Analysis of a model with a common source of CP violation

We work in a model where all CP-violating phenomena have a common source. CP is spontaneously broken at a large scale V through the phase of a complex singlet scalar. An additional SU(2)L singlet vector-like down-type quark relates this high scale CP violation to low energy. We quantitatively analyse this model in the quark sector. We obtain the numerical values of the parameters of the Lagrangian in the quark sector for a specific ansatz of the 4 4 down-type quark mass matrix where the weak phase is generated minimally. vertex will modify in presence of the extra vector-like down-type quark. From the experimental lower bound of the partial decay width , we find the lower bound of the additional down-type quark mass. Tree level flavour changing neutral current appears in this model due to the presence of the extra vector-like down-type quark. We give the range of values of the mass splitting in system using SM box, Z-mediating tree level and Z-mediating one loop diagrams together for both q = d, s. We find the analytical expression for Γq12 in this model from standard box, Z- and Higgs-mediated penguin diagrams for system, q = d, s. From this we numerically evaluate the decay width difference . We also find the numerical values of the CP asymmetry parameters aJ and aπ for the decays B0d → J/ψKs and B0d → π+π−, respectively. We get the lower bound of the scale V through the upper bound of the strong CP phase.