Two-loop renormalization of tan beta and its gauge dependence
Abstract
Renormalization of two-loop divergent corrections to the vacuum expectation values (v1, v2) of the two Higgs doublets in the minimal supersymmetric standard model, and their ratio tan beta=v2/v1, is discussed for general Rxi gauge fixings. When the renormalized (v1, v2) 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 Rxi 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.
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