Model-independent analysis on $R(K^{(*)})$

TL;DR

This paper conducts a model-independent analysis of the $R(K^{(*)})$ lepton-universality violation in B decays, considering constraints from $B_s o\mu^+\mu^-$, and explores new physics effects on Wilson coefficients up to a 5 TeV scale.

Contribution

It provides a model-independent framework to analyze $R(K^{(*)})$ anomalies, incorporating $B_s o\mu^+\mu^-$ constraints and estimating the new physics scale and Wilson coefficient effects.

Findings

Allowed new physics scale up to ~5 TeV

Wilson coefficient $C_{9NP}^\mu$ ranges from -1 to 0

Branching ratio constraints restrict parameter space

Abstract

We analyze the lepton-universality violating $B\to K^{(*)}\ell^+\ell^-$ puzzle $R(K^{(*)})$ in a model-independent way. The branching ratio ${\rm Br}(B_s\to\mu^+\mu^-)$ is also considered as a main constraint. We show how the branching ratio restricts the allowed region of the parameter space, and investigate new physics effects on the electronic as well as muonic sector in $R(K^{(*)})$. Within a reasonable range of parameters we find that the new physics scale goes up to $\sim 5$ TeV, and the new physics effects on the Wilson coefficient is $-1\lesssim C_{9NP}^\mu\lesssim 0$.