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.

arXiv comment13 pages, IPMU-15-0030

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Cited by in corpus (8)

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• Exotic see-saw mechanism for neutrinos and leptogenesis in a Pati-Salam model
• Non-universal Z' from SO(10) GUTs with vector-like family and the origin of neutrino masses
• Flavor physics in the multi-Higgs doublet models induced by the left-right symmetry
• Flavor physics induced by light $Z^{\prime }$ from SO(10) GUT
• Toward Realistic Gauge-Higgs Grand Unification
• Hidden sector behind the CKM matrix
• Two-loop Anomalous Dimensions for Four-Fermi Operators in Supersymmetric Theories