Radiative B decays in Supersymmetry without R-parity

Abstract

We present a systematic analysis of all the contributions at the leading log order to the branching ratio of the inclusive radiative B decay, B --> X_s + gamma in the framework of supersymmetry without R-parity. The relevant set of four-quark operators involved in QCD running are extended from 6 (within SM and MSSM) to 24, with also many new contributions to the Wilson coefficients of (chromo)magnetic penguins for either chiral structure. We present complete analytical results here without any a priori assumptions on the form of R-parity violation. Mass eigenstate expressions are given, hence the results are free from the commonly adopted mass-insertion approximation. In the numerical analysis, we focus here only on the influence of the trilinear lambda-prime couplings and report on the possibility of a few orders of magnitude improvement for the bounds on a few combinations of the lambda-prime couplings. Our study shows that the Wilson coefficients of the current-current operators due to R-parity violation dominate over the direct contributions to the penguins. However, the inter-play of various contributions is complicated due to the QCD corrections which we elaborate here.

26 pages, 13 figures. A few typos corrected and a few references added. Contents and results unchanged

References in corpus (4)

• Minimal Flavour Violation: an effective field theory approach
• Present Status of Inclusive Rare B Decays
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Large Beyond-Leading-Order Effects in b -> s gamma in Supersymmetry with General Flavor Mixing

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• Quark Loop Contributions to Neutron, Deuteron, and Mercury EDMs from Supersymmetry without R parity
• Flavor Changing Higgs Decays in Supersymmetry with Minimal Flavor Violation
• Some Novel Contributions to Radiative B Decay in Supersymmetry without R-parity
• Leptonic Radiative Decay in Supersymmetry without R parity
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
• On measurement of photon polarization in radiative penguin $B$ decays to baryons