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Analytical result for dimensionally regularized massive on-shell planar double box

2001/11/13 by V. A. Smirnov, Vladimir A. Smirnov · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/s0370-2693(01)01382-x

published as Phys.Lett.B524:129-136,2002 · 10 pages, LaTeX with axodraw.sty

arxiv created 2001/11/13 · openalex publication_date 2002/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The dimensionally regularized master planar double box Feynman diagram with four massive and three massless lines, powers of propagators equal to one, all four legs on the mass shell, i.e., with p i 2=m 2, i=1,2,3,4, is analytically evaluated for general values of m 2 and the Mandelstam variables s and t. An explicit result is expressed in terms of polylogarithms, up to the third order, depending on special combinations of m 2,s and t.

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