$\bar{B}_s \to f_0(980)$ form factors and the width effect from light-cone sum rules

Shan Cheng; Jian-Ming Shen

doi:10.1140/epjc/s10052-020-8124-2

paper

$B ˉ_{s} \to f_{0} (980)$ form factors and the width effect from light-cone sum rules

arXiv:1907.08401 · doi:10.1140/epjc/s10052-020-8124-2

Abstract

In this paper we calculate the $B ˉ_{s} \to f_{0} (980)$ form factors from light-cone sum rules with $B$ meson DAs. With adopting the quark-antiquark configuration of light scalar mesons,the high twist two-particle and the three-particle contributions are found to be $\sim 25%$ individual, and totally they give about $50%$ correction to certain form factors in the considered energy regions. We further explore the light-cone sum rules approach to study the $S -$ wave $B ˉ_{s} \to K K$ form factors,the $f_{0} + f_{0}^{'} + f_{0}^{''}$ resonance model is proposed and the result shows that the background effect from $f_{0}^{'} + f_{0}^{''}$ accounts $\sim 5%$ . As a by-product, we extract the strong coupling $∣ g_{f_{0} K K} ∣ = 1.0 8_{- 0.14}^{+ 0.05}$ GeV with taking the $B ˉ_{s} \to f_{0} (980)$ form factors calculated previous under the narrow width approximation.

15 pages, 9 figures, 2 tables; accepted version for publication in the Eur.Phys.J.C

Bˉs​→f0​(980) form factors and the width effect from light-cone sum rules

Abstract

$B ˉ_{s} \to f_{0} (980)$ form factors and the width effect from light-cone sum rules