skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dual conformal symmetry, integration-by-parts reduction, differential equations, and the nonplanar sector

Journal Article · · Physical Review D

Not provided.

Research Organization:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0009937
OSTI ID:
1541116
Journal Information:
Physical Review D, Vol. 96, Issue 9; ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (69)

Magic identities for conformal four-point integrals journal January 2007
Dual conformal symmetry at loop level: massive regularization journal October 2011
The one-loop six-dimensional hexagon integral with three massive corners journal August 2011
Gluing Ladder Feynman Diagrams into Fishnets journal August 2017
Conformal properties of four-gluon planar amplitudes and Wilson loops journal May 2008
One-loop n-point gauge theory amplitudes, unitarity and collinear limits journal August 1994
Fusing gauge theory tree amplitudes into loop amplitudes journal February 1995
Reducing full one-loop amplitudes to scalar integrals at the integrand level journal February 2007
Direct extraction of one-loop integral coefficients journal June 2007
Automated implementation of on-shell methods for one-loop amplitudes journal August 2008
Precise Predictions for W + 3 Jet Production at Hadron Colliders journal June 2009
Scattering Amplitudes with Open Loops journal March 2012
Helac-Nlo journal March 2013
Automated one-loop calculations with GoSam journal March 2012
Numerical evaluation of virtual corrections to multi-jet production in massless QCD journal August 2013
Next-to-leading order W + 5 -jet production at the LHC journal July 2013
The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations journal July 2014
R E C O L A—REcursive Computation of One-Loop Amplitudes journal May 2017
Subleading poles in the numerical unitarity method at two loops journal May 2017
Integrand-level reduction of loop amplitudes by computational algebraic geometry methods journal September 2012
On the integrand-reduction method for two-loop scattering amplitudes journal November 2011
Scattering amplitudes from multivariate polynomial division journal November 2012
Adaptive integrand decomposition in parallel and orthogonal space journal August 2016
A numerical unitarity formalism for evaluating one-loop amplitudes journal March 2008
Full one-loop amplitudes from tree amplitudes journal April 2008
Two-loop integrand decomposition into master integrals and surface terms journal December 2016
A theorem on analytical calculability of 4-loop renormalization group functions journal March 1981
Integration by parts: The algorithm to calculate β-functions in 4 loops journal November 1981
Towards a basis for planar two-loop integrals journal February 2011
Affine varieties and lie algebras of vector fields journal December 1993
A new algorithm for the generation of unitarity-compatible integration by parts relations journal January 2012
Integration-by-parts reductions from unitarity cuts and algebraic geometry journal February 2016
Perturbative QCD utilizing extended supersymmetry journal July 1985
One-loop corrections to five-gluon amplitudes journal May 1993
On planar gluon amplitudes/Wilson loops duality journal May 2008
Yangian-type symmetries of non-planar leading singularities journal May 2016
On analytic properties of vertex parts in quantum field theory journal October 1959
An Introduction to Quantum Field Theory book January 1993
One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model journal November 1979
Projectors, shadows, and conformal blocks journal April 2014
Differential equations method: the calculation of vertex-type Feynman diagrams journal April 1991
Dimensionally-regulated pentagon integrals journal January 1994
Differential equations on unitarity cut surfaces journal June 2017
Multiloop Integrals in Dimensional Regularization Made Simple journal June 2013
Lectures on differential equations for Feynman integrals journal March 2015
Evaluating single-scale and/or non-planar diagrams by differential equations journal March 2014
On-shell structures of MHV amplitudes beyond the planar limit journal June 2015
Logarithmic singularities and maximally supersymmetric amplitudes journal June 2015
Evidence for a nonplanar amplituhedron journal June 2016
Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills journal May 1997
On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences journal October 1998
Analytic treatment of the two loop equal mass sunrise graph journal January 2005
A second-order differential equation for the two-loop sunrise graph with arbitrary masses journal January 2012
Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals journal July 2008
Maximal unitarity at two loops journal February 2012
Uniqueness of two-loop master contours journal October 2012
Global residues and two-loop hepta-cuts journal September 2013
Maximal unitarity for the four-mass double box journal June 2014
Multivariate residues and maximal unitarity journal December 2013
Cuts from residues: the one-loop case journal June 2017
Unitarity cuts of integrals with doubled propagators journal July 2014
Baikov-Lee representations of cut Feynman integrals journal June 2017
Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills journal January 2010
Factorization in one-loop gauge theory journal August 1995
Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model journal August 2004
Erratum to: “Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang–Mills model” [Phys. Lett. B 595 (2004) 521] journal January 2006
Dimensionally regularized two-loop on-shell quark form factor journal September 1983
Integrals for two‐loop calculations in massless QCD journal April 1987
New relations for gauge-theory amplitudes journal October 2008

Similar Records

Dual conformal symmetry, integration-by-parts reduction, differential equations, and the nonplanar sector
Journal Article · Tue Nov 21 00:00:00 EST 2017 · Physical Review D · OSTI ID:1541116

Differential equations from unitarity cuts: nonplanar hexa-box integrals
Journal Article · Wed Jan 02 00:00:00 EST 2019 · Journal of High Energy Physics (Online) · OSTI ID:1541116

Celestial dual superconformal symmetry, MHV amplitudes and differential equations
Journal Article · Thu Dec 23 00:00:00 EST 2021 · Journal of High Energy Physics (Online) · OSTI ID:1541116