Flavor violating $Z'$ from $SO(10)$ SUSY GUT in High-Scale SUSY

TL;DR

This paper develops an $SO(10)$ SUSY GUT model with a flavor-violating $Z'$ gauge boson, analyzing its implications for flavor physics and experimental constraints within a high-scale SUSY framework.

Contribution

It introduces a novel $SO(10)$ SUSY GUT model incorporating both ${f 16}$ and ${f 10}$ matter fields to explain fermion masses and predicts flavor-violating $Z'$ interactions.

Findings

Constraints on flavor-violating $Z'$ from current experiments

Predictions for future flavor physics experiments

Compatibility with observed Higgs mass and fermion mixing

Abstract

We propose an $SO(10)$ supersymmetric grand unified theory (SUSY GUT), where the $SO(10)$ gauge symmetry breaks down to $SU(3)_c \times SU(2)_L \times U(1)_Y\times U(1)_{X}$ at the GUT scale and $U(1)_X$ is radiatively broken at the SUSY-braking scale. In order to achieve the observed Higgs mass around $126$ GeV and also to satisfy constraints on flavor- and/or CP-violating processes, we assume that the SUSY-breaking scale is $O(100)$ TeV, so that the $U(1)_X$ breaking scale is also $O(100)$ TeV. One big issue in the SO(10) GUTs is how to realize realistic Yukawa couplings. In our model, not only ${\bf 16}$-dimensional but also ${\bf 10}$-dimensional matter fields are introduced to predict the observed fermion masses and mixings. The Standard-Model quarks and leptons are linear combinations of the ${\bf 16}$- and ${\bf 10}$-dimensional fields so that the $U(1)_{X}$ gauge interaction may be flavor-violating. We investigate the current constraints on the flavor-violating $Z'$ interaction from the flavor physics and discuss prospects for future experiments.