A magic connection between massive and massless diagrams

Abstract

A useful connection between two-loop massive vacuum integrals and one-loop off-shell triangle diagrams with massless internal particles is established for arbitrary values of the space-time dimension n.

11 pages, plain latex, 1 figure (in latex); ps file available by anonymous ftp at ftp://vsfys1.fi.uib.no/anonymous/pub/bergen95-07.ps

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• All-Purpose Numerical Evaluation of One-Loop Multi-Leg Feynman Diagrams
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• The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
• Evaluation of conformal integrals
• Threshold and pseudothreshold values of the sunset diagram
• Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings
• Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
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• Analytic results for the one-loop NMHV Hqqgg amplitude
• Evaluation of the general 3-loop vacuum Feynman integral
• Threshold expansion of the sunset diagram
• About higher order epsilon-expansion of some massive two- and three-loop master-integrals
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• A note on amplitudes in N=6 superconformal Chern-Simons theory
• LSJK - a C++ library for arbitrary-precision numeric evaluation of the generalized log-sine functions
• Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
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• Three-loop electroweak corrections to the W-boson mass and sin^2 theta_eff in the large Higgs mass limit
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• Conformal Symmetry and Composite Operators in the $O(N{)}^3$ Tensor Field Theory
• Yukawa Corrections to Higgs Production in Top Partner Models
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• Further results for the two-loop Lcc vertex in the Landau gauge
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• Derivation of Functional Equations for Feynman Integrals from Algebraic Relations
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• Two loop Kahler potential in beta-deformed N=4 SYM theory