Large Beyond-Leading-Order Effects in b -> s gamma in Supersymmetry with General Flavor Mixing

Abstract

We examine squark--gluino loop effects on the process $b\to s\gamma$ in minimal supersymmetry with general flavor mixing in the squark sector. In the regime of heavy squarks and gluino, we derive analytic expressions for the beyond--LO corrections to the Wilson coefficients and find them to be often large, especially at large $\tan \beta$ and $\mu >0$. The ensuing ranges of values of the Wilson coefficients are typically smaller than in the LO approximation, and sometimes even change sign. This has the effect of often reducing, relative to the LO, the magnitude of supersymmetric contributions to $BR(B\to X_s\gamma )$. This ``focusing effect'' is caused by contributions from: (i) an RG evolution of the Wilson coefficients; (ii) a correction to the LO chargino contribution to the Wilson coefficients, which can considerably reduce the LO gluino contribution. This partial cancellation of the two contributions takes place only in the case of general flavor mixing. As a result, stringent lower bounds on the mass scale of superpartners, which apply in the case of minimal flavor violation, can be substantially reduced for even small departures from the scenario. The often disfavored case of $\mu <0$ can also become allowed for $M_{SUSY}$ as small as $\sim$ 200 GeV, compared to > $\sim$ 500 GeV at LO and over 2 TeV in the case of minimal flavor violation. Limits on the allowed amount of flavor mixing among the 2nd and 3rd generation down--type squarks are also typically considerably weakened. The input CKM matrix element $K_{cb}^{(0)}$ can be larger than the experimental value by a factor of ten, or can be as small as zero.

arXiv comment46 page, 36 figures. v2: some clarifications and Ref.[5] added. Version to appear in JHEP

References in corpus (41)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Minimal Flavour Violation: an effective field theory approach
• A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model
• Precision Corrections in the Minimal Supersymmetric Standard Model
• The Top Quark Mass in Supersymmetric SO(10) Unification
• Effective lagrangian for the tbH^+ interaction in the MSSM and charged Higgs phenomenology
• Weak Radiative B-Meson Decay Beyond Leading Logarithms
• Branching Fraction and Photon Energy Spectrum b -> s gamma
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Higgs-Mediated $B^0->{\mu }^{+}{\mu }^{-}$ in Minimal Supersymmetry
• Quark mass effects in B -> Xs gamma
• Next-to-Leading QCD Corrections to B -> X_s gamma: Standard Model and Two-Higgs Doublet Model
• B -> X_s gamma in supersymmetry: large contributions beyond the leading order
• The Supersymmetric Particle Spectrum
• b -> s γand supersymmetry with large tanβ
• 2HDMs predictions for $B\to X_s\gamma$ in NLO QCD
• A Measurement of the Branching Fraction for the Inclusive B --> X(s) gamma Decays with the Belle Detector
• Next-to-Leading QCD Corrections to B\to X_s γin Supersymmetry
• Two-loop mixing of dimension-five flavor-changing operators
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• Finite Supersymmetric Threshold Corrections to CKM Matrix Elements in the Large $tan\beta$ Regime
• Gluino Contribution to Radiative B Decays: Organization of QCD Corrections and Leading Order Results
• Present Status of Inclusive Rare B Decays
• Novel Approach to Confront Electroweak Data and Theory
• Stability Bounds on Flavor-Violating Trilinear Soft Terms in the MSSM
• Predictions for Higgs and SUSY spectra from SO(10) Yukawa Unification with mu > 0
• Yukawa Unification in SO(10)
• b -> s Transitions: A New Frontier for Indirect SUSY Searches
• Large tan beta in Gauge-Mediated SUSY-Breaking Models
• Completing the NLO QCD calculation of B -> Xs gamma
• Bounds on flavour violating parameters in supersymmetry
• Matching Conditions for $b\to s\gamma$ and $b\to sgluon$ in Extensions of the Standard Model
• Two-loop QCD corrections to charged-Higgs-mediated $b\to s\gamma$ decay
• Supersymmetric corrections to $ε^\prime /εat the leading order in QCD and QED
• Alternative approach to $b->s\gamma$ in the uMSSM
• Constraints on the Minimal Supergravity Model from Non-standard Vacua
• Weakened Constraints from $b\to s\gamma$ on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections
• $b\to s\gamma$ with Large tan$\beta$ in MSSM Analysis Constrained by a Realistic SO(10) Model
• Determination of the Branching Fraction for Inclusive Decays B -> X_{s} gamma
• Relic Abundance of Neutralinos in Heterotic String Theory: Weak Coupling vs. Strong Coupling
• B -> X_s gamma after completion of the NLO QCD calculations

Cited by in corpus (29)

• Particle Dark Matter: Evidence, Candidates and Constraints
• A Markov Chain Monte Carlo Analysis of the CMSSM
• The impact of priors and observables on parameter inferences in the Constrained MSSM
• Gravitino Dark Matter in the CMSSM and Implications for Leptogenesis and the LHC
• B, D and K decays
• Implications for the Constrained MSSM from a new prediction for b to s gamma
• The Supersymmetric Origin of Matter
• Dark Matter And $B_s\to {\mu }^{+}{\mu }^{-}$ With Minimal $S{O}_{10}$ Soft SUSY Breaking
• Probing the Flavour Structure of Supersymmetry Breaking With Rare B-Processes - A Beyond Leading Order Analysis
• New Constraints on SUSY Flavour Mixing in Light of Recent Measurements at the Tevatron
• Particle Dark Matter - A Theorist's Perspective
• New Higgs Effects in B--Physics in Supersymmetry with General Flavour Mixing
• Weakened Constraints from $b\to s\gamma$ on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections
• Dark Matter And $B_s\to {\mu }^{+}{\mu }^{-}$ With Minimal $S{O}_{10}$ Soft SUSY Breaking II
• A Solution for Little Hierarchy Problem and b --> s gamma
• Prospects for dark matter detection with IceCube in the context of the CMSSM
• Higgs Boson masses and B-Physics Constraints in Non-Minimal Flavor Violating SUSY scenarios
• Current and Future Limits on General Flavour Violation in b-->s Transitions in Minimal Supersymmetry
• Implications of the measurements of B_s - B_s bar mixing on SUSY models
• b\to sν\barν decay in the MSSM: Implication of b\to sγat large tan beta
• Complete next-to-leading order gluino contributions to b--> s gamma and b--> s g
• Impact of the Bounds on the Direct Search for Neutralino Dark Matter on Naturalness
• Radiative B decays in Supersymmetry without R-parity
• Muon g-2 through a flavor structure on soft SUSY terms
• Some Novel Contributions to Radiative B Decay in Supersymmetry without R-parity
• Modular Invariant Soft Breaking, WMAP, Dark Matter and Sparticle Mass Limits
• Lepton flavor violation in an extended MSSM
• Upper limits on sparticle masses from WMAP dark matter constraints with modular invariant soft breaking
• Testing SUGRA Models