Higgs-induced flavor-changing neutral current as a source of new physics in b → s transitions

The experimental study of B mesons suggest the existence of some new physics contribution to the B-s(0) - (B) over bar (0)(s) mixing. We study the implications of a hypothesis that this contribution is generated by the Higgs-induced flavor-changing neutral currents (FCNC). We concentrate on the specific b --> s transition which is described by two complex FCNC parameters, F-23 and F-32, and parameters in the Higgs sector. Model-independent constraints on these parameters are derived from the B-s(0) - (B) over bar (0)(s) mixing and are used to predict the branching ratios for (B) over bar (s) --> mu(+)mu(-) and (B) over bar (d) --> (K) over bar mu(+)mu(-) numerically by considering general variations in the Higgs parameters assuming that Higgs sector conserves CP. Taking the results on B-s(0) - (B) over bar (0)(s) mixing derived by the global analysis of UTfit group as a guide we present the general constraints on F-23* F-32 in terms of the pseudoscalar mass M-A. The former is required to be in the range similar to(1-5) x 10(-11)M(A)(2) GeV-2 if the Higgs-induced FCNC represent the dominant source of new physics. The phases of these couplings can account for the large CP violating phase in the B-s(0) - (B) over bar (0)(s) mixing except when F-23 = F-32. The Higgs contribution to (B) over bar (s) --> mu(+)mu(-) branching ratio can be large, close to the present limit while it remains close to the standard model value in case of the process (B) over bar (d) --> (K) over bar mu(+)mu(-) for all the models under study. We identify and discuss various specific examples which can naturally lead to suppressed FCNC in the K-0 - (K) over bar (0) mixing allowing at the same time the required values for F-23* and F-32.