2003/05/13 by V. A. Smirnov, Vladimir A. Smirnov · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Computer science #Dimensional regularization #Feynman diagram #Feynman integral #Geometry #Inverse #Laurent series #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Planar #Propagator #Pure mathematics #Regularization (linguistics) #Renormalization #hep-ph
paper · pdf · doi:10.1016/s0370-2693(03)00895-5
published as Phys.Lett. B567 (2003) 193-199 · 8 pages, LaTeX with axodraw.sty
arxiv created 2003/05/13 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The dimensionally regularized massless on-shell planar triple box Feynman diagram with powers of propagators equal to one is analytically evaluated for general values of the Mandelstam variables s and t in a Laurent expansion in the parameter ϵ=(4−d)/2 of dimensional regularization up to a finite part. An explicit result is expressed in terms of harmonic polylogarithms, with parameters 0 and 1, up to the sixth order. The evaluation is based on the method of Feynman parameters and multiple Mellin–Barnes representation. The same technique can be quite similarly applied to planar triple boxes with any numerators and integer powers of the propagators.