Analytical Result for Dimensionally Regularized Massless On-shell Double Box

The dimensionally regularized massless on-shell double box Feynman diagram with powers of propagators equal to one is analytically evaluated for general values of the Mandelstam variables s and t. An explicit result is expressed either in terms of polylogarithms Li_a(-t/s), up to a=4, and generalized polylogarithms S_{a,b}(-t/s), with a=1,2 and b=2, or in terms of these functions depending on the inverse ratio, s/t.Comment: 8 pages, LaTeX. An error in eq. (24) corrected (8 replaced by 5), with resulting changes in eqs. (25), (28-30

FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

The goal of this paper is to present a new major release of the program FIESTA (Feynman Integral Evaluation by a Sector decomposiTion Approach). This version presents features like cluster-parallelization, new asymptotic expansion algorithms, calculations in physical regions, new sector-decomposition strategies, as well as multiple speed, memory, and stability improvements

Asymptotic Expansions of Feynman Diagrams on the Mass Shell in Momenta and Masses

Explicit formulae for asymptotic expansions of Feynman diagrams in typical limits of momenta and masses with external legs on the mass shell are presented.Comment: 10 pages, LaTeX, final version to appear in Phys.Lett.

Full result for the three-loop static quark potential

The three-loop corrections to the potential of two heavy quarks are computed. Analytic results for the most complicated master integrals are presented.Comment: To appear in the proceedings of 9th International Symposium on Radiative Corrections (RADCOR 2009): Applications of Quantum Field Theory to Phenomenology, Ascona, Switzerland, 25-30 Oct 200