Gauge dependence and renormalization of $\tan \beta$ in the MSSM

Abstract

Well-known and newly developed renormalization schemes for $\tan \beta$ are analyzed in view of three desirable properties: gauge independence, process independence, and numerical stability in perturbation theory. Arguments are provided that no scheme can meet all three requirements, and as an illustration, a ``No-Go-Theorem'' for the renormalization of $\tan \beta$ is established. Nevertheless, two particularly attractive schemes emerge. A discussion about which scheme might be the best compromise in practice is given.

20 pages, improved version that was published in PRD D66 (2002)

References in corpus (4)

• Renormalization of the Minimal Supersymmetric Standard Model
• Regularization and supersymmetry-restoring counterterms in supersymmetric QCD
• Two-loop renormalization of tan beta and its gauge dependence
• Electroweak Corrections to the Charged Higgs Boson Decay into Chargino and Neutralino

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