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:
- 1712.03946 [hep-ph]
Report number:
- FR-PHENO-2017-025,
- UCLA-17-TEP-108
View in:
Citations per year
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
References(68)
Figures(61)
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