Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes

2004/10/07 by Freddy Cachazo, Cachazo, Freddy · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Mathematical and Theoretical Analysis #Matrix Theory and Algorithms #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0410077

36 pages, minor corrections

arxiv created 2004/10/13 · arxiv updated 2009/12/01

Abstract

We show how the holomorphic anomaly found in hep-th/0409245 can be used to efficiently compute certain classes of unitarity cuts of one-loop N=4 amplitudes of gluons. These classes include all cuts of n-gluon one-loop MHV amplitudes and of n-gluon next-to-MHV amplitudes with helicities (1+,2+,3+,4-,..., n-). As an application of this method, we present the explicit computation of the (1,2,3)-cut of the n-gluon one-loop N=4 leading-color amplitude A_n;1(1+,2+,3+,4-,..., n-). The answer is given in terms of scalar box functions and provides information about the corresponding amplitudes. A possible way to generalize this method to all kinds of unitarity cuts is also discussed.

Citations

• Calculating Scattering Amplitudes Efficiently

Cited by

• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities

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