Exclusive B --> K^* l^+ l^-$ decay in the three Higgs doublet model

TL;DR

This paper investigates the effects of a three Higgs doublet model with global symmetry on the B --> K^* l^+ l^- decay, revealing potential enhancements in branching ratio and CP violation, and emphasizing the importance of future measurements for new physics insights.

Contribution

It introduces analysis of B --> K^* l^+ l^- decay within a three Higgs doublet model with global symmetry, highlighting effects on CP asymmetry and Wilson coefficients.

Findings

Enhanced branching ratio observed in the model.

Significant CP violation predicted for the decay.

Future measurements can determine the sign of Wilson coefficient C_7^{eff}.

Abstract

We study the differential Branching ratio and CP asymmetry for the exclusive decay B --> K^* l^+ l^- in the three Higgs doublet model with additional global O(2) symmetry in the Higgs sector. We analyse dilepton mass square q^2 dependency of the these quantities. Further, we study the effect of new parameter of the global symmetry in the Higgs sector on the differential branching ratio and CP asymmetry. We see that there exist an enhancement in the branching ratio and a considerable CP violation for the relevant process. In addition to this, we realize that fixing dilepton mass gives information about the sign of the Wilson coefficient C_7^{eff}.Therefore, the future measurements of the CP asymmetry for B\to K^* l^+ l^- decay will give a powerful information about the sign of Wilson coefficient C_{7}^{eff} and new physics beyond the SM.