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

Title: All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1605638
Grant/Contract Number:  
[SC0009999; AC02-76SF00515]
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
[Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 11]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., and Trnka, Jaroslav. All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.111603.
Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., & Trnka, Jaroslav. All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops. United States. doi:10.1103/PhysRevLett.124.111603.
Bourjaily, Jacob L., Herrmann, Enrico, Langer, Cameron, McLeod, Andrew J., and Trnka, Jaroslav. Fri . "All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops". United States. doi:10.1103/PhysRevLett.124.111603.
@article{osti_1605638,
title = {All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops},
author = {Bourjaily, Jacob L. and Herrmann, Enrico and Langer, Cameron and McLeod, Andrew J. and Trnka, Jaroslav},
abstractNote = {},
doi = {10.1103/PhysRevLett.124.111603},
journal = {Physical Review Letters},
number = [11],
volume = [124],
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.124.111603

Save / Share:

Works referenced in this record:

Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
journal, December 2014


Prescriptive unitarity for non-planar six-particle amplitudes at two loops
journal, December 2019

  • Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron
  • Journal of High Energy Physics, Vol. 2019, Issue 12
  • DOI: 10.1007/JHEP12(2019)073

Heptagons from the Steinmann cluster bootstrap
journal, February 2017

  • Dixon, Lance J.; Drummond, James; Harrington, Thomas
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)137

All Master Integrals for Three-Jet Production at Next-to-Next-to-Leading Order
journal, July 2019


Analytic Result for a Two-Loop Five-Particle Amplitude
journal, March 2019


Supersymmetry, supergravity theories and the dual spinor model
journal, April 1977


New color decompositions for gauge amplitudes at tree and loop level
journal, April 2000


Complete four-loop four-point amplitude in N = 4 super-Yang-Mills theory
journal, December 2010


Two-Loop Five-Point Amplitude in N = 4 Super-Yang-Mills Theory
journal, March 2019


Four-Gluon Scattering at Three Loops, Infrared Structure, and the Regge Limit
journal, October 2016


The classification of two-loop integrand basis in pure four-dimension
journal, February 2013


The two-loop five-particle amplitude in N $$ \mathcal{N} $$ = 8 supergravity
journal, March 2019

  • Chicherin, Dmitry; Gehrmann, Thomas; Henn, Johannes M.
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)115

Bounded Collection of Feynman Integral Calabi-Yau Geometries
journal, January 2019


Elliptic Double-Box Integrals: Massless Scattering Amplitudes beyond Polylogarithms
journal, March 2018


The Amplituhedron
journal, October 2014

  • Arkani-Hamed, Nima; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)030

Maximally supersymmetric amplitudes at infinite loop momentum
journal, March 2019


Amplitudes and correlators to ten loops using simple, graphical bootstraps
journal, November 2016

  • Bourjaily, Jacob L.; Heslop, Paul; Tran, Vuong-Viet
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)125

Two-loop four-gluon amplitudes in N = 4 super-Yang-Mills
journal, May 1997


One-loop n -gluon amplitudes with maximal helicity violation via collinear limits
journal, April 1994


Integrand reduction for two-loop scattering amplitudes through multivariate polynomial division
journal, April 2013


Two-Loop Four-Gluon Amplitudes from Numerical Unitarity
journal, October 2017


Review of AdS/CFT Integrability: An Overview
journal, October 2011

  • Beisert, Niklas; Ahn, Changrim; Alday, Luis F.
  • Letters in Mathematical Physics, Vol. 99, Issue 1-3
  • DOI: 10.1007/s11005-011-0529-2

Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops
journal, April 2007


Local integrand representations of all two-loop amplitudes in planar SYM
journal, August 2015

  • Bourjaily, Jacob L.; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2015, Issue 8
  • DOI: 10.1007/JHEP08(2015)119

Local spacetime physics from the Grassmannian
journal, January 2011

  • Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)108

Evidence for a nonplanar amplituhedron
journal, June 2016

  • Bern, Zvi; Herrmann, Enrico; Litsey, Sean
  • Journal of High Energy Physics, Vol. 2016, Issue 6
  • DOI: 10.1007/JHEP06(2016)098

Multi-parton amplitudes in gauge theories
journal, February 1991


Magic identities for conformal four-point integrals
journal, January 2007

  • Drummond, James M.; Henn, Johannes; Smirnov, Vladimir A.
  • Journal of High Energy Physics, Vol. 2007, Issue 01
  • DOI: 10.1088/1126-6708/2007/01/064

Cluster adjacency and the four-loop NMHV heptagon
journal, March 2019

  • Drummond, James; Foster, Jack; Gürdoğn, Ömer
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)087

Erratum: Infrared Singularities of Scattering Amplitudes in Perturbative QCD [Phys. Rev. Lett. 102 , 162001 (2009)]
journal, November 2013


Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality in N = 4 Supersymmetric Yang-Mills Theory
journal, May 2016


On-shell structures of MHV amplitudes beyond the planar limit
journal, June 2015

  • Arkani-Hamed, Nima; Bourjaily, Jacob L.; Cachazo, Freddy
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)179

Infrared Singularities of Scattering Amplitudes in Perturbative QCD
journal, April 2009


On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
journal, October 1998


Multi-quark colour decompositions from unitarity
journal, October 2019


Two-loop maximally helicity violating amplitudes in N = 4 supersymmetric Yang-Mills theory
journal, December 2009


Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills
journal, January 2010

  • Alday, Luis F.; Henn, Johannes; Plefka, Jan
  • Journal of High Energy Physics, Vol. 2010, Issue 1
  • DOI: 10.1007/JHEP01(2010)077

Higgs-regularized three-loop four-gluon amplitude in $ \mathcal{N} = 4 $ SYM: exponentiation and Regge limits
journal, April 2010

  • Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J.
  • Journal of High Energy Physics, Vol. 2010, Issue 4
  • DOI: 10.1007/JHEP04(2010)038

Five-Loop Four-Point Amplitude of N = 4 Super-Yang-Mills Theory
journal, December 2012


Supersymmetric Yang-Mills theories
journal, March 1977


Logarithmic singularities and maximally supersymmetric amplitudes
journal, June 2015

  • Bern, Zvi; Herrmann, Enrico; Litsey, Sean
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)202

The singular behaviour of QCD amplitudes at two-loop order
journal, May 1998


Five-loop four-point integrand of N = 8 supergravity as a generalized double copy
journal, December 2017


Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles
journal, October 2006


Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
journal, March 2009


Dual-conformal regularization of infrared loop divergences and the chiral box expansion
journal, January 2015

  • Bourjaily, Jacob; Caron-Huot, Simon; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)001

One-loop n-point gauge theory amplitudes, unitarity and collinear limits
journal, August 1994


The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM
journal, January 2011

  • Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)041

The soft-collinear bootstrap: $ \mathcal{N} = {4} $ Yang-Mills amplitudes at six- and seven-loops
journal, March 2012

  • Bourjaily, J. L.; DiRe, A.; Shaikh, A.
  • Journal of High Energy Physics, Vol. 2012, Issue 3
  • DOI: 10.1007/JHEP03(2012)032

Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams
journal, October 2016

  • Bourjaily, Jacob L.; Franco, Sebastián; Galloni, Daniele
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)003

Full colour for loop amplitudes in Yang-Mills theory
journal, February 2017


Traintracks through Calabi-Yau Manifolds: Scattering Amplitudes beyond Elliptic Polylogarithms
journal, August 2018


Unification of residues and Grassmannian dualities
journal, January 2011

  • Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)049

Amplitude for n -Gluon Scattering
journal, June 1986


New relations for gauge-theory amplitudes
journal, October 2008


Prescriptive unitarity
journal, June 2017

  • Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2017, Issue 6
  • DOI: 10.1007/JHEP06(2017)059

Infrared Photons and Gravitons
journal, October 1965


Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space
journal, January 2020

  • Bourjaily, Jacob L.; McLeod, Andrew J.; Vergu, Cristian
  • Journal of High Energy Physics, Vol. 2020, Issue 1
  • DOI: 10.1007/JHEP01(2020)078

Five-point amplitudes in N = 4 super-Yang-Mills theory and N = 8 supergravity
journal, January 2012


Reducing full one-loop amplitudes to scalar integrals at the integrand level
journal, February 2007


Hard-soft-collinear factorization to all orders
journal, November 2014


Gravity on-shell diagrams
journal, November 2016

  • Herrmann, Enrico; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)136

Universal structure of subleading infrared poles in gauge theory amplitudes
journal, August 2008


The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order
journal, December 1998


Local integrals for planar scattering amplitudes
journal, June 2012

  • Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
  • Journal of High Energy Physics, Vol. 2012, Issue 6
  • DOI: 10.1007/JHEP06(2012)125

Multiloop integrand reduction for dimensionally regulated amplitudes
journal, December 2013