Flavor violating $Z^{\prime }$ from $SO(10)$ SUSY GUT in High-Scale SUSY

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 $16$-dimensional but also $10$-dimensional matter fields are introduced to predict the observed fermion masses and mixings. The Standard-Model quarks and leptons are linear combinations of the $16$- and $10$-dimensional fields so that the $U(1{)}_X$ gauge interaction may be flavor-violating. We investigate the current constraints on the flavor-violating $Z^{\prime }$ interaction from the flavor physics and discuss prospects for future experiments.

13 pages, IPMU-15-0030

References in corpus (2)

• Mu2e Technical Design Report
• Enhancement of Proton Decay Rates in Supersymmetric SU(5) Grand Unified Models

Cited by in corpus (3)

• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• Flavor physics induced by light $Z^{\prime }$ from SO(10) GUT
• Toward Realistic Gauge-Higgs Grand Unification