$B_s \to f_0(980)$ decays: Results from light-cone QCD Sum Rules

TL;DR

This paper calculates the transition form factors for $B_s$ decays to $f_0(980)$ using light-cone QCD sum rules, aiding predictions of rare decay branching ratios and $B_s$ mixing phase analysis.

Contribution

It provides a novel light-cone QCD sum rule calculation of $B_s o f_0(980)$ form factors, essential for predicting rare decay rates and studying $B_s$ mixing.

Findings

Calculated form factors for $B_s o f_0(980)$ decays.

Predicted branching ratios for rare $B_s$ decays.

Compared $B_s o J/ ho f_0$ with $B_s o J/ ho o ho$ for mixing phase analysis.

Abstract

We describe a light-cone QCD sum rule calculation of the $B_s\to f_0(980)$ transition form factors useful to predict the branching ratios of the rare decays $B_s \to f_0 \ell^+ \ell^-$, $B_s \to f_0 \nu \bar \nu$ and of $B_s\to J/\psi f_0$ decay assuming factorization. We compare this channel to $B_s \to J/\psi \phi$ as far as the possibility to determine the $B_s$ mixing phase is concerned.