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

We propose an SO(10)SO(10) supersymmetric grand unified theory (SUSY GUT), where the SO(10)SO(10) gauge symmetry breaks down to SU(3)c×SU(2)L×U(1)Y×U(1)XSU(3)c×SU(2)L×U(1)Y×U(1)X at the GUT scale and U(1)XU(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) TeVO(100) TeV, so that the U(1)XU(1)X breaking scale is also O(100) TeVO(100) TeV. One big issue in the SO(10)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)XU(1)X gauge interaction may be flavor-violating. We investigate the current constraints on the flavor-violating Z′Z′ interaction from the flavor physics and discuss prospects for future experiments.