Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity

Abreu, Samuel; Febres Cordero, Fernando; Ita, Harald; Page, Ben; Zeng, Mao

doi:10.1103/PhysRevD.97.116014

Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity

Samuel Abreu
(
- Freiburg U.
)
,
Fernando Febres Cordero
(
- Freiburg U.
)
,
Harald Ita
(
- Freiburg U.
)
,
Ben Page
(
- Freiburg U.
)
,
Mao Zeng
(
- UCLA
)

Dec 11, 2017

15 pages

Published in:

Phys.Rev.D 97 (2018) 11, 116014

Published: Jun 20, 2018

e-Print:

1712.03946 [hep-ph]

DOI:

10.1103/PhysRevD.97.116014

Report number:

FR-PHENO-2017-025,
UCLA-17-TEP-108

View in:

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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

References(68)

Figures(61)

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