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Two-loop renormalization of tan(beta) and its gauge dependence

Youichi Yamada
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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 $\tanβ=v_2/v_1$, is discussed for general R_ξ 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_ξ gauge fixing term generate gauge dependence of the renormalized $\tanβ$. Additional shifts of the Higgs fields are necessary to realize the gauge-independent renormalization of $\tanβ$.

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Youichi Yamada. 2002-10-24. Two-loop renormalization of tan(beta) and its gauge dependence. https://arxiv.org/abs/hep-ph/0210324

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