Contribution of vector resonances to the {\bar B}_d^0 -> {\bar K}^{*0} mu^+ mu^- decay

Abstract

The fully differential angular distribution for the rare flavor-changing neutral current decay \bar{B}_d^0 -> \bar{K}^{*0} (-> K- pi+) mu+ mu- is studied. The emphasis is placed on accurate treatment of the contribution from the processes \bar{B}_d^0 -> \bar{K}^{*0} (-> K- pi+) V with intermediate vector resonances V = rho(770), omega(782), phi(1020), J/psi, psi(2S), ... decaying into the mu+ mu- pair. The dilepton invariant-mass dependence of the branching ratio, longitudinal polarization fraction f_L of the \bar{K}^{*0} meson, and forward-backward asymmetry A_{FB} is calculated and compared with data from Belle, CDF and LHCb. It is shown that inclusion of the resonance contribution may considerably modify the branching ratio, calculated in the SM without resonances, even in the invariant-mass region far from the so-called charmonia cuts applied in the experimental analyses. This conclusion crucially depends on values of the unknown phases of the B^0 -> K^{*0} J/psi and B^0 -> K^{*0} psi(2S) decay amplitudes with zero helicity.

12 pages, 4 figures, SVJour3 style; introduction and discussion sections extended, references added; version accepted for publication in Eur. Phys. J. C. arXiv admin note: substantial text overlap with arXiv:1111.4093

References in corpus (9)

• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• Radiative and Electroweak Penguin Decays of B Mesons
• Penguins with Charm and Quark-Hadron Duality
• An improved observable for the forward-backward asymmetry in B -> K* l+ l- and Bs -> phi l+ l-
• e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons
• Contribution of low-lying vector resonances to polarization observables in \bar B_d^0 -> \bar K*0 e+ e- decay
• Isolating New Physics Effects from Hadronic Form Factor Uncertainties in B\to K^* \ell^+\ell^-

Cited by in corpus (1)

• Time dependence in $B\to V\ell \ell$ decays