Rare semileptonic $B \to K(\pi)l_i^- l_j^+$ decay in vector leptoquark model

TL;DR

This paper explores how vector leptoquarks could induce rare lepton flavor violating decays of B mesons, constraining their parameters with existing data and predicting observable effects like asymmetries and anomalies.

Contribution

It provides new constraints on vector leptoquark parameters and predicts branching ratios and asymmetries for LFV B decays within this model.

Findings

Constrained leptoquark parameter space using existing decay data.

Predicted branching ratios for LFV B decays within the model.

Analyzed impact on muon g-2 anomaly.

Abstract

We investigate the consequence of vector leptoquarks on the rare semileptonic lepton flavour violating decays of $B$ meson which are more promising and effective channels to probe the new physics signal. We constrain the resulting new leptoquark parameter space by using the branching ratios of $B_{s, d} \to l^+ l^-$, $K_L \to l^+ l^-$ and $\tau^- \to l^- \gamma$ processes. We estimate the branching ratios of rare lepton flavour violating $B \to K(\pi)l_i^- l_j^+$ processes using the constrained leptoquark couplings. We also compute the forward-backward asymmetries and the lepton non-universality parameters of the LFV decays in the vector leptoquark model. Furthermore, we study the effect of vector leptoquark on $(g-2)_\mu$ anomaly.