1996/06/04 by O. V. Tarasov, O.V. Tarasov · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1016/s0550-3213(96)00466-x
published as Nucl.Phys. B480 (1996) 397-412 · 16 pages, LaTeX, uses axodraw.sty
arxiv created 1996/06/04 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a new method for the momentum expansion of Feynman integrals with arbitrary masses and any number of loops and external momenta. By using the parametric representation we derive a generating function for the coefficients of the small momentum expansion of an arbitrary diagram. The method is applicable for the expansion w.r.t. all or a subset of external momenta. The coefficients of the expansion are obtained by applying a differential operator to a given integral with shifted value of the space-time dimension d and the expansion momenta set equal to zero. Integrals with changed d are evaluated by using the generalized recurrence relations proposed in \citeOVT1. We show how the method works for one- and two-loop integrals. It is also illustrated that our method is simpler and more efficient than others.