HadronicBdecays: Supersymmetric enhancement and a simple spectator model

Abstract

Two aspects of hadronic B decays are investigated. First, the supersymmetric enhancement of hadronic b decays $\stackrel{\ensuremath{\rightarrow}}{b}q\stackrel{\ensuremath{\rightarrow}}{g}{\mathrm{qq}}^{\ensuremath{'}}{q}^{\ensuremath{'}},$ $q\ensuremath{\in}{d,s},$ by gluino penguin processes is studied through their effect on the Wilson coefficients of the effective Hamiltonian. The gluino penguin process is dominated by the magnetic dipole transition which is strongly magnified relative to the electric monopole driven standard model gluon penguin process by the renormalization-induced QCD corrections, resulting in quark decay rates for pure penguin processes which, at scales ${O(m}_{b}),$ can exceed the standard model rates. The $\mathrm{CP}$ asymmetries are, however, relatively unaffected. Second, hadronization of the final state quarks is studied through a simple phase space spectator model. We consider two extreme models for color flow during meson formation: one in which color flow is ignored and one of color suppression in which low mass meson formation occurs only for color singlet quark-antiquark pairs. We find that processes in which the spectator antiquark ${q}_{s}$ combines with ${q}^{\ensuremath{'}}$ are relatively insensitive to the color flow model whereas processes in which ${q}_{s}$ combines with q are very sensitive to color suppression.