Renormalization of vacuum expectation values in spontaneously broken gauge theories: Two-loop results

Abstract

We complete the two-loop calculation of β-functions for vacuum expectation values (VEVs) in gauge theories by the missing\mathcal{O}(g 4)-terms. The full two-loop results are presented for generic and supersymmetric theories up to two-loop level in arbitrary R ξ -gauge. The results are obtained by means of a scalar background field, identical to our previous analysis. As a by-product, the two-loop scalar anomalous dimension for generic supersymmetric theories is presented. As an application we compute the β-functions for VEVs and tan β in the MSSM, NMSSM, and E6SSM. © 2014 The Author(s).