Gauge-independent M S ¯ renormalization in the 2HDM

Abstract

We present a consistent renormalization scheme for the CP-conserving Two-Higgs-Doublet Model based on M S ¯ renormalization of the mixing angles and the soft-Z2-symmetry-breaking scale Msb in the Higgs sector. This scheme requires to treat tadpoles fully consistently in all steps of the calculation in order to provide gauge-independent S-matrix elements. We show how bare physical parameters have to be defined and verify the gauge independence of physical quantities by explicit calculations in a general Rξ-gauge. The procedure is straightforward and applicable to other models with extended Higgs sectors. In contrast to the proposed scheme, the M S ¯ renormalization of the mixing angles combined with popular on-shell renormalization schemes gives rise to gauge-dependent results already at the one-loop level. We present explicit results for electroweak NLO corrections to selected processes in the appropriately renormalized Two-Higgs-Doublet Model and in particular discuss their scale dependence.