Estimate of the long-distance contribution through b --> s ψto the B_{s} --> γγdecay rate

Abstract

The B_{s} --> ϕψdecay is modeled through the inclusive b --> sψdecay. Using the Vector Meson Dominance model, the amplitude for the chain process B_{s} --> ϕψ--> ϕγ--> γγis estimated and it is found to be at most 4 % of the corresponding amplitude from the O_7 type LD contribution. The intermediate amplitude for the process B_{s} --> ϕγis compared with the corresponding one obtained by a different approach based on the interaction of the virtual charm quark loop with soft gluons \cite{Ruckl}. Both amplitudes are found to agree within 10 %. Further the influence on the branching ratio B(B_{s} --> γγ)_{SD+LD_{O7}} from inclusive b --> s ψis estimated as less than 1 %.

10 pages, 1 figure (require epsf.sty)

References in corpus (2)

• QCD estimate of the long-distance effect in $B\to K^{\ast }\gamma$
• Leading logarithmic QCD corrections to the B_s --> γγdecay rate including long-distance effects through B_s --> ϕγ--> γγ

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• Technicolor corrections on $B_{s,d}\to \gamma \gamma$ decays in QCD factorization
• New Physics effects on decay $B_s\to \gamma \gamma$ in Technicolor Model
• B_s ---> γγdecay in the model III and 3HDM(O_2) with CP violating effects
• Impact on the decay rate of $B_s\to {\mu }^{+}{\mu }^{-}$ from the dispersive two-photon transition