Scalar resonance effects on the B_s - \bar B_s mixing angle

Abstract

The $B_s^0\to J/\psi \varphi$ and $B_s^0\to J/\psi f_0(980)$ decays are analyzed within generalized QCD factorization including all leading-order corrections in $\alphas$. We point out that the ratio of our calculated widths, $\Gamma (B_s^0\to J/\psi f_0(980),f_0(980)\to {\pi }^{+}{\pi }^{-})/\Gamma (B_s^0\to J/\psi \varphi ,\varphi \to K^{+}{K}^{-})$, strongly indicates that $S$-wave effects in the $f_0(980)$'s daughter pions or kaons cannot be ignored in the extraction of the $B_s-{\bar{B}}_s$ mixing angle, $-2{\beta }_s$, from the $B_s^0\to \varphi J/\psi$ decay amplitudes.

16 pages and 3 figures; revised version due to erroneous discussion of annihilation contribution which led to their over-estimation. Main conclusions are not altered, yet Fig. 2-3 changed; one additional table (Table IX) compares theoretical values to data for branching fractions, asymmetries as well as polarizations. New paragraph about f_0(980) decay constant on page 14. Accepted in PRD

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• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Measurement of the relative branching ratio of B^0_s to J/psi f_{0}(980) to B_{s}{0} to J/psi phi
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Mass spectrum and decay constants of radially excited vector mesons
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• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Studies of the resonance components in the $B_s$ decays into charmonia plus kaon pair
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• Recent Developments on the CKM Matrix
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• New physics in B_s^0 -> J/ψϕdecays?
• Bs0 Decays at Belle