ar X iv : h ep - p h / 97 10 22 2 v 1 2 O ct 1 99 7 TOWARDS AUTOMATIC ANALYTIC EVALUATION OF DIAGRAMS WITH MASSES

ar X iv : h ep - p h / 97 10 22 9 v 1 2 O ct 1 99 7 SLAC - PUB - 7663 October 1997 Z ′ INVESTIGATIONS AT FUTURE LEPTON

ar X iv : h ep - p h / 97 02 24 5 v 2 1 7 O ct 1 99 7 The Static Potential in QCD – a full Two - Loop Calculation ∗

A full analytic calculation of the two-loop diagrams contributing to the static potential in QCD is presented in detail. Using a renormalization group improvement, the “three-loop” potential in momentum space is thus derived and the third coefficient of the β-function for the V -scheme is given. The Fourier transformation to position space is then performed, and the result is briefly discussed.

ar X iv : h ep - p h / 99 10 22 7 v 1 4 O ct 1 99 9 Loop Calculations

Three programs are presented for automatically generating and calculating Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the LoopTools package. The calculations are performed analytically as far as possible, with results given in a form well suited for numerical evaluation. The latter is then straightfo...

ar X iv : h ep - p h / 97 10 24 9 v 1 6 O ct 1 99 7 HADRONIC PHYSICS FROM THE LATTICE

ar X iv : h ep - p h / 03 10 33 2 v 1 2 9 O ct 2 00 3 DIFFERENTIAL EQUATIONS for the 2 - LOOP EQUAL

The differential equations for the 2-loop sunrise graph, at equal masses but arbitrary momentum transfer, are used for the analytic evaluation of the coefficients of its Laurent-expansion in the continuous dimension d.