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The CP-violating asymmetries in the exclusive decay B->K^*l^+l^- (l=e,mu,tau)are predicted to be exceedingly small in the standard model (SM), therebyoffering an opportunity to assess various new-physics scenarios. We derivequantitative predictions for various integrated observables in B->K^*mu^+mu^-decay in the presence of physics beyond the SM with additional CP phases and anextended operator basis. In particular, a model-independent analysis of CPasymmetries that require the presence of unitarity phases, in addition to CPviolation, is performed. We find that in the low dimuon invariant mass region2m_mu<M_{mu^+mu^-}<M_{J/psi}, the CP asymmetries are highly suppressed by smalldynamical phases, assuming that new physics is unlikely to significantly alterthe Wilson coefficients of the operators governing two-body hadronic B decays.Taking into account current experimental data on the measured b->s gamma rateand the upper limit on BR(B^0->K^{*0}mu^+mu^-), CP-violating effects of a fewper cent are estimated, even in the presence of new physics with CP phases ofO(1). By contrast, in the high dimuon invariant mass regionM_{psi'}<M_{mu^+mu^-}<(M_B-M_{K^*}) significant CP-violating effects arepossible. Given a branching ratio of 1.8 x 10^{-6}, the CP asymmetries can bequite substantial (\sim 20% or more), and thus may serve as a means ofdiscovering physics transcending the SM.Comment: 22 pages, REVTeX, 8 figures; reference adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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