Analytical result for dimensionally regularized massless on-shell planar triple box

DOI10.1016/S0370-2693(03)00895-5zbMath1052.81570arXivhep-ph/0305142MaRDI QIDQ1397756

Vladimir A. Smirnov

Publication date: 3 August 2003

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0305142

zbMATH Keywords

Laurent expansionFeynman diagrammultiple Mellin-Barnes representation

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

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Uses Software

• FORM

Cites Work

• Unnamed Item
• Applied asymptotic expansions in momenta and masses
• The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box
• Analytical results for dimensionally regularized massless on-shell double boxes with arbitrary indices and numerators
• Analytical result for dimensionally regularized massless master non-planar double box with one-leg off shell
• Analytic continuation of massless two-loop four-point functions
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• An automatized algorithm to compute infrared divergent multi-loop integrals.
• Analytical result for dimensionally regularized massive on-shell planar double box