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DOE OSTI2011

QCD factorization for {Lambda}{sub b}{sup 0}{yields}{Lambda}{sub c}{sup +}{pi}{sup -}

We prove that in the limit m{sub b},m{sub c}{yields}{infinity}, with m{sub c}/m{sub b} fixed, factorization holds at order {alpha}{sub s} for the decay {Lambda}{sub b}{sup 0}{yields}{Lambda}{sub c}{sup +}{pi}{sup -}. This proof is done in the infinite-momentum frame in which the momenta of {pi}, {Lambda}{sub c}, and {Lambda}{sub b} go to infinity. Our result is renormalization-scale- and scheme-independent at O({alpha}{sub s}). This is the same as the QCD factorization for B{yields}D{pi}.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

DOE OSTI2011

Direct CP violation for B{sub s}{sup 0}{yields}K{sup 0}{pi}{sup +}{pi}{sup -} decay in QCD factorization

In the framework of QCD factorization, based on the first order of isospin violation, we study direct CP violation in the decay of B{sub s}{sup 0}{yields}K{sup 0}{rho}{sup 0}({omega}){yields}K{sup 0}{pi}{sup +}{pi}{sup -}, including the effect of {rho}-{omega} mixing. We find that the CP violating asymmetry is large via the {rho}-{omega} mixing mechanism when the invariant mass of the {pi}{sup +}{pi}{sup -} pair is in the vicinity of the {omega} resonance. For the decay of B{sub s}{sup 0}{yields}K{sup 0}{rho}{sup 0}({omega}){yields}K{sup 0}{pi}{sup +}{pi}{sup -}, the maximum CP violating asymmetries can reach about 46%. We also discuss the possibility to observe the predicted CP violating asymmetries at the LHC.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗