Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity

Dec 11, 2017
15 pages
Published in:
  • Phys.Rev.D 97 (2018) 11, 116014
  • Published: Jun 20, 2018
e-Print:
Report number:
  • FR-PHENO-2017-025,
  • UCLA-17-TEP-108

Citations per year

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Abstract: (arXiv)
We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field arithmetics. Employing a new method for the generation of unitarity-compatible integration-by-parts identities, all helicity amplitudes are reduced to a linear combination of master integrals for the first time. The approach allows us to compute exact values for the integral coefficients at rational phase-space points. All required master integrals are known analytically, and we obtain arbitrary-precision values for the amplitudes.
Note:
  • Additional references and text improvements
  • loop integral
  • higher-order
  • helicity: amplitude analysis
  • master integral
  • phase space
  • mathematical methods
  • unitarity
  • numerical calculations