Gauge dependence and renormalization of $\tanβ$ in the MSSM

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.66.095014

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.

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