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

Journal Article · · Physical Review D

Not Available

Research Organization:
Univ. of California, Los Angeles, CA (United States); Univ. of Freiburg (Germany)
Sponsoring Organization:
Alexander von Humboldt Foundation (Germany); Federal Ministry of Education and Research (BMBF) (Germany); USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0009937
OSTI ID:
1455090
Journal Information:
Physical Review D, Journal Name: Physical Review D Journal Issue: 11 Vol. 97; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (59)

Automatic Feynman Graph Generation journal April 1993
A new algorithm for the generation of unitarity-compatible integration by parts relations journal January 2012
Full colour for loop amplitudes in Yang-Mills theory journal February 2017
Hepta-cuts of two-loop scattering amplitudes journal April 2012
The pentabox Master Integrals with the Simplified Differential Equations approach journal April 2016
Eliminating spurious poles from gauge-theoretic amplitudes journal May 2013
Integrand-level reduction of loop amplitudes by computational algebraic geometry methods journal September 2012
A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory journal October 2015
On the integrand-reduction method for two-loop scattering amplitudes journal November 2011
A two-loop five-gluon helicity amplitude in QCD journal December 2013
Scattering amplitudes over finite fields and multivariate functional reconstruction journal December 2016
Slimgb: Gröbner bases with slim polynomials journal December 2009
The analytical value of the electron (g − 2) at order α3 in QED journal June 1996
Regularization and renormalization of gauge fields journal July 1972
Integration by parts: The algorithm to calculate β-functions in 4 loops journal November 1981
Recursive calculations for processes with n gluons journal September 1988
The computation of loop amplitudes in gauge theories journal July 1992
Fusing gauge theory tree amplitudes into loop amplitudes journal February 1995
One-loop n-point gauge theory amplitudes, unitarity and collinear limits journal August 1994
Multi-loop amplitudes and resummation journal January 2003
The singular behaviour of QCD amplitudes at two-loop order journal May 1998
Two-loop master integrals for jets: the planar topologies journal May 2001
One-loop amplitudes for e+e− to four partons journal March 1998
Numerical evaluation of multiple polylogarithms journal May 2005
Reduze – Feynman integral reduction in C++ journal July 2010
FORM version 4.0 journal May 2013
FIRE5: A C++ implementation of Feynman Integral REduction journal April 2015
FIESTA4: Optimized Feynman integral calculations with GPU support journal July 2016
Azurite : An algebraic geometry based package for finding bases of loop integrals journal December 2017
Kira—A Feynman integral reduction program journal September 2018
Generalized unitarity and one-loop amplitudes in super-Yang–Mills journal October 2005
Reducing full one-loop amplitudes to scalar integrals at the integrand level journal February 2007
Scattering amplitudes from multivariate polynomial division journal November 2012
A novel approach to integration by parts reduction journal May 2015
One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts journal September 2012
Automatic Integral Reduction for Higher Order Perturbative Calculations journal July 2004
A numerical unitarity formalism for evaluating one-loop amplitudes journal March 2008
Full one-loop amplitudes from tree amplitudes journal April 2008
Algorithm FIRE—Feynman Integral REduction journal October 2008
Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes journal March 2009
LiteRed 1.4: a powerful tool for reduction of multiloop integrals journal June 2014
Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts journal October 2002
Automated implementation of on-shell methods for one-loop amplitudes journal August 2008
Towards a basis for planar two-loop integrals journal February 2011
Integration-by-parts reductions from unitarity cuts and algebraic geometry journal February 2016
Two-loop five-point all-plus helicity Yang-Mills amplitude journal April 2016
Two-loop integrand decomposition into master integrals and surface terms journal December 2016
Subleading poles in the numerical unitarity method at two loops journal May 2017
Dual conformal symmetry, integration-by-parts reduction, differential equations, and the nonplanar sector journal November 2017
Analytic all-plus-helicity gluon amplitudes in QCD journal December 2017
Infrared Singularities of Scattering Amplitudes in Perturbative QCD journal April 2009
Erratum: Infrared Singularities of Scattering Amplitudes in Perturbative QCD [Phys. Rev. Lett. 102 , 162001 (2009)] journal November 2013
Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD journal February 2016
Erratum: Analytic Form of the Two-Loop Planar Five-Gluon All-Plus-Helicity Amplitude in QCD [Phys. Rev. Lett. 116 , 062001 (2016)] journal May 2016
Two-Loop Six Gluon All-Plus Helicity Amplitude journal August 2016
Two-Loop Four-Gluon Amplitudes from Numerical Unitarity journal October 2017
First Look at Two-Loop Five-Gluon Scattering in QCD journal March 2018
High-Precision Calculation of Multiloop Feynman Integrals by Difference Equations journal December 2000
Towards a numerical unitarity approach for two-loop amplitudes in QCD conference October 2016