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Unitarity-Cuts, Stokes' Theorem and Berry's Phase

2010/01/18 by Pierpaolo Mastrolia, Mastrolia, Pierpaolo
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1001.3156

presented at RADCOR 2009 - 9th International Symposium on Radiative Corrections, October 25 - 30 2009, Ascona, Switzerland

arxiv created 2010/01/18 · arxiv updated 2010/02/26

Abstract

Two-particle unitarity-cuts of scattering amplitudes can be efficiently computed by applying Stokes' Theorem, in the fashion of the Generalised Cauchy Theorem. Consequently, the Optical Theorem can be related to the Berry Phase, showing how the imaginary part of arbitrary one-loop Feynman amplitudes can be interpreted as the flux of a complex 2-form.

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