1205.3683 (Alexander Yu. Korchin et al.)

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

Alexander Yu. Korchin, Vladimir A. Kovalchuk

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 standard model 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_d^0 -> K^{*0} V decay amplitudes with zero-helicity.

View original: http://arxiv.org/abs/1205.3683