Asymmetries in $B \to K^\ast \ell^+ \ell^-$ Decays and Two Higgs Doublet Model

TL;DR

This paper investigates how the Two Higgs Doublet Model affects polarization observables in rare B meson decays, revealing significant deviations from Standard Model predictions that could be tested in experiments.

Contribution

It provides a detailed analysis of polarization asymmetries and branching ratios in B to K* lepton decays within the Two Higgs Doublet Model, highlighting potential experimental signatures.

Findings

THDM effects significantly alter polarized branching ratios.

Order of magnitude differences in muon final states compared to SM.

Observable asymmetries could indicate the presence of an extra Higgs doublet.

Abstract

The study of polarized branching ratio and different lepton polarization asymmeteries in the exclusive rare decays $B\rightarrow K^{\ast}\ell^{+}\ell^{-}$ ($\ell=\mu , \tau$) have been made in the standard model (SM) and in type III of the THDM. It has been found that the effects arise from the THDM are quite promising in the longitudinal and transverse polarized branching ratios $(\mathcal{B}_{L, T})$. Likewise, in case of $\mu$'s as final state leptons, the polarized branching ratios have an order of magnitude difference from their SM results. Similar trends have also been observed both in the longitudinal and normal lepton polarization asymmetries $P_{L, N}$ as well as their average values. We hope that the possible signatures of these observables in $B\rightarrow K^{\ast}\ell^{+}\ell^{-}$ decays at different on going and future experiments will serve as a good tool in the indirect searches of an extra Higgs boson doublet.