Exploiting Perpendicular Momentum Distributions of Semileptonic Decays: $\bar{B}_s^0\to D_s^+\mu^-\bar\nu$ as a Case Study

TL;DR

This paper analyzes the perpendicular momentum distributions in semileptonic B_s decays, demonstrating how such measurements can extract CKM matrix elements and form factor information, with a case study on LHCb data.

Contribution

It introduces a novel approach to analyze semileptonic decay distributions based on perpendicular momentum components, applied to LHCb data for the first time.

Findings

Extracted |V_{cb}| from LHCb data

Provided insights into hadronic form factors

Highlighted benefits and limitations of perpendicular momentum measurements

Abstract

We derive the differential distribution of semileptonic decays with respect to the perpendicular momentum component of the final state hadron. The benefits and shortfalls arising from measurements of these distributions are discussed. Our approach is illustrated on the LHCb measurement of the $\bar{B}_s^0\to D_s^+\mu^-\bar\nu$ decay distribution where the publicly available data by the LHCb experiment is used in an independent phenomenological analysis for the first time. We extract the CKM element $|V_{cb}|$ and information on the shape of the relevant hadronic form factors from the measurement of the binned rate in the perpendicular momentum component of the hadron.