2013/05/31 by Marcus Sperling, Dominik Stöckinger, Alexander Voigt · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complement (music) #Computation #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Higgs boson #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Renormalization #Scalar (mathematics) #Supersymmetric gauge theory #Theoretical physics #Vacuum expectation value #hep-ph
paper · pdf · doi:10.1007/jhep07(2013)132
published as JHEP 1307 (2013) 132 · 16 pages, 2 figures, v2 added definition of ghost, auxiliary, and exotic colored E6SSM fields, v2 accepted for publication in JHEP, v3 corrected missing factor 2 in beta(vu) and beta(vd) in the E6SSM
openalex publication_date 2013/07/01 · arxiv created 2013/10/08 · arxiv updated 2013/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute one-loop and two-loop beta-functions for vacuum expectation values (VEVs) in gauge theories. In Rxi gauge the VEVs renormalize differently from the respective scalar fields. We focus particularly on the origin and behavior of this difference and show that it can be interpreted as the anomalous dimension of a certain scalar background field, leading to simple direct computation and qualitative understanding. The results are given for generic as well as supersymmetric gauge theories. These complement the set of well-known gamma- and beta-functions of Machacek/Vaughn. As an application, we compute the beta-functions for VEVs and tan(beta) in the MSSM, NMSSM and E6SSM.