The Leading Power Regge Asymptotic Behaviour of Dimensionally Regularized Massless On-Shell Planar Triple Box

Abstract

The leading power asymptotic behaviour of the dimensionally regularized massless on-shell planar triple box diagram in the Regge limit t/s -> 0 is analytically evaluated.

9 pages, LaTeX with axodraw.sty

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• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Two-loop QCD corrections to gluon-gluon scattering
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• Two-Loop Amplitudes for Gluon Fusion into Two Photons
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• Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell

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• Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Multi-loop Feynman integrals and conformal quantum mechanics
• Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy
• Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
• A numerical method for NNLO calculations
• Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box
• Duality between Wilson loops and gluon amplitudes
• The two-loop vector form factor in the Sudakov limit
• Evaluating multiloop Feynman integrals by Mellin-Barnes representation
• Evaluating Two-Loop massive Operator Matrix Elements with Mellin-Barnes Integrals
• General massive one-loop off-shell three-point functions
• Some recent results on evaluating Feynman integrals
• New proofs for the two Barnes lemmas and an additional lemma