2010/01/31 by Jae Yong Lee
Physics and Astronomy · #Black Holes and Theoretical Physics #Dark Matter and Cosmic Phenomena #Gauge symmetry #Gauge theory #Gaugino #Mathematical physics #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Renormalization #Sigma #Sigma model #Superfield #Supersymmetric gauge theory #Supersymmetry #hep-ph
paper · pdf · doi:10.1007/jhep10(2010)041
published as JHEP 1010:041,2010 · 25 pages, 12 figures
arxiv created 2010/07/15 · openalex publication_date 2010/10/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revisit General Gauge Mediation (GGM) in light of the supersymmetric (linear) sigma model by utilizing the current superfield. The current superfield in the GGM is identified with supersymmetric extension of the vector symmetry current of the sigma model while spontaneous breakdown of supersymmetry in the GGM corresponds to soft breakdown of the axial vector symmetry of the sigma model. We first derive the current superfield from the supersymmetric linear sigma model and then compute 2-point functions of the current superfield using the (anti-)commutation relations of the messenger component fields. After the global symmetry are weakly gauged, the 2-point functions of the current superfield are identified with a part of the 2-point functions of the associated vector superfield. We renormalize them by dimensional regularization and show that physical gaugino and sfermion masses of the MSSM are expressed in terms of the wavefunction renormalization constants of the component fields of the vector superfield.