$B$ anomalies: From warped models to colliders

TL;DR

This paper explores solutions to B meson decay anomalies within warped custodial models, analyzing different lepton non-universality scenarios and their implications for rare Kaon decays and Wilson coefficients.

Contribution

It introduces two distinct lepton non-universality scenarios in warped models and connects their predictions to observable decay ratios and Wilson coefficient patterns.

Findings

Different scenarios predict unique rare Kaon decay signatures.

Electron contributions to Wilson coefficients enable diverse solution patterns.

Mapping decay ratios to Wilson coefficients helps identify viable new physics models.

Abstract

We address the anomalies in the semi leptonic decays of $B$ mesons in a warped custodial framework. Two possible solutions of lepton non-universality are discussed: A) The muon singlets couple non-universally to NP and B) The non-universality is in the coupling of lepton doublets. Both these scenarios are characterized by different predictions for rare Kaon decays. An essential feature of these scenarios is that the electron contribution to the Wilson coefficients (WC) is non-vanishing, thereby offering possibilities for different patterns of solutions. Beginning with a generic $Z'$ model, we demonstrate how the observation of the ratio $N_{\mu\mu}/N_{ee}$ can be mapped to a given pattern of WC which satisfy the anomalies.