Gauge-independent M S ¯ $$ \overline{\mathrm{MS}} $$ renormalization in the 2HDM

Ansgar Denner, Laura Jenniches, Jean-Nicolas Lang, Christian Sturm
2016 Journal of High Energy Physics  
We present a consistent renormalization scheme for the CP-conserving Two-Higgs-Doublet Model based on MS renormalization of the mixing angles and the soft-Z_2-symmetry-breaking scale M_sb 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
more » ... eneral R_ξ-gauge. The procedure is straightforward and applicable to other models with extended Higgs sectors. In contrast to the proposed scheme, the MS 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.
doi:10.1007/jhep09(2016)115 fatcat:qlydr3xrrrgjxcfvytenvxi3l4