Branching ratios for Bd,s->J/psi eta and Bd,s->eta l+l-, extracting gamma from Bd,s->J/psi eta, and possibilities for constraining C10A in semileptonic B decays

Abstract

Estimates of the branching ratios for Bd,s->J/psi eta and Bd,s->eta l+l- are obtained by SU(3) relation to Bd->J/psi K and Bd->K l+l-, respectively, as functions of the eta mixing parameter, thetaP. Based on these estimates, a discussion of the prospects for HERA-B, CDF-II, and ATLAS on these processes is given. The CP violation in Bd,s-> J/psi eta is analyzed in depth and a method to extract the angle gamma of the unitarity triangle is discussed. Finally, a possible method to constrain the Wilson coefficient C10A from measurements on semileptonic B decays such as Bd->J/psi K and Bs->eta l+l- is proposed along with a discussion of the prospects for future experiments and form factor calculations to reach the precision required for this method to be interesting.

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