The FSI contribution to the observed $B_s$ decays into $K^{+}{K}^{-}$ and ${\pi }^{+}{K}^{-}$

Abstract

Because at the tree level $B_s\to K^{+}{K}^{-}$ is Cabibbo-triple suppressed, so its branching ratio should be smaller than that of $B_s\to {\pi }^{+}{K}^{-}$. The measurements present a reversed ratio as $R=\mathcal{B}(B_s\to {\pi }^{+}{K}^{-})/\mathcal{B}(B_s\to K^{+}{K}^{-})\sim 4.9/33$. Therefore, It has been suggested that the transition $B_s\to K^{+}{K}^{-}$ is dominated by the penguin mechanism, which is proportional to $V_{cb}{V}_{cs}^{\ast }$. In this work, we show that an extra contribution from the final state interaction (FSI) to $B_s\to K^{+}{K}^{-}$ via sequential processes $B_s\to D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}\to K^{+}{K}^{-}$ is also substantial and should be superposed on the penguin contribution. Indeed, taking into account of the FSI effects, the theoretical prediction on $R$ is well consistent with the data.

arXiv comment9 pages, 1 figures, 3 tables. Accepted by PRD

References in corpus (27)

• Weak Decays Beyond Leading Logarithms
• Phenomenology of Heavy Meson Chiral Lagrangians
• Final State Interactions in Hadronic B Decays
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Model for $J/\psi$ absorption in hadronic matter
• J/psi absorption by pi and rho mesons in a meson exchange model with anomalous parity interactions
• Two body B decays with isosinglet final states in SCET
• A Model of Charmonium Absorption by Light Mesons
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• Charmonium dissociation in hadronic matter
• Hadronic interactions of the J/psi
• A Constituent Quark-Meson Model for Heavy-Meson Processes
• Measurement of $b$-hadron branching fractions for two-body decays into charmless charged hadrons
• Study on contributions of hadronic loops to decays of $J/\psi \to$ vector $+$ pseudoscalar mesons
• Observation of Bs->K+K- and Measurements of Branching Fractions of Charmless Two-body Decays of B0 and Bs Mesons in p-pbar Collisions at sqrt(s)=1.96 TeV
• First evidence of direct CP violation in charmless two-body decays of Bs mesons
• J/psi couplings to charmed resonances and to pi
• Observation of New Charmless Decays of Bottom Hadrons
• Measurement of the Decay B_s^0 -> D_s^- pi^+ and Evidence for B_s^0 -> D_s^{+/-} K^{-/+} in e+e- Annihilation at sqrt(s)~10.87 GeV
• Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
• Observation of CP violation in B+ to DK+ decays
• Analysis of the $B_q\to D_q(D_q^{\ast })P$ and $B_q\to D_q(D_q^{\ast })V$ decays within the factorization approach in QCD
• Final State Interactions in $D^0\to K^0\overline{K^0}$
• $D\to \pi \pi$ decays with Final State Interactions
• Measurement of the Ratios of Branching Fractions B(Bs -> Ds pi pi pi) / B(Bd -> Dd pi pi pi) and B(Bs -> Ds pi) / B(Bd -> Dd pi)
• Effects of hadronic loops on the direct CP violation of $B_c$

Cited by in corpus (3)

• Is $Z_c(3900)$ a molecular state
• Study on decays of $Z_c(4020)$ and $Z_c(3900)$ into $h_c+\pi$
• A natural interpretation on the data of ${\Lambda }_c\to \Sigma \pi$