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Title: Planar two-loop five-gluon amplitudes from numerical unitarity

Abstract

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.

Authors:
 [1];  [1];  [1];  [1];  [2]
  1. Univ. of Freiburg (Germany). Inst. of Physics
  2. Univ. of California, Los Angeles, CA (United States). Dept. of Physics and Astronomy. Mani L. Bhaumik Inst. for Theoretical Physics
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States); Univ. of Freiburg (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Alexander von Humboldt Foundation (Germany); German Federal Ministry of Education and Research (BMBF)
OSTI Identifier:
1455090
Alternate Identifier(s):
OSTI ID: 1498880
Grant/Contract Number:  
SC0009937
Resource Type:
Published Article
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Volume: 97; Journal Issue: 11; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; perturbative QCD; scattering amplitudes

Citation Formats

Abreu, S., Febres Cordero, F., Ita, H., Page, B., and Zeng, M. Planar two-loop five-gluon amplitudes from numerical unitarity. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.116014.
Abreu, S., Febres Cordero, F., Ita, H., Page, B., & Zeng, M. Planar two-loop five-gluon amplitudes from numerical unitarity. United States. https://doi.org/10.1103/physrevd.97.116014
Abreu, S., Febres Cordero, F., Ita, H., Page, B., and Zeng, M. Wed . "Planar two-loop five-gluon amplitudes from numerical unitarity". United States. https://doi.org/10.1103/physrevd.97.116014.
@article{osti_1455090,
title = {Planar two-loop five-gluon amplitudes from numerical unitarity},
author = {Abreu, S. and Febres Cordero, F. and Ita, H. and Page, B. and Zeng, M.},
abstractNote = {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.},
doi = {10.1103/physrevd.97.116014},
journal = {Physical Review. D.},
number = 11,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevd.97.116014

Citation Metrics:
Cited by: 75 works
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text, January 2004


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text, January 1994


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A novel approach to integration by parts reduction
journal, May 2015


Automatic Integral Reduction for Higher Order Perturbative Calculations
journal, July 2004


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Works referencing / citing this record:

Two-loop five-point massless QCD amplitudes within the integration-by-parts approach
journal, April 2019


All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order
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Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude
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