# Model independent analysis of New Physics effects on $B_c \to (D_s,\,D^{\ast}_s)\,\mu^+\mu^-$ decay observables

## TL;DR

This paper investigates the effects of potential new physics on specific B meson decays involving muons, using a model-independent approach to interpret anomalies in related decay processes and predict observable deviations.

## Contribution

It provides model-independent predictions for $B_c o (D_s, D^{ ext{*}}_s)\, ext{mu}^+ ext{mu}^-$ decay observables incorporating recent global fits, offering tests for new physics scenarios.

## Key findings

- Predicted differential branching ratios and asymmetries under various new physics hypotheses.
- Identified potential deviations from Standard Model expectations in decay observables.
- Results can be tested at the Large Hadron Collider.

## Abstract

Motivated by the anomalies present in $b \to s\,l^+\,l^-$ neutral current decays, we study the corresponding $B_c \to (D_s,\,D^{\ast}_s)\mu^+\mu^-$ decays within the standard model and beyond. We use a model independent effective theory formalism in the presence of vector and axial vector new physics operators and study the implications of the latest global fit to the $b \to s\,l^+\,l^-$ data on various observables for the $B_c \to (D_s,\,D^{\ast}_s)\mu^+\mu^-$ decays. We give predictions on several observables such as the differential branching ratio, ratio of branching ratios, forward backward asymmetry, and the longitudinal polarization fraction of the $D^{\ast}_s$ meson within standard model and within various new physics scenarios. These results can be tested at the Large Hadron Collider and, in principle, can provide complimentary information regarding new physics in $b \to s\,l^+\,l^-$ neutral current decays.