Rare decays $B_s\to l^+l^-$ and $B\to Kl^+l^-$ in \the topcolor-assisted technicolor model

TL;DR

This paper investigates rare B meson decays within the topcolor-assisted technicolor model, finding enhanced branching ratios and analyzing lepton asymmetries, which could help distinguish new physics effects from the standard model.

Contribution

It provides a detailed evaluation of how the topcolor-assisted technicolor model affects rare B decay processes and compares these effects to standard model predictions.

Findings

Branching ratios are increased by an order of magnitude compared to the standard model.

Lepton polarization asymmetry in $B_s o l^+l^-$ can reach about 1%.

Forward-backward asymmetry in $B o Kl^+l^-$ is too small for future measurement.

Abstract

We examine the rare decays $B_s\to l^+l^-$ and $B\to Kl^+l^-$ in the framework of the topcolor-assisted technicolor ($TC2$) model. The contributions of the new particles predicted by this model to these rare decay processes are evaluated. We find that the values of their branching ratios are larger than the standard model predictions by one order of magnitude in wide range of the parameter space. The longitudinal polarization asymmetry of leptons in $B_s \to l^+l^-$ can approach $\ord(10^{-2})$. The forward-backward asymmetry of leptons in $B \to Kl^+l^-$ is not large enough to be measured in future experiments. We also give some discussions about the branching ratios and the asymmetry observables related to these rare decay processes in the littlest Higgs model with T-parity.