The toolbox of modern multi-loop calculations: novel analytic and semi-analytic techniques

Details The toolbox of modern multi-loop calculations: novel analytic and semi-analytic techniques The toolbox of modern multi-loop calculations: novel analytic and semi-analytic techniques

2011-11-03

arxiv.org/abs/1111.0868v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk given at ACAT 2011 conference in London, 5-9 September

Scientific paper

We describe three algorithms for computer-aided symbolic multi-loop calculations that facilitated some recent novel results. First, we discuss an algorithm to derive the canonical form of an arbitrary Feynman integral in order to facilitate their identification. Second, we present a practical solution to the problem of multi-loop analytical tensor reduction. Finally, we discuss the partial fractioning of polynomials with external linear relations between the variables. All algorithms have been tested and used in real calculations.

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