Non-planar double-box, massive and massless pentabox Feynman integrals in the negative-dimensional approach

2001/10/04 by Alfredo Takashi Suzuki, Alfredo T. Suzuki, Alexandre G. M. Schmidt +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/0305-4470/35/1/312

published as J.Phys.A35:151-164,2002 · Latex, 12 pages, 2 figures, uses axodraw (included)

arxiv created 2001/10/04 · openalex publication_date 2001/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The negative-dimensional integration method is a technique which can be applied, with success, in usual covariant gauge calculations. We consider three two-loop diagrams: the scalar massless non-planar double-box with six propagators and the scalar pentabox in two cases, where six virtual particles have the same mass, and in the case all of them are massless. Our results are given in terms of hypergeometric functions of Mandelstam variables and also for arbitrary exponents of propagators and dimension D .

Citations

• First results for the Coulomb gauge integrals using NDIM
• Differential Equations for Two-Loop Four-Point Functions

Cited by

• Feynman diagrams and a combination of the integration by parts and the integration by fractional expansion techniques