Gluon and gluino penguins and the charmless decays of the b quark

Abstract

Gluon mediated exclusive hadronic decays of b quarks are studied within the standard model (SM) and the constrained minimally supersymmetric standard model (MSSM). For all allowed regions of the MSSM parameter space (A, tan beta, m_0, m_{1/2}) the penguin magnetic dipole form factor F^R_2 is dominant over the electric dipole and can be larger than the magnetic dipole form factor of the SM. However, overall the SM electric dipole decay amplitude F^L_1 dominates the decay rate. The MSSM penguin contributions to the free quark decay rate approach the 10% level for those regions of parameter space close to the highest allowed values of tan beta (~55) for which the gluino is light (m_{\tilde{g}} \approx 360 GeV) and lies within the range of the six d-squark masses. In these regions the supersymmetric box amplitudes are negligible. The MSSM phases change very little over the allowed parameter space and can lead to significant interference with the SM amplitudes.

30 Pages plain latex; includes 8 eps figures

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• Charmless hadronic decays $B\to PP,PV,VV$ and new physics effects in the general two-Higgs doublet models
• CP Asymmetries in B_s Decays and Spontaneous CP violation
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• Factorization and hadronic B decays in the heavy quark limit
• CP violation in beauty decays
• $B_d^0-{\bar{B}}_d^0$ mixing in the left-right supersymmetric model
• CP violation in the inclusive b -> s g decay in the framework of multi Higgs doublet models
• Worries and Hopes for SUSY in CKM Physics: The b to s Example