Phenomenology of a Gauged SU(3)^3 Flavour Model

Abstract

We present an extensive analysis of Delta F=2 observables and of B -> X_s gamma in the framework of a specific Maximally Gauged Flavour (MGF) model of Grinstein et al. including all relevant contributions, in particular tree-level heavy gauge boson exchanges that are considered in the present paper for the first time. The model allows in principle for significant deviations from the Standard Model predictions for epsilon_K, Delta M_{B_{d,s}}, mixing induced CP-asymmetries S_{psi K_S} and S_{psi phi} and B -> X_s gamma decay. The tension between epsilon_K and S_{psi K_S} present in the SM can be removed by enhancing |epsilon_K| without modifying S_{psi K_S}. In this case, we find that in this model i) the results for S_{psi phi} and B -> X_s gamma turn out to be SM-like, ii) the exclusive determination of |Vub| is favoured and most importantly iii) the values of Delta M_{B_d} and Delta M_{B_s} being strongly correlated in this model with epsilon_K turn out to be much larger than the data for the central values of input parameters: Delta M_{B_d}~0.75/ps and Delta M_{B_s}~27/ps. Therefore, from the present perspective, the model suffers from a serious epsilon_K-Delta M_{B_{d,s}} tension. However, this tension can be softened considering theoretical and parametric uncertainties and in particular the decrease of the weak decay constants. On the other side, the model can be strongly constrained considering the theoretically cleaner ratios Delta M_{B_d}/Delta M_{B_s} and BR(B^_s16 -> tau^_s16 nu)/Delta M_{B_d} and we find that it is unable to remove simultaneously all the SM tensions on the data. Finally, we compare the pattern of flavour violation in MGF with selected extensions of the SM.