Analysis of the rare semileptonic decays of ${B}_{s}$ to ${f}_{0}(980)$ and ${K}_{0}^{*}(1430)$ scalar mesons in QCD sum rules

Analysis of the rare semileptonic decays of $B_{s}$ to $f_{0} (980)$ and $K_{0}^{*} (1430)$ scalar mesons in QCD sum rules

N. Ghahramany and R. Khosravi

Phys. Rev. D 80, 016009 – Published 29 July 2009

Abstract

We investigate the rare semileptonic decays $B_{s} \to [f_{0} (980), K_{0}^{*} (1430)] l^{+} l^{-}$ , ( $l = e$ , $μ$ , $τ$ ), and $B_{s} \to [f_{0} (980), K_{0}^{*} (1430)] ν \bar{ν}$ in the framework of the three-point QCD sum rules. These decays are important to study because the $f_{0} (980)$ and $K_{0}^{*} (1430)$ are the scalar mesons with total spin 0 and even parity and the quark content of them are still controversial in high energy physics. These rare decays occur at loop level by electroweak penguin and weak box diagrams in the standard model via the flavor changing neutral current transitions of $b \to d$ , $s$ , and not allowed by tree level. Considering the effective contributions of the nonperturbative parts of the correlation function, we calculate the relevant form factors of these transitions. The branching fractions and longitudinal lepton polarization asymmetry are also investigated.