Direct determination of Wilson coefficients using $B^0\to K^{*0}\mu^+\mu^-$ decays

TL;DR

This paper introduces a new method for directly extracting Wilson coefficients from $B^0 o K^{*0}\mu^+\mu^-$ decays, improving sensitivity and utilizing all experimental data optimally.

Contribution

The paper presents a novel unbinned maximum likelihood approach for directly determining Wilson coefficients, surpassing traditional binned angular analysis methods.

Findings

Method shows improved sensitivity in pseudoexperiments.

Applicable to combined LHCb Run 1 and 2 data.

Automatically accounts for experimental correlations.

Abstract

A method to directly determine the Wilson coefficients for rare $b\to s$ transitions using $B^0\to K^{*0}\mu^+\mu^-$ decays in an unbinned maximum likelihood fit is presented. The method has several advantages compared to the conventional determination of the Wilson coefficients from angular observables that are determined in bins of $q^2$, the square of the mass of the dimuon system. The method uses all experimental information in an optimal way and automatically accounts for experimental correlations. Performing pseudoexperiments, we show the improved sensitivity of the proposed method for the Wilson coefficients. We also demonstrate that it will be possible to use the method with the combined Run 1 and 2 data sample taken by the LHCb experiment.