paper

Chinese Magic in Loop Integrals

arXiv:1101.5981 · doi:10.1103/PhysRevD.83.113014

Abstract

We present an approach to higher point loop integrals using Chinese magic in the virtual loop integration variable. We show, using the five point function in the important e^+e^-\to f\bar{f}+γprocess for ISR as a pedagogical vehicle, that we get an expression for it directly reduced to one scalar 5-point function and 4-, 3-, and 2- point integrals, thereby avoiding the computation of the usual three tensor 5-pt Passarino-Veltman reduction. We argue that this offers potential for greater numerical stability.

11 pages, 1 figure; improved figure, improved text and references;added CERN report number;extended text; corrected misprint; extended text, improved figure; improved text, fonts and style; extended text for publication in Phys. Rev. D (title changed in journal)

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