Systematic analysis of the $ B_s\rightarrow f_0 \ell^+\ell^- $ in the universal extra dimension

TL;DR

This paper systematically analyzes the decay process $B_s o f_0 \, ext{leptons}$ within the Standard Model and universal extra dimension models, highlighting potential deviations and experimental observability at LHCb.

Contribution

It provides a detailed calculation of decay observables using light-cone QCD sum rules, incorporating next-to-leading order corrections, and explores the sensitivity to extra dimension parameters.

Findings

Differential branching ratio varies with extra dimension size.

Double lepton polarization asymmetries are sensitive to extra dimensions.

Decay mode could be observed at LHCb in the near future.

Abstract

Using form factors enrolled to the transition matrix elements and calculated via light-cone QCD sum rules including next-to-leading order corrections in the strong coupling constant, we provide a systematic analysis of the $ B_s\rightarrow f_0 (980)\ell^+\ell^- $ both in the standard and universal extra dimension models. In particular, we discuss sensitivity of the differential branching ratio and various double lepton polarization asymmetries on the compactification factor of extra dimension and show how the results of the extra dimension model deviate from the standard model predictions. The order of branching ratio makes this decay mode possible to be checked at LHCb in near future.