Sharpening The Leading Singularity

By F. Cachazo. 2008

141 citations recorded by the source corpus.

W e show how studying leading singularitiesofFeynm an diagram s,when allm om enta are com plex,givesa sim ple way ofwriting m ulti-loop and m ulti-particle scattering am plitudesin N = 4 superYang-M ills.Thesim plicity ofthem ethod isequivalenttothatofthequadruplecuttechnique introduced in hep-th/0412103 atone-loop. The new technique only involves the com putation of residuesand the solution oflinear equations. In our technique both parity even and parity odd

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dad11cefe39648f89a64a4654528e8dfb65f0642

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In Nuclear and High Energy Physics

1. N. Arkani-Hamed
2. S. Caron-Huot
3. J. Trnka
4. F. Cachazo
5. L. Alday
6. J. Bourjaily
7. R. Roiban
8. J. Henn

Citations in the corpus

• Local integrals for planar scattering amplitudes (2010, methodology): “When n = 5, the space of 1-loop integrands is just the space of bitwistors Y , which is six-dimensional—which explains how the complete 5-point 1-loop integrand could be constructed in [32] through the introduction of a single pentagon integrand.”
• Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills (2011, background): “The reasoning takes its roots in generalized unitarity, and is based on the idea (highly plausible, but for which there exists no general proof at the moment) that the coefficients of the transcendental functions should correspond to “leading singularities” of loop integrands, that is, by the loop i”
• Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, methodology): “An apparently alternative method for determining the four-dimensional cut-constructible part of scattering amplitudes was suggested in [79].”
• The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM (2010, methodology): “Complete integrands have been computed at twoloop order for 5-particles in [15] using D-dimensional unitarity and for 5- and 6-particles in [55,57] using the leading singularity technique developed in [57, 58].”
• Uniqueness of two-loop master contours (2012, unknown): “[ 42, 45, 46].”