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Title: Six-Gluon amplitudes in planar N $$$$ \mathcal{N} $$$$ = 4 super-Yang-Mills theory at six and seven loops

Abstract

We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinmann relations and using the cosmic Galois coaction principle. Starting from a minimal space of functions constructed using these principles, we identify the amplitude by matching its symmetries and predicted behavior in various kinematic limits. Through five loops, the MHV and NMHV amplitudes are uniquely determined using only the multi-Regge and leading collinear limits. Beyond five loops, the MHV amplitude requires additional data from the kinematic expansion around the collinear limit, which we obtain from the Pentagon Operator Product Expansion, and in particular from its single-gluon bound state contribution. We study the MHV amplitude in the self-crossing limit, where its singular terms agree with previous predictions. Analyzing and plotting the amplitudes along various kinematical lines, we continue to find remarkable stability between loop orders.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
+ Show Author Affiliations
  1. McGill Univ., Montreal, QC (Canada). Dept of Physics
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Humboldt Univ. of Berlin (Germany). Inst. for Physics
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  4. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada); Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
  6. Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1562503
Report Number(s):
SLAC–PUB–17413
Journal ID: ISSN 1029-8479; TRN: US2000738
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Scattering Amplitudes; Supersymmetric Gauge Theory

Citation Formats

Caron-Huot, Simon, Dixon, Lance J., Dulat, Falko, von Hippel, Matt, McLeod, Andrew J., and Papathanasiou, Georgios. Six-Gluon amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops. United States: N. p., 2019. Web. doi:10.1007/jhep08(2019)016.
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Caron-Huot, Simon, Dixon, Lance J., Dulat, Falko, von Hippel, Matt, McLeod, Andrew J., & Papathanasiou, Georgios. Six-Gluon amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops. United States. https://doi.org/10.1007/jhep08(2019)016
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Caron-Huot, Simon, Dixon, Lance J., Dulat, Falko, von Hippel, Matt, McLeod, Andrew J., and Papathanasiou, Georgios. Mon . "Six-Gluon amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops". United States. https://doi.org/10.1007/jhep08(2019)016. https://www.osti.gov/servlets/purl/1562503.
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@article{osti_1562503,
title = {Six-Gluon amplitudes in planar N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops},
author = {Caron-Huot, Simon and Dixon, Lance J. and Dulat, Falko and von Hippel, Matt and McLeod, Andrew J. and Papathanasiou, Georgios},
abstractNote = {We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinmann relations and using the cosmic Galois coaction principle. Starting from a minimal space of functions constructed using these principles, we identify the amplitude by matching its symmetries and predicted behavior in various kinematic limits. Through five loops, the MHV and NMHV amplitudes are uniquely determined using only the multi-Regge and leading collinear limits. Beyond five loops, the MHV amplitude requires additional data from the kinematic expansion around the collinear limit, which we obtain from the Pentagon Operator Product Expansion, and in particular from its single-gluon bound state contribution. We study the MHV amplitude in the self-crossing limit, where its singular terms agree with previous predictions. Analyzing and plotting the amplitudes along various kinematical lines, we continue to find remarkable stability between loop orders.},
doi = {10.1007/jhep08(2019)016},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {Mon Aug 05 00:00:00 EDT 2019},
month = {Mon Aug 05 00:00:00 EDT 2019}
}
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https://doi.org/10.1007/jhep08(2019)016
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Cited by: 95 works
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Figures / Tables:

Table 1 Table 1: Remaining parameters in the ansätze for the (MHV, NMHV) amplitude after each constraint is applied, at each loop order. The superscript “∗” (“∗$n$”) denotes an additional ambiguity ($n$ ambiguities) which arises only due to lack of knowledge of the cosmic normalization constant $ρ$ at the given stage. Themore » “?” indicates an ambiguity about the number of weight 12 odd functions that are “dropouts”; they are allowed at symbol level but not function level. The seven-loop MHV amplitude was constrained in a somewhat different order. As the parameter counts are not directly comparable it is omitted from the table.« less
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Works referenced in this record:

The Multi-Regge limit of NMHV amplitudes in N=4 SYM theory
journal, January 2013

  • Lipatov, Lev; Prygarin, Alexander; Schnitzer, Howard J.
  • Journal of High Energy Physics, Vol. 2013, Issue 1
  • DOI: 10.1007/JHEP01(2013)068

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

A cluster bootstrap for two-loop MHV amplitudes
journal, February 2015

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

N=4 supersymmetric Yang–Mills scattering amplitudes at high energies: the Regge cut contribution
journal, December 2009

Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory
journal, January 2012

  • Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.
  • Journal of High Energy Physics, Vol. 2012, Issue 1
  • DOI: 10.1007/JHEP01(2012)024

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

Rationalizing loop integration
journal, August 2018

  • Bourjaily, Jacob L.; McLeod, Andrew J.; von Hippel, Matt
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/JHEP08(2018)184

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

The double pentaladder integral to all orders
journal, July 2018

  • Caron-Huot, Simon; Dixon, Lance J.; von Hippel, Matt
  • Journal of High Energy Physics, Vol. 2018, Issue 7
  • DOI: 10.1007/JHEP07(2018)170

Galois symmetries of fundamental groupoids and noncommutative geometry
journal, June 2005

Grassmannian Geometry of Scattering Amplitudes
book, May 2016

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
journal, August 2012

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

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

Into the amplituhedron
journal, December 2014

  • Arkani-Hamed, Nima; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)182

Hexagon OPE resummation and multi-Regge kinematics
journal, February 2016

  • Drummond, J. M.; Papathanasiou, G.
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)185

Bootstrapping six-gluon scattering in planar N=4 super-Yang-Mills theory
conference, August 2014

  • Dixon, Lance; Drummond, James; Duhr, Claude
  • Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2014)
  • DOI: 10.22323/1.211.0077

Comments on gluon scattering amplitudes via AdS/CFT
journal, November 2007

Evaluating the six-point remainder function near the collinear limit
journal, October 2014

The four-loop six-gluon NMHV ratio function
journal, January 2016

  • Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J.
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)053

Mixed Tate motives over Z
journal, January 2012

Dual superconformal symmetry of scattering amplitudes in super-Yang–Mills theory
journal, March 2010

Generating tree amplitudes in 𝒩 = 4 SYM and 𝒩 = 8 SG
journal, September 2008

  • Bianchi, Massimo; Elvang, Henriette; Freedman, Daniel Z.
  • Journal of High Energy Physics, Vol. 2008, Issue 09
  • DOI: 10.1088/1126-6708/2008/09/063

From d logs to dilogs; the super Yang-Mills MHV amplitude revisited
journal, January 2014

  • Lipstein, Arthur E.; Mason, Lionel
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)169

The two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM
journal, May 2010

  • Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
  • Journal of High Energy Physics, Vol. 2010, Issue 5
  • DOI: 10.1007/JHEP05(2010)084

Supersymmetric Yang-Mills theories
journal, March 1977

Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
journal, August 2016

  • Del Duca, Vittorio; Druc, Stefan; Drummond, James
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)152

An operator product expansion for polygonal null Wilson loops
journal, April 2011

  • Alday, Luis F.; Gaiotto, Davide; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)088

Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
journal, January 2009

  • Brown, Francis C. S.
  • Annales scientifiques de l'École normale supérieure, Vol. 42, Issue 3
  • DOI: 10.24033/asens.2099

OPE for all helicity amplitudes
journal, August 2015

  • Basso, Benjamin; Caetano, João; Córdova, Lucía
  • Journal of High Energy Physics, Vol. 2015, Issue 8
  • DOI: 10.1007/JHEP08(2015)018

Matrix pentagons
journal, October 2017

Harmonic sums and polylogarithms generated by cyclotomic polynomials
journal, October 2011

  • Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
  • Journal of Mathematical Physics, Vol. 52, Issue 10
  • DOI: 10.1063/1.3629472

Uniqueness of two-loop master contours
journal, October 2012

  • Caron-Huot, Simon; Larsen, Kasper J.
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)026

Pulling the straps of polygons
journal, December 2011

  • Gaiotto, Davide; Maldacena, Juan; Sever, Amit
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)011

Hexagon Wilson loop = six-gluon MHV amplitude
journal, July 2009

On factorization of multiparticle pentagons
journal, August 2015

The Sklyanin bracket and cluster adjacency at all multiplicity
journal, March 2019

  • Golden, John; McLeod, Andrew J.; Spradlin, Marcus
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)195

Cluster adjacency and the four-loop NMHV heptagon
text, January 2019

  • Drummond, James; Foster, Jack; Gürdoğn, Ömer
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-01988

Transcendentality and crossing
journal, January 2007

  • Beisert, Niklas; Eden, Burkhard; Staudacher, Matthias
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 01
  • DOI: 10.1088/1742-5468/2007/01/P01021

Hexagon Wilson loop OPE and harmonic polylogarithms
journal, November 2013

Polylogarithmes multiples uniformes en une variable
journal, April 2004

Mellin amplitudes for dual conformal integrals
journal, August 2012

  • Paulos, Miguel F.; Spradlin, Marcus; Volovich, Anastasia
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)072

Collinear Limit of Scattering Amplitudes at Strong Coupling
journal, December 2014

Conformal properties of four-gluon planar amplitudes and Wilson loops
journal, May 2008

The Galois coaction on $\phi^4$ periods
journal, January 2017

Bootstrapping an NMHV amplitude through three loops
journal, October 2014

  • Dixon, Lance J.; von Hippel, Matt
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)065

Hexagon functions and the three-loop remainder function
journal, December 2013

  • Dixon, Lance J.; Drummond, James M.; von Hippel, Matt
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)049

Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space
journal, May 2016

  • Broedel, Johannes; Sprenger, Martin
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)055

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
journal, December 2016

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

Feynman amplitudes, coaction principle, and cosmic Galois group
journal, January 2017

Hexagon remainder function in the limit of self-crossing up to three loops
journal, April 2012

Adjoint BFKL at finite coupling: a short-cut from the collinear limit
journal, January 2015

  • Basso, Benjamin; Caron-Huot, Simon; Sever, Amit
  • Journal of High Energy Physics, Vol. 2015, Issue 1
  • DOI: 10.1007/JHEP01(2015)027

Fermionic pentagons and NMHV hexagon
journal, May 2015

Gluon scattering amplitudes at strong coupling
journal, June 2007

Non-MHV Tree Amplitudes in Gauge Theory
journal, July 2004

Cluster adjacency beyond MHV
journal, March 2019

  • Drummond, James; Foster, Jack; Gürdoğan, Ömer
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/JHEP03(2019)086

A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon
journal, March 2015

  • Drummond, J. M.; Papathanasiou, G.; Spradlin, M.
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)072

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

BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> SUSY
journal, January 2012

An analytic result for the two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM
journal, March 2010

  • Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)099

The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
journal, June 2018

  • Del Duca, Vittorio; Druc, Stefan; Drummond, James
  • Journal of High Energy Physics, Vol. 2018, Issue 6
  • DOI: 10.1007/JHEP06(2018)116

Nonsinglet pentagons and NMHV amplitudes
journal, July 2015

Bootstrapping the three-loop hexagon
journal, November 2011

  • Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.
  • Journal of High Energy Physics, Vol. 2011, Issue 11
  • DOI: 10.1007/JHEP11(2011)023

What is the simplest quantum field theory?
journal, September 2010

  • Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared
  • Journal of High Energy Physics, Vol. 2010, Issue 9
  • DOI: 10.1007/JHEP09(2010)016

Eliminating spurious poles from gauge-theoretic amplitudes
journal, May 2013

Multi-loop positivity of the planar N $$ \mathcal{N} $$ = 4 SYM six-point amplitude
journal, February 2017

  • Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J.
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)112

Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture
journal, September 2009

Dual superconformal invariance, momentum twistors and Grassmannians
journal, November 2009

Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills
journal, December 2011

The Galois coaction on the electron anomalous magnetic moment
journal, January 2018

Harmonic Polylogarithms
journal, February 2000

  • Remiddi, E.; Vermaseren, J. A. M.
  • International Journal of Modern Physics A, Vol. 15, Issue 05
  • DOI: 10.1142/S0217751X00000367

Motivic amplitudes and cluster coordinates
journal, January 2014

  • Golden, J. K.; Goncharov, A. B.; Spradlin, M.
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)091

Optical theorems and steinmann relations
journal, April 1975

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

A duality for the S matrix
journal, March 2010

  • Arkani-Hamed, N.; Cachazo, F.; Cheung, C.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)020

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

Thermodynamic bubble ansatz
journal, September 2011

  • Alday, Luis F.; Gaiotto, Davide; Maldacena, Juan
  • Journal of High Energy Physics, Vol. 2011, Issue 9
  • DOI: 10.1007/JHEP09(2011)032

Exciting the GKP string at any coupling
journal, April 2012

From the holomorphic Wilson loop to ‘d log’ loop-integrands of super-Yang-Mills amplitudes
journal, May 2013

  • Lipstein, Arthur E.; Mason, Lionel
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/JHEP05(2013)106

A current algebra for some gauge theory amplitudes
journal, November 1988

Classical Polylogarithms for Amplitudes and Wilson Loops
journal, October 2010

Single-valued harmonic polylogarithms and the multi-Regge limit
journal, October 2012

  • Dixon, Lance J.; Duhr, Claude; Pennington, Jeffrey
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)074

From polygons and symbols to polylogarithmic functions
journal, October 2012

  • Duhr, Claude; Gangl, Herbert; Rhodes, John R.
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)075

Graphical functions and single-valued multiple polylogarithms
journal, January 2014

Jumpstarting the all-loop S-matrix of planar $ \mathcal{N} = {4} $ super Yang-Mills
journal, July 2012

The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory
journal, June 2014

  • Dixon, Lance J.; Drummond, James M.; Duhr, Claude
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)116

Cluster algebras and the subalgebra constructibility of the seven-particle remainder function
journal, January 2019

Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
journal, April 2007

Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory
journal, August 2008

Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
journal, October 2005

BFKL Pomeron, Reggeized gluons, and Bern-Dixon-Smirnov amplitudes
journal, August 2009

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

Cluster Adjacency Properties of Scattering Amplitudes in N = 4 Supersymmetric Yang-Mills Theory
journal, April 2018

Spacetime and Flux Tube S -Matrices at Finite Coupling for N = 4 Supersymmetric Yang-Mills Theory
journal, August 2013

Space-time S-matrix and flux tube S-matrix II. Extracting and matching data
journal, January 2014

  • Basso, Benjamin; Sever, Amit; Vieira, Pedro
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)008

Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions
journal, August 2014

  • Basso, Benjamin; Sever, Amit; Vieira, Pedro
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)085

Space-time S-matrix and flux-tube S-matrix IV. Gluons and fusion
journal, September 2014

  • Basso, Benjamin; Sever, Amit; Vieira, Pedro
  • Journal of High Energy Physics, Vol. 2014, Issue 9
  • DOI: 10.1007/JHEP09(2014)149

OPE for all helicity amplitudes II. Form factors and data analysis
journal, December 2015

  • Basso, Benjamin; Caetano, João; Córdova, Lucía
  • Journal of High Energy Physics, Vol. 2015, Issue 12
  • DOI: 10.1007/JHEP12(2015)088

Hexagonal Wilson loops in planar ${ \mathcal N }=4$ SYM theory at finite coupling
journal, September 2016

  • Basso, Benjamin; Sever, Amit; Vieira, Pedro
  • Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 41
  • DOI: 10.1088/1751-8113/49/41/41LT01

High-energy scattering in QCD and cross singularities of Wilson loops
journal, March 1995

Cluster adjacency and the four-loop NMHV heptagon
text, January 2018

  • Drummond, James; Foster, Jack; Gürdoğan, Ömer
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-05809

Single-valued harmonic polylogarithms and the multi-Regge limit
text, January 2012

Hexagon Wilson loop = six-gluon MHV amplitude
text, January 2008

Generating Tree Amplitudes in N=4 SYM and N=8 SG
text, January 2008

Local Spacetime Physics from the Grassmannian
text, January 2009

Exciting the GKP string at any coupling
text, January 2010

Pulling the straps of polygons
text, January 2011

Mixed Tate motives over $\Z$
preprint, January 2011

Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
text, January 2011

Mellin Amplitudes for Dual Conformal Integrals
text, January 2012

The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
text, January 2012

Nonsinglet pentagons and NMHV amplitudes
text, January 2014

Adjoint BFKL at finite coupling: a short-cut from the collinear limit
text, January 2014

Fermionic pentagons and NMHV hexagon
text, January 2014

OPE for all Helicity Amplitudes
text, January 2014

On factorization of multiparticle pentagons
text, January 2015

Cluster adjacency beyond MHV
text, January 2018

Cluster adjacency and the four-loop NMHV heptagon
text, January 2018

Harmonic Polylogarithms
text, January 1999

Transcendentality and Crossing
text, January 2006

The differential of all two-loop MHV amplitudes in $ \mathcal{N}=4 $ Yang-Mills theory
journal, September 2013

Fermionic pentagons and NMHV hexagon
journal, May 2015

On factorization of multiparticle pentagons
journal, August 2015

Harmonic sums and polylogarithms generated by cyclotomic polynomials
journal, October 2011

  • Ablinger, Jakob; Blümlein, Johannes; Schneider, Carsten
  • Journal of Mathematical Physics, Vol. 52, Issue 10
  • DOI: 10.1063/1.3629472

The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
text, January 2008

Hexagon Wilson loop = six-gluon MHV amplitude
text, January 2008

Mellin Amplitudes for Dual Conformal Integrals
text, January 2012

Nonsinglet pentagons and NMHV amplitudes
text, January 2014

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    Works referencing / citing this record:

    The Multi-Regge Limit from the Wilson Loop OPE
    text, January 2019

    • Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02567

    All-order amplitudes at any multiplicity in the multi-Regge limit
    text, January 2020

    The Multi-Regge Limit from the Wilson Loop OPE
    text, January 2020

    • Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2020-01807

    Yangian invariants and cluster adjacency in $$ \mathcal{N} $$ = 4 Yang-Mills
    journal, October 2019

    • Mago, Jorge; Schreiber, Anders; Spradlin, Marcus
    • Journal of High Energy Physics, Vol. 2019, Issue 10
    • DOI: 10.1007/jhep10(2019)099

    Origin of the Six-Gluon Amplitude in Planar N = 4 Supersymmetric Yang-Mills Theory
    journal, April 2020

    n -point QCD two-loop amplitude
    journal, April 2020

    On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
    journal, November 2019

    The cosmic Galois group and extended Steinmann relations for planar N $$ \mathcal{N} $$ = 4 SYM amplitudes
    text, January 2019

    • Caron-Huot, Simon; Dixon, Lance J.; Dulat, Falko
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-03749

    The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N} = 4$ SYM Amplitudes
    text, January 2019

    • Caron-Huot, Simon; Dixon, Lance J.; Dulat, Falko
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02565

    All-order amplitudes at any multiplicity in the multi-Regge limit
    text, January 2019

    All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit
    text, January 2020

    The Multi-Regge Limit from the Wilson Loop OPE
    text, January 2019

    Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
    text, January 2019

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