Inclusive direct CP-asymmetries in charmless B^{+/-}-decays

Abstract

Direct CP-asymmetries in inclusive decay modes can be cleanly calculated by exploiting quark-hadron duality. This is in sharp contrast to CP-asymmetries in exclusive channels, where unknown strong phases prevent a clean extraction of CKM parameters from measured CP-asymmetries. We have calculated the inclusive CP-asymmetries in B^{+/-}-decays into charmless final states with strangeness one or strangeness zero. In our results large logarithms are properly summed to all orders. We find a_{CP} ( Delta S=0 ) = ( 2.0 +1.2 / -1.0) % and a_{CP} ( Delta S=1 ) = (-1.0 +/- 0.5 ) % . The constraints on the apex (rho-bar,eta-bar) of the unitarity triangle obtained from these two CP-asymmetries define circles in the (rho-bar,eta-bar)-plane. a_{CP} ( Delta S=0 ) measures sin(gamma) times |V_{cb}/V_{ub}|. The presented work has been done in collaboration with Gaby Ostermaier and Alexander Lenz.