Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach

Abstract

In this work, we study the branching ratios of B^{0}_{s}\rightarrow a_{0}(980)[ \rightarrow K\overline{K}, πη]a_{0}(980), B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow π^{+}π^{-}, K^{+}K^{-}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow π^{+}π^{-}]f_{0}(500) decays in the pQCD approach, in which the scalar mesons a_{0}(980), f_{0}(980) and f_{0}(500) are regarded as the lowest-lying q\overline{q} state. In the SU(3) nonet, there exists a mixing between the scalars f_{0}(980) and f_{0}(500), so we have considered the mixing effect in our calculations to obtain more reliable data, and the mixing angle θis set at [15^{\circ}, 82^{\circ}] and [105^{\circ}, 171^{\circ}]. Based on the isospin symmetry, we also estimate the branching ratios of the B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow π^{0}π^{0}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow π^{0}π^{0}]f_{0}(500) decays. The branching ratios of the B^{0}_{s}\rightarrow a_{0}(980)[ \rightarrow K\overline{K}, πη]a_{0}(980) decays are much small, while the results of the B^{0}_{s} \rightarrow f_{0}(980)[ \rightarrow ππ, K\overline{K}]f_{0}(980) and B^{0}_{s} \rightarrow f_{0}(500)[ \rightarrow ππ]f_{0}(500) decays are at the order of 10^{-6}\sim10^{-5}, which can be tested in the LHCb and Belle II experiments, hopefully.

19 pages, 4 figures

References in corpus (14)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Analysis of the resonant components in B0->J/ψpi+pi-
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Charmless B decays to a scalar meson and a vector meson
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• Four-body decays $B_{(s)}\to (K\pi {)}_{S/P}(K\pi {)}_{S/P}$ in the perturbative QCD approach
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Study of $B_{(s)}\to (\pi \pi )(K\pi )$ decays in the perturbative QCD approach
• Probing isovector scalar mesons in the charmless three-body $B$ decays
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• Quasi-two-body $B_{(s)}\to V\pi \pi$ Decays with Resonance $f_0(980)$ in PQCD Approach
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Study the contributions of S, P, and D-wave resonances to the quasi-two-body decays $B_s^0\to \psi (3686,3770)K\pi$ in perturbative QCD approach

Cited by in corpus (3)

• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Study of quasi-two-body B^{0}\rightarrow T(ππ, K\bar{K},πη) decays in perturbative QCD approach
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays