matter

TL;DR

This paper investigates how quark and lepton masses and mixing patterns can be explained within a SUSY SO(10) grand unified model featuring an extra vector matter multiplet at the GUT scale, revealing correlations between neutrino mixing and quark sector parameters.

Contribution

It introduces a detailed analysis of matter fermion mass sum-rules in SUSY SO(10) models with a vector matter multiplet, highlighting the impact of type-II seesaw dominance on fermion mixing correlations.

Findings

Correlation between atmospheric neutrino mixing and quark sector parameters.

Dominance of type-II seesaw contribution influences fermion mass relations.

Extra vector matter multiplet affects fermion mass sum-rules.

Abstract

We explore in detail the effective matter fermion mass sum-rules in a class of renormalizable SUSY SO(10) grand unified models where the quark and lepton mass and mixing patterns originate from non-decoupling effects of an extra vector matter multiplet living around the unification scale. If the renormalizable type-II contribution governed by the SU(2)_L-triplet in 54_H dominates the seesaw formula, we obtain an interesting correlation between the maximality of the atmospheric neutrino mixing and the proximity of y_s/y_b to V_cb in the quark sector.