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We study both the branching ratio for $b \to s \gamma$ decay and the muonanomalous magnetic moment, $a_{\mu} \equiv (g-2)_{\mu} /2$, in the minimalsupersymmetric standard model with gauge-mediated supersymmetry breaking.Combining new experimental data on $a_{\mu}$ and the branching ratio for $b \tos \gamma$, useful limits on the parameter space of these models are derived. Inparticular, we explicitly show that, with the presently available experimentaldata, constraints from the decay $b \to s \gamma$ are more stringent than thosefrom $a_{\mu}$ in broad region of the parameter space. We include thesupersymmetric one-loop correction to the mass of $b$ quark, $m_b$, and findthat in order to have a correct value of $m_b$, the region of large tan$\beta$and $\mu <0$ (in our convention) is not allowed in these models (if there areno further assumptions like $b - \tau$ Yukawa coupling unification). The regionof large tan$\beta$ and $\mu >0$ is also strongly constrained. We presentbounds on supersymmetric particle masses as a function of $\tan \beta$.Comment: 14 pages, 8 figures, LaTex; version appearing in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Combined study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>s</mml:mi><mml:mi>γ</mml:mi></mml:math>and the muon anomalous magnetic moment in gauge-mediated supersymmetry breaking models

Combined study ofb→sγand the muon anomalous magnetic moment in gauge-mediated supersymmetry breaking models