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Title: Two-Loop Four-Gluon Amplitudes from Numerical Unitarity

Journal Article · · Physical Review Letters
 [1];  [1];  [1];  [1];  [1];  [2]
  1. Univ. of Freiburg (Germany). Inst. of Physics
  2. Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics. Dept. of Physics and Astronomy

We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process in the leading-color approximation. We discuss the new method, analyze its numerical properties, and apply it to reconstruct the analytic form of the amplitudes. The numerical method is universal, and can be automated to provide multiscale two-loop computations for phenomenologically relevant signatures at hadron colliders.

Research Organization:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0009937
OSTI ID:
1541230
Alternate ID(s):
OSTI ID: 1398151
Journal Information:
Physical Review Letters, Vol. 119, Issue 14; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 48 works
Citation information provided by
Web of Science

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Cited By (28)

A minimal approach to the scattering of physical massless bosons journal May 2018
Extracting analytical one-loop amplitudes from numerical evaluations journal July 2019
PolyLogTools — polylogs for the masses journal August 2019
Planar two-loop five-parton amplitudes from numerical unitarity journal November 2018
Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator journal December 2019
Determining arbitrary Feynman integrals by vacuum integrals journal April 2019
Two-loop five-point massless QCD amplitudes within the integration-by-parts approach journal April 2019
Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle journal September 2018
Analytic Form of Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD journal February 2019
A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons text January 2019
A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons journal September 2019
The double pentaladder integral to all ordersC text January 2018
Analytic all-plus-helicity gluon amplitudes in QCD text January 2017
A minimal approach to the scattering of physical massless bosons text January 2017
A first look at two-loop five-gluon scattering in QCD text January 2017
Determine Arbitrary Feynman Integrals by Vacuum Integrals text January 2018
The Double Pentaladder Integral to All Orders text January 2018
Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity text January 2018
PolyLogTools - Polylogs for the masses text January 2019
Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes journal April 2021
Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders journal November 2021
Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals conference February 2022
A Systematic and Efficient Method to Compute Multi-loop Master Integrals text January 2017
Five-Point Two-Loop Amplitudes from Numerical Unitarity preprint January 2018
Extracting analytical one-loop amplitudes from numerical evaluations text January 2019
Leading-Color Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders text January 2020
Reduction of planar double-box diagram for single-top production via auxiliary mass flow text January 2021
Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders text January 2021

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