1993/10/27 by G. Weiglein, R. Scharf, M. Böhm · 4 citations
Physics and Astronomy · #Electroweak interaction #Feynman diagram #Gauge boson #Gauge symmetry #Gauge theory #Invariant (physics) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Scalar (mathematics) #Standard Model (mathematical formulation) #Tensor (intrinsic definition) #hep-ph
paper · pdf · doi:10.1016/0550-3213(94)90325-5
published as Nucl.Phys. B416 (1994) 606-644 · LaTex, 32 pages, (+ 7 figures available from the authors as ps-files), to appear in Nuclear Physics B
arxiv created 1993/10/27 · openalex publication_date 1994/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a method for reducing general two-loop self-energies to standard scalar integrals in massive gauge theories with special emphasis on the electroweak Standard Model. It includes the tensor integral reduction for all two-loop integrals appearing in self-energy calculations. The results are valid for arbitrary values of the invariant momentum p2, all particle masses, the space-time dimension D and the gauge parameters ξi (i = γ, Z, W). The algebraic structure of the results clearly displays the gauge dependence of the considered quantities and allows to perform very stringent checks. We explicitly verify Slavnov-Taylor identities by calculating several thousand Feynman-diagrams and adding them up algebraically. As an application we calculate the light fermion contributions to the two-loop gauge boson self-energies of the electroweak SM. We study their gauge dependence and discuss the occurring standard integrals.