Implications from ${B\to K^*\ell^+\ell^-}$ observables using $3 \text{fb}^{-1}$ of LHCb data

TL;DR

This paper analyzes LHCb data on the decay $B\to K^*\ell^+\ell^-$ to identify deviations from Standard Model predictions, revealing potential signs of new physics through discrepancies in form factors and angular observables.

Contribution

It introduces a model-independent method to extract decay parameters from experimental data and uncovers significant deviations from theoretical expectations in multiple observables.

Findings

Discrepancies in form factors across several $q^2$ bins.

Violation of expected relations between form factors at high $q^2$.

Deviations in forward-backward asymmetry suggesting new physics.

Abstract

The decay mode $B\to K^*\ell^+\ell^-$ results in the measurement of a large number of related observables by studying the angular distribution of the decay products and is regarded as a sensitive probe of physics beyond the standard model (SM). Recently, LHCb has measured several of these observables using $3 \text{fb}^{-1}$ data, as a binned function of $q^2$, the dilepton invariant mass squared. We show how data can be used without any approximations to extract theoretical parameters describing the decay and to obtain a relation amongst observables within the SM. We find three kinds of significant disagreement between theoretical expectations and values obtained by fits. The values of the form factors obtained from experimental data show significant discrepancies when compared with theoretical expectations in several $q^2$ bins. We emphasize that this discrepancy cannot arise due to resonances and non-factorizable contributions from charm loops. Further, a relation between form factors expected to hold at large $q^2$ is very significantly violated. Finally, the relation between observables also indicates some deviations in the forward-backward asymmetry in the same $q^2$ regions. These discrepancies are possible evidence of physics beyond the SM.