Constraining Supergravity Scenarios through the $b\to s,\gamma$ Decay.

Abstract

We evaluate the branching ratio BR($b\to s,\gamma$) in the minimal supersymmetric standard model (MSSM), determining the corresponding phenomenological restrictions on two attractive supergravity scenarios, namely minimal supergravity and a class of models with a natural solution to the $\mu$ problem. We have included in the calculation some one--loop refinements that have a substantial impact on the results. The numerical results show some disagreements with part of the previous results in the literature, while they are in agreement with others. For minimal supergravity the CLEO upper and lower bounds put important restrictions on the scalar and gaugino masses in both cases $\mu <0$ and $\mu >0$. For the other supergravity scenarios the relevant CLEO bound is the upper one. It is stressed the fact that an eventual improvement of the experimental bounds of order $10^{-4}$ would strengthen the restrictions on the MSSM dramatically. This would be enough to discard these supergravity scenarios with $\mu <0$ if no discrepancy is found with the standard model prediction, while for $\mu >0$ there will remain low-energy windows.

13 pages + 8 figures included in a separate file, Latex, requires psfig.sty. We have corrected a mistake affecting some figures and their corresponding quotations in the text, as well as several misprints.

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• $K_L\to {\pi }^0{e}^{+}{e}^{-}$ and $B\to X_s{\ell }^{+}{\ell }^{-}$ Decay in the MSSM
• $b\to s\gamma$ Constraints on the Minimal Supergravity Model with Large $\tan \beta$
• About the fine-tuning price of LEP
• QCD Improved $b\to s\gamma$ Constraints on the Minimal Supergravity Model
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• Flavor changing neutral current processes in $B$ and $K$ decays in the supergravity model
• Higgs and Supersymmetric Particle Signals at the Infrared Fixed Point of the Top Quark Mass
• Problems for Supersymmetry Breaking by the Dilaton in Strings from Charge and Color Breaking
• Phenomenological constraints on SUSY SU(5) GUTs with non-universal gaugino masses
• Parity Violating Asymmetries in Top Pair Production at Hadron Colliders
• Constraints on Hidden Sector Gaugino Condensation
• Charged Higgs Mass Bounds from b -> s gamma in a Bilinear R-Parity Violating Model
• $B^0$--${\overline{B}}^0$ mixing and ${\epsilon }_K$ parameter in the minimal supergravity model
• The $b\to s\gamma \gamma$ transition in softly broken supersymmetry
• Yukawa Unification as a Window into the Soft Supersymmetry Breaking Lagrangian
• Gluon and gluino penguins and the charmless decays of the b quark
• Higgs Mass Bounds Separate Models of Electroweak Symmetry Breaking
• Updated: Higgs Mass Bounds Separate Models of Electroweak Symmetry Breaking
• R-Parity Violation and the Decay b to s gamma
• Flavour Violation in SUSY SU(5) GUT at Large tan beta
• Constraints on Supersymmetric Theories from $\mu \to e,\gamma$
• Phenomenological implications of moduli-dominant SUSY breaking
• From $b\to s\gamma$ to the LSP Detection Rates in Minimal String Unification Models
• Relaxing b\to sγConstraints on the Supersymmetric Particle Mass Spectrum
• Chargino Production at LEP2 in a Supergravity Model
• Electroweak symmetry breaking and s-spectrum in M-theory
• Low energy consequences from supersymmetric models with left-right symmetry