The evaluation of loop amplitudes via differential equations

Details The evaluation of loop amplitudes via differential equations The evaluation of loop amplitudes via differential equations

2004-08-02

arxiv.org/abs/hep-ph/0408014v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex file, 16 pages, no figures, talk presented at IFAE (Incontri di Fisica delle Alte Energie), Torino 14-16 April 2004

Scientific paper

The evaluation of loop amplitudes via differential equations and harmonic polylogarithms is discussed at an introductory level. The method is based on evolution equations in the masses or in the external kinematical invariants and on a proper choice of the basis of the trascendental functions. The presentation is pedagogical and goes through specific one-loop and two-loop examples in order to illustrate the general elements and ideas.

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