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High Energy Physics - Theory

arXiv:1602.06419 (hep-th)
[Submitted on 20 Feb 2016 (v1), last revised 25 Apr 2016 (this version, v2)]

Title:Evaluation of the CHY Gauge Amplitude

Authors:C.S. Lam, York-Peng Yao
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Abstract:The Cachazo-He-Yuan (CHY) formula for $n$-gluon scattering is known to give the same amplitude as the one obtained from Feynman diagrams, though the former contains neither vertices nor propagators explicitly. The equivalence was shown by indirect means, not by a direct evaluation of the $(n\! - \!3)$-dimensional integral in the CHY formula. The purpose of this paper is to discuss how such a direct evaluation can be carried out. There are two basic difficulties in the calculation: how to handle the large number of terms in the reduced Pfaffian, and how to carry out the integrations in the presence of a $\sigma$-dependence much more complicated than the Parke-Taylor form found in a CHY double-color scalar amplitude. We have solved both of these problems, and have formulated a method that can be applied to any $n$. Many examples are provided to illustrate these calculations.
Comments: Version to appear in Physical Review D
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1602.06419 [hep-th]
  (or arXiv:1602.06419v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1602.06419
Journal reference: Phys. Rev. D 93, 105008 (2016)
Related DOI: https://doi.org/10.1103/PhysRevD.93.105008

Submission history

From: Chi-Sing Lam [view email]
[v1] Sat, 20 Feb 2016 15:31:26 UTC (80 KB)
[v2] Mon, 25 Apr 2016 16:39:26 UTC (80 KB)
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