Two-loop renormalization of tan beta and its gauge dependence

Abstract

Renormalization of two-loop divergent corrections to the vacuum expectation values (v_1, v_2) of the two Higgs doublets in the minimal supersymmetric standard model, and their ratio tan beta=v_2/v_1, is discussed for general R_xi gauge fixings. When the renormalized (v_1, v_2) are defined to give the minimum of the loop-corrected effective potential, it is shown that, beyond the one-loop level, the dimensionful parameters in the R_xi gauge fixing term generate gauge dependence of the renormalized tan beta. Additional shifts of the Higgs fields are necessary to realize the gauge-independent renormalization of tan beta.

9 pages, 2 figures, references added

References in corpus (2)

• On the neutral Higgs boson masses in the MSSM for arbitrary stop mixing
• Gauge dependence of the on-shell renormalized mixing matrices

Cited by in corpus (14)

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• Resummation of tan-beta-enhanced supersymmetric loop corrections beyond the decoupling limit
• Automatised full one-loop renormalisation of the MSSM I: The Higgs sector, the issue of tan(beta) and gauge invariance
• The supersymmetric Higgs sector and B-Bbar mixing for large tan beta
• Gauge-independent $\overline{MS}$ renormalization in the 2HDM
• Determining $\tan \beta$ with Neutral and Charged Higgs Bosons at a Future $e^{+}{e}^{-}$ Linear Collider
• One-loop renormalisation of the NMSSM in SloopS 2: the Higgs sector
• Displacement Operator Formalism for Renormalization and Gauge Dependence to All Orders
• Fine-tuning in GGM and the 126 GeV Higgs particle
• Features of electroweak symmetry breaking in five dimensional SUSY models