Correlations in Minimal U(2)^3 models and an SO(10) SUSY GUT model facing new data

Abstract

Models with an approximate U(2)^3 flavour symmetry represent simple non-MFV extensions of the SM. We compare correlations of Delta F = 2 observables in CMFV and in a minimal version of U(2)^3 models, MU(2)^3, where only the minimal set of spurions for breaking the symmetry is used and where only SM operators are relevant. Due to the different treatment of the third generation MU(2)^3 models avoid the Delta M_{s,d}-|epsilon_K| correlation of CMFV which precludes to solve the S_{psi K_S}- |epsilon_K| tension present in the flavour data. While the flavour structure in K meson system is the same for CMFV and MU(2)^3 models, CP violation in B_{d,s} system can deviate in MU(2)^3 models from CMFV. We point out a triple correlation between S_{psi phi}, S_{psi K_S} and |V_{ub}| that can provide a distinction between different MU(2)^3 models. GUTs open the possibility to transfer the neutrino mixing matrix U_{PMNS} to the quark sector which leads to correlations between leptonic and hadronic observables. This is accomplished in a controlled way in an SO(10) SUSY GUT model proposed by Chang, Masiero and Murayama (CMM model) whose flavour structure differ significantly from the constrained MSSM. We present a summary of a global analysis of several flavour processes containing B_s-overline{B}_s mixing, b -> s gamma and tau -> mu gamma. Furthermore we comment on the implications on the model due to the latest data of S_{psi phi}, theta_{13} and the Higgs mass.