Contribution of vector resonances to the (B)over-bard0 → (K)over-bar*0μ+μ- decay

The fully differential angular distribution for the rare flavor-changing neutral current decay (B) over bar (0)(d) -> (K) over bar*(0)(-> K-pi(+))mu(+)mu(-) is studied. The emphasis is placed on accurate treatment of the contribution from the processes (B) over bar (0)(d) -> (K) over bar*(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 (K) over bar*(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.