Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-04
Acta Phys.Polon.B29:2655,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, LaTeX, uses appb2.sty, Presented at the DESY Zeuthen Workshop on Elementary Particle Theory "Loops and Legs in Gauge
Scientific paper
An algorithm for the reduction of massive Feynman integrals with any number of loops and external momenta to a minimal set of basic integrals is proposed. The method is based on the new algorithm for evaluating tensor integrals, representation of generalized recurrence relations for a given kind of integrals as a linear system of PDEs and the reduction of this system to a standard form using algorithms proposed by G. Reid. Basic integrals reveal as parametric derivatives of the system in the standard form and the number of basic integrals in the minimal set is determined by the dimension of the solution space of the system of PDEs.
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