The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit

Del Duca, Vittorio; Dixon, Lance J.

doi:10.1088/1751-8121/ac845c

Title: The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit

Abstract

We review the Regge and multi-Regge limit of scattering amplitudes in gauge theory, focusing on QCD and its maximally supersymmetric cousin, planar $$\mathcal{N}=4$$ super-Yang–Mills theory. We identify the large logarithms that are developed in these limits, and the progress that has been made in resumming them, towards next-to-next-to-leading logarithms for BFKL evolution in QCD, as well as all-orders proposals in planar $$\mathcal{N}=4$$ super-Yang–Mills theory and the perturbative checks of those proposals. We also cover the application of single-valued multiple polylogarithms to this important kinematical limit of particle scattering.

Authors:

^[1];

^[2]

Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland); Univ. of Zurich (Switzerland); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)

Publication Date:: Wed Nov 30 00:00:00 EST 2022

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); European Union’s Horizon 2020 Research and Innovation Programme

OSTI Identifier:: 1958312

Grant/Contract Number:: AC02-76SF00515; 764850

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. A, Mathematical and Theoretical

Additional Journal Information:: Journal Volume: 55; Journal Issue: 44; Journal ID: ISSN 1751-8113

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; scattering amplitudes; gauge theory; Regge limit

Citation Formats


                    Del Duca, Vittorio, and Dixon, Lance J. The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit.  United States: N. p., 2022. 
Web.  doi:10.1088/1751-8121/ac845c.

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                    Del Duca, Vittorio, & Dixon, Lance J. The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit.  United States.  https://doi.org/10.1088/1751-8121/ac845c

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                    Del Duca, Vittorio, and Dixon, Lance J. Wed .  
"The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit".  United States.  https://doi.org/10.1088/1751-8121/ac845c.  https://www.osti.gov/servlets/purl/1958312.

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@article{osti_1958312,

  title        = {The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit},

  author       = {Del Duca, Vittorio and Dixon, Lance J.},

  abstractNote = {We review the Regge and multi-Regge limit of scattering amplitudes in gauge theory, focusing on QCD and its maximally supersymmetric cousin, planar $\mathcal{N}=4$ super-Yang–Mills theory. We identify the large logarithms that are developed in these limits, and the progress that has been made in resumming them, towards next-to-next-to-leading logarithms for BFKL evolution in QCD, as well as all-orders proposals in planar $\mathcal{N}=4$ super-Yang–Mills theory and the perturbative checks of those proposals. We also cover the application of single-valued multiple polylogarithms to this important kinematical limit of particle scattering.},

  doi          = {10.1088/1751-8121/ac845c},

  journal      = {Journal of Physics. A, Mathematical and Theoretical},

  number       = 44,

  volume       = 55,

  place        = {United States},

  year         = {Wed Nov 30 00:00:00 EST 2022},

  month        = {Wed Nov 30 00:00:00 EST 2022}

}

Copy to clipboard

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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

Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
journal, March 2022

Falcioni, Giulio; Gardi, Einan; Maher, Niamh
Journal of High Energy Physics, Vol. 2022, Issue 3
DOI: 10.1007/JHEP03(2022)053

Erratum to: “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory”
journal, May 2004

Kotikov, A. V.; Lipatov, L. N.
Nuclear Physics B, Vol. 685, Issue 1-3
DOI: 10.1016/j.nuclphysb.2004.02.032

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

Bern, Z.; Dixon, L. J.; Kosower, D. A.
Physical Review D, Vol. 78, Issue 4
DOI: 10.1103/physrevd.78.045007

Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation
journal, June 2013

Chirilli, Giovanni A.; Kovchegov, Yuri V.
Journal of High Energy Physics, Vol. 2013, Issue 6
DOI: 10.1007/JHEP06(2013)055

Particularities of the NNLLA BFKL
conference, January 2017

Fadin, V. S.
AIP Conference Proceedings
DOI: 10.1063/1.4977159

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

Bartels, J.; Lipatov, L. N.; Sabio Vera, A.
The European Physical Journal C, Vol. 65, Issue 3-4
DOI: 10.1140/epjc/s10052-009-1218-5

Dijet production at hadron-hadron colliders in the Balitskii-Fadin-Kuraev-Lipatov approach
journal, November 1997

Orr, Lynne H.; Stirling, W. J.
Physical Review D, Vol. 56, Issue 9
DOI: 10.1103/physrevd.56.5875

Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
journal, May 2011

Beisert, Niklas
Letters in Mathematical Physics, Vol. 99, Issue 1-3
DOI: 10.1007/s11005-011-0479-8

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

The two-loop symbol of all multi-Regge regions
journal, May 2016

Bargheer, Till; Papathanasiou, Georgios; Schomerus, Volker
Journal of High Energy Physics, Vol. 2016, Issue 5
DOI: 10.1007/JHEP05(2016)012

On planar gluon amplitudes/Wilson loops duality
journal, May 2008

Drummond, J. M.; Henn, J.; Korchemsky, G. P.
Nuclear Physics B, Vol. 795, Issue 1-2
DOI: 10.1016/j.nuclphysb.2007.11.007

Feynman rules for effective Regge action
journal, August 2005

Antonov, E. N.; Cherednikov, I. O.; Kuraev, E. A.
Nuclear Physics B, Vol. 721, Issue 1-3
DOI: 10.1016/j.nuclphysb.2005.05.013

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

Bern, Zvi; Czakon, Michael; Dixon, Lance J.
Physical Review D, Vol. 75, Issue 8
DOI: 10.1103/physrevd.75.085010

Six-Gluon amplitudes in planar N$$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops
journal, August 2019

Caron-Huot, Simon; Dixon, Lance J.; Dulat, Falko
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/JHEP08(2019)016

BFKL approach and $2 \to 5$ maximally helicity violating amplitude in $N = 4$ super-Yang-Mills theory
journal, September 2012

Bartels, J.; Kormilitzin, A.; Lipatov, L. N.
Physical Review D, Vol. 86, Issue 6
DOI: 10.1103/physrevd.86.065026

MHV amplitudes in super-Yang–Mills and Wilson Loops
journal, May 2008

Brandhuber, Andreas; Heslop, Paul; Travaglini, Gabriele
Nuclear Physics B, Vol. 794, Issue 1-2
DOI: 10.1016/j.nuclphysb.2007.11.002

Elementary Particles of Conventional Field Theory as Regge Poles
journal, September 1962

Gell-Mann, M.; Goldberger, M. L.
Physical Review Letters, Vol. 9, Issue 6
DOI: 10.1103/physrevlett.9.275

The six-point remainder function to all loop orders in the multi-Regge limit
journal, January 2013

Pennington, Jeffrey
Journal of High Energy Physics, Vol. 2013, Issue 1
DOI: 10.1007/JHEP01(2013)059

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

Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics
journal, December 2021

Dixon, Lance J.; Liu, Yu-Ting; Miczajka, Julian
Journal of High Energy Physics, Vol. 2021, Issue 12
DOI: 10.1007/jhep12(2021)218

Erratum to: γ∗γ∗ cross section at NLO and properties of the BFKL evolution at higher orders
journal, August 2015

Chirilli, Giovanni A.; Kovchegov, Yuri V.
Journal of High Energy Physics, Vol. 2015, Issue 8
DOI: 10.1007/JHEP08(2015)075

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

Classical Polylogarithms for Amplitudes and Wilson Loops
journal, October 2010

Goncharov, A. B.; Spradlin, M.; Vergu, C.
Physical Review Letters, Vol. 105, Issue 15
DOI: 10.1103/physrevlett.105.151605

γ * γ * cross section at NLO and properties of the BFKL evolution at higher orders
journal, May 2014

Chirilli, Giovanni A.; Kovchegov, Yuri V.
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/JHEP05(2014)099

JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
journal, September 2009

Binosi, D.; Collins, J.; Kaufhold, C.
Computer Physics Communications, Vol. 180, Issue 9
DOI: 10.1016/j.cpc.2009.02.020

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

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

Lifting heptagon symbols to functions
journal, October 2020

Dixon, Lance J.; Liu, Yu-Ting
Journal of High Energy Physics, Vol. 2020, Issue 10
DOI: 10.1007/JHEP10(2020)031

BFKL approach and six-particle maximally helicity violating amplitude in $N = 4$ super Yang-Mills theory
journal, June 2011

Lipatov, L. N.; Prygarin, A.
Physical Review D, Vol. 83, Issue 12
DOI: 10.1103/physrevd.83.125001

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

Bern, Zvi; Dixon, Lance J.; Smirnov, Vladimir A.
Physical Review D, Vol. 72, Issue 8
DOI: 10.1103/physrevd.72.085001

All orders results for self-crossing Wilson loops mimicking double parton scattering
journal, July 2016

Dixon, Lance J.; Esterlis, Ilya
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/jhep07(2016)116

Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
journal, February 2015

Del Duca, Vittorio; Falcioni, Giulio; Magnea, Lorenzo
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)029

The infrared structure of gauge theory amplitudes in the high-energy limit
journal, December 2011

Del Duca, Vittorio; Duhr, Claude; Gardi, Einan
Journal of High Energy Physics, Vol. 2011, Issue 12
DOI: 10.1007/JHEP12(2011)021

Fermionic Glauber operators and quark reggeization
journal, February 2018

Moult, Ian; Solon, Mikhail P.; Stewart, Iain W.
Journal of High Energy Physics, Vol. 2018, Issue 2
DOI: 10.1007/jhep02(2018)134

Maximally supersymmetric planar Yang-Mills amplitudes at five loops
journal, December 2007

Bern, Z.; Carrasco, J. J. M.; Johansson, H.
Physical Review D, Vol. 76, Issue 12
DOI: 10.1103/physrevd.76.125020

Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
journal, November 2009

Alday, Luis F.; Maldacena, Juan
Journal of High Energy Physics, Vol. 2009, Issue 11
DOI: 10.1088/1126-6708/2009/11/082

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

Multi-Regge limit of the n-gluon bubble ansatz
journal, November 2012

Bartels, J.; Schomerus, V.; Sprenger, M.
Journal of High Energy Physics, Vol. 2012, Issue 11
DOI: 10.1007/jhep11(2012)145

Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
journal, February 2010

Drummond, J. M.; Henn, J.; Korchemsky, G. P.
Nuclear Physics B, Vol. 826, Issue 1-2
DOI: 10.1016/j.nuclphysb.2009.10.013

Iterating QCD scattering amplitudes in the high-energy limit
journal, February 2018

Del Duca, Vittorio
Journal of High Energy Physics, Vol. 2018, Issue 2
DOI: 10.1007/JHEP02(2018)112

Monte Carlo Solution to the Balitsky-Fadin-Kuraev-Lipatov Equation for Resummation in Perturbative QCD
journal, June 1997

Schmidt, Carl R.
Physical Review Letters, Vol. 78, Issue 24
DOI: 10.1103/physrevlett.78.4531

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

Wilson loop remainder function for null polygons in the limit of self-crossing
journal, May 2011

Dorn, Harald; Wuttke, Sebastian
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/jhep05(2011)114

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

Mathematical Aspects of Scattering Amplitudes
conference, November 2015

Duhr, Claude
2014 Theoretical Advanced Study Institute in Elementary Particle Physics, Journeys Through the Precision Frontier: Amplitudes for Colliders
DOI: 10.1142/9789814678766_0010

Y -system for scattering amplitudes
journal, November 2010

Alday, Luis F.; Maldacena, Juan; Sever, Amit
Journal of Physics A: Mathematical and Theoretical, Vol. 43, Issue 48
DOI: 10.1088/1751-8113/43/48/485401

Multiple jets at the LHC with high energy jets
journal, June 2011

Andersen, Jeppe R.; Smillie, Jennifer M.
Journal of High Energy Physics, Vol. 2011, Issue 6
DOI: 10.1007/JHEP06(2011)010

The ultra-violet finiteness of the N=4 Yang-Mills theory
journal, April 1983

Brink, Lars; Lindgren, Olof; E. W. Nilsson, Bengt
Physics Letters B, Vol. 123, Issue 5
DOI: 10.1016/0370-2693(83)91210-8

Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA
journal, August 2006

Fadin, V. S.; Fiore, R.; Kozlov, M. G.
Physics Letters B, Vol. 639, Issue 2
DOI: 10.1016/j.physletb.2006.03.031

Introduction to complex orbital momenta
journal, December 1959

Regge, T.
Il Nuovo Cimento, Vol. 14, Issue 5
DOI: 10.1007/bf02728177

A planar diagram theory for strong interactions
journal, April 1974

Hooft, G. 't
Nuclear Physics B, Vol. 72, Issue 3
DOI: 10.1016/0550-3213(74)90154-0

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

Principle of Equivalence for all Strongly Interacting Particles within the $S$ -Matrix Framework
journal, November 1961

Chew, Geoffrey F.; Frautschi, S. C.
Physical Review Letters, Vol. 7, Issue 10
DOI: 10.1103/physrevlett.7.394

Amplitude for $n$ -Gluon Scattering
journal, June 1986

Parke, Stephen J.; Taylor, T. R.
Physical Review Letters, Vol. 56, Issue 23
DOI: 10.1103/physrevlett.56.2459

Complex Angular Momenta and the Relation Between the Cross Sections of Various Processes at High Energies
journal, April 1962

Gribov, V. N.; Pomeranchuk, I. Ya.
Physical Review Letters, Vol. 8, Issue 8
DOI: 10.1103/PhysRevLett.8.343

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

Drummond, J. M.; Henn, J.; Korchemsky, G. P.
Nuclear Physics B, Vol. 815, Issue 1-2
DOI: 10.1016/j.nuclphysb.2009.02.015

On the pomeranchuk singularity in asymptotically free theories
journal, December 1975

Fadin, V. S.; Kuraev, E. A.; Lipatov, L. N.
Physics Letters B, Vol. 60, Issue 1
DOI: 10.1016/0370-2693(75)90524-9

The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004

Moch, S.; Vermaseren, J. A. M.; Vogt, A.
Nuclear Physics B, Vol. 688, Issue 1-2
DOI: 10.1016/j.nuclphysb.2004.03.030

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

Basso, Benjamin; Sever, Amit; Vieira, Pedro
Physical Review Letters, Vol. 111, Issue 9
DOI: 10.1103/physrevlett.111.091602

Exploring Reggeon bound states in strongly-coupled $$ \mathcal{N} $$ = 4 super Yang-Mills
journal, January 2022

Abl, Theresa; Sprenger, Martin
Journal of High Energy Physics, Vol. 2022, Issue 1
DOI: 10.1007/JHEP01(2022)021

Excited hexagon Wilson loops for strongly coupled $ \mathcal{N} = 4 $ SYM
journal, January 2011

Bartels, J.; Kotanski, J.; Schomerus, V.
Journal of High Energy Physics, Vol. 2011, Issue 1
DOI: 10.1007/JHEP01(2011)096

Four-loop collinear anomalous dimension inN=4Yang-Mills theory
journal, November 2007

Cachazo, Freddy; Spradlin, Marcus; Volovich, Anastasia
Physical Review D, Vol. 76, Issue 10
DOI: 10.1103/physrevd.76.106004

Resummation of non-global logarithms and the BFKL equation
journal, March 2018

Caron-Huot, Simon
Journal of High Energy Physics, Vol. 2018, Issue 3
DOI: 10.1007/JHEP03(2018)036

Polylogarithmes multiples uniformes en une variable
journal, April 2004

Brown, Francis C. S.
Comptes Rendus Mathematique, Vol. 338, Issue 7
DOI: 10.1016/j.crma.2004.02.001

The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
journal, February 2014

Del Duca, Vittorio; Dixon, Lance J.; Duhr, Claude
Journal of High Energy Physics, Vol. 2014, Issue 2
DOI: 10.1007/JHEP02(2014)086

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

Heptagon amplitude in the multi-Regge regime
journal, October 2014

Bartels, J.; Schomerus, V.; Sprenger, M.
Journal of High Energy Physics, Vol. 2014, Issue 10
DOI: 10.1007/JHEP10(2014)067

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

Drummond, J. M.; Korchemsky, G. P.; Sokatchev, E.
Nuclear Physics B, Vol. 795, Issue 1-2
DOI: 10.1016/j.nuclphysb.2007.11.041

BFKL spectrum of N $$ \mathcal{N} $$ = 4: non-zero conformal spin
journal, July 2018

Alfimov, Mikhail; Gromov, Nikolay; Sizov, Grigory
Journal of High Energy Physics, Vol. 2018, Issue 7
DOI: 10.1007/jhep07(2018)181

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

Analytic structure of the $n = 7$ scattering amplitude in $N = 4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
journal, February 2015

Bartels, Jochen; Kormilitzin, Andrey; Lipatov, Lev N.
Physical Review D, Vol. 91, Issue 4
DOI: 10.1103/physrevd.91.045005

MHV amplitude for <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:mn>3</mml:mn><mml:mo>→</mml:mo><mml:mn>3</mml:mn></mml:math> gluon scattering in Regge limit
journal, November 2011

Bartels, J.; Lipatov, L. N.; Prygarin, A.
Physics Letters B, Vol. 705, Issue 5
DOI: 10.1016/j.physletb.2011.09.061

Quark contribution to the gluon-gluon-reggeon vertex in QCD
journal, November 1992

Fadin, V.; Fiore, R.
Physics Letters B, Vol. 294, Issue 2
DOI: 10.1016/0370-2693(92)90696-2

Gluon Regge trajectory in the two-loop approximation
journal, October 1996

Fadin, V. S.; Fiore, R.; Kotsky, M. I.
Physics Letters B, Vol. 387, Issue 3
DOI: 10.1016/0370-2693(96)01054-4

Bootstrapping the QCD soft anomalous dimension
journal, September 2017

Almelid, Øyvind; Duhr, Claude; Gardi, Einan
Journal of High Energy Physics, Vol. 2017, Issue 9
DOI: 10.1007/JHEP09(2017)073

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

Dorn, Harald; Wuttke, Sebastian
Journal of High Energy Physics, Vol. 2012, Issue 4
DOI: 10.1007/JHEP04(2012)023

When does the gluon reggeize?
journal, May 2015

Caron-Huot, Simon
Journal of High Energy Physics, Vol. 2015, Issue 5
DOI: 10.1007/JHEP05(2015)093

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

Renormalization of the Wilson loops beyond the leading order
journal, January 1987

Korchemsky, G. P.; Radyushkin, A. V.
Nuclear Physics B, Vol. 283
DOI: 10.1016/0550-3213(87)90277-x

Regge meets collinear in strongly-coupled N = 4 $$ \mathcal{N}=4 $$ super Yang-Mills
journal, January 2017

Sprenger, Martin
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/JHEP01(2017)035

Multiple polylogarithms, cyclotomy and modular complexes
journal, January 1998

Goncharov, A. B.
Mathematical Research Letters, Vol. 5, Issue 4
DOI: 10.4310/mrl.1998.v5.n4.a7

Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge kinematics
journal, February 2017

Broedel, Johannes; Sprenger, Martin; Torres Orjuela, Alejandro
Nuclear Physics B, Vol. 915
DOI: 10.1016/j.nuclphysb.2016.12.016

Gluon scattering amplitudes at strong coupling
journal, June 2007

Alday, Luis F.; Maldacena, Juan
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/064

Analytic structure of the $n = 7$ scattering amplitude in $N = 4$ SYM theory in the multi-Regge kinematics: Conformal Regge pole contribution
journal, March 2014

Bartels, Jochen; Kormilitzin, Andrey; Lipatov, Lev N.
Physical Review D, Vol. 89, Issue 6
DOI: 10.1103/physrevd.89.065002

The principle of maximal transcendentality and the four-loop collinear anomalous dimension
journal, January 2018

Dixon, Lance J.
Journal of High Energy Physics, Vol. 2018, Issue 1
DOI: 10.1007/JHEP01(2018)075

Reggeization of Elementary Particles in Renormalizable Gauge Theories: Vectors and Spinors
journal, December 1973

Grisaru, Marcus T.; Schnitzer, Howard J.; Tsao, Hung-Sheng
Physical Review D, Vol. 8, Issue 12
DOI: 10.1103/physrevd.8.4498

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

Fadin, V. S.; Lipatov, L. N.
Physics Letters B, Vol. 706, Issue 4-5
DOI: 10.1016/j.physletb.2011.11.048

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

An effective field theory for forward scattering and factorization violation
journal, August 2016

Rothstein, Ira Z.; Stewart, Iain W.
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)025

Integrability of scattering amplitudes in N = 4 SUSY
journal, July 2009

Lipatov, L. N.
Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 30
DOI: 10.1088/1751-8113/42/30/304020

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

Caron-Huot, S.; He, Song
Journal of High Energy Physics, Vol. 2012, Issue 7
DOI: 10.1007/jhep07(2012)174

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

Light-cone superspace and the ultraviolet finiteness of the N=4 model
journal, March 1983

Mandelstam, Stanley
Nuclear Physics B, Vol. 213, Issue 1
DOI: 10.1016/0550-3213(83)90179-7

Reggeon cuts in QCD amplitudes with negative signature
journal, June 2018

Fadin, V. S.; Lipatov, L. N.
The European Physical Journal C, Vol. 78, Issue 6
DOI: 10.1140/epjc/s10052-018-5910-1

High-energy QCD amplitudes at two loops and beyond
journal, May 2014

Del Duca, Vittorio; Falcioni, Giulio; Magnea, Lorenzo
Physics Letters B, Vol. 732
DOI: 10.1016/j.physletb.2014.03.033

Production of jet pairs at large relative rapidity in hadron-hadron collisions as a probe of the perturbative pomeron
journal, July 1994

Stirling, W. J.
Nuclear Physics B, Vol. 423, Issue 1
DOI: 10.1016/0550-3213(94)90565-7

The high energy limit of QCD at two loops
journal, October 2001

Duca, Vittorio Del; Glover, E. W. Nigel
Journal of High Energy Physics, Vol. 2001, Issue 10
DOI: 10.1088/1126-6708/2001/10/035

Loop-space formalism and renormalization group for the infrared asymptotics of QCD
journal, May 1986

Korchemsky, G. P.; Radyushkin, A. V.
Physics Letters B, Vol. 171, Issue 4
DOI: 10.1016/0370-2693(86)91439-5

New dual conformally invariant off-shell integrals
journal, January 2008

Nguyen, Dung; Spradlin, Marcus; Volovich, Anastasia
Physical Review D, Vol. 77, Issue 2
DOI: 10.1103/physrevd.77.025018

Next-to-leading corrections to the BFKL equation from gluon and quark production
journal, October 1996

Fadin, V. S.; Lipatov, L. N.
Nuclear Physics B, Vol. 477, Issue 3
DOI: 10.1016/0550-3213(96)00334-3

Gauge theory webs and surfaces
journal, January 2015

Erdoğan, Ozan; Sterman, George
Physical Review D, Vol. 91, Issue 1
DOI: 10.1103/PhysRevD.91.016003

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

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

Georgiou, George
Journal of High Energy Physics, Vol. 2009, Issue 09
DOI: 10.1088/1126-6708/2009/09/021

All two-loop maximally helicity-violating amplitudes in multi-Regge kinematics from applied symbology
journal, April 2012

Prygarin, Alexander; Spradlin, Marcus; Vergu, Cristian
Physical Review D, Vol. 85, Issue 8
DOI: 10.1103/physrevd.85.085019

The Bethe roots of Regge cuts in strongly coupled N = 4 $$ \mathcal{N}=4 $$ SYM theory
journal, July 2015

Bartels, J.; Schomerus, V.; Sprenger, M.
Journal of High Energy Physics, Vol. 2015, Issue 7
DOI: 10.1007/JHEP07(2015)098

Logarithmic Factors in the High-Energy Behavior of Quantum Electrodynamics
journal, May 1970

Cheng, Hung; Wu, Tai Tsun
Physical Review D, Vol. 1, Issue 10
DOI: 10.1103/physrevd.1.2775

Single-Valued Motivic Periods and Multiple zeta Values
journal, April 2014

Brown, Francis
Forum of Mathematics, Sigma, Vol. 2
DOI: 10.1017/fms.2014.18

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

Caron-Huot, S.
Journal of High Energy Physics, Vol. 2011, Issue 12
DOI: 10.1007/JHEP12(2011)066

All two-loop MHV remainder functions in multi-Regge kinematics
journal, January 2019

Del Duca, Vittorio; Duhr, Claude; Dulat, Falko
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)162

Erratum to: All orders results for self-crossing Wilson loops mimicking double parton scattering
journal, August 2016

Dixon, Lance J.; Esterlis, Ilya
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/jhep08(2016)131

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

Caron-Huot, Simon; Dixon, Lance J.; Dulat, Falko
Journal of High Energy Physics, Vol. 2019, Issue 9
DOI: 10.1007/JHEP09(2019)061

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

Miraculous ultraviolet cancellations in supersymmetry made manifest
journal, April 1984

Howe, P. S.; Stelle, K. S.; Townsend, P. K.
Nuclear Physics B, Vol. 236, Issue 1
DOI: 10.1016/0550-3213(84)90528-5

Scattering amplitudes, Wilson loops and the string/gauge theory correspondence
journal, November 2008

Alday, Luis F.; Roiban, Radu
Physics Reports, Vol. 468, Issue 5
DOI: 10.1016/j.physrep.2008.08.002

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

Bern, Zvi; Dixon, Lance; Dunbar, David C.
Nuclear Physics B, Vol. 425, Issue 1-2
DOI: 10.1016/0550-3213(94)90179-1

Gribov's theorem on soft emission and the Raggeon-Reggeon-gluon vertex at small transverse momentum
journal, December 1996

Fadin, V. S.; Fiore, R.; Kotsky, M. I.
Physics Letters B, Vol. 389, Issue 4
DOI: 10.1016/s0370-2693(96)80017-7

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

Thermodynamic bubble ansatz
journal, September 2011

Alday, Luis F.; Gaiotto, Davide; Maldacena, Juan
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DOI: 10.1007/JHEP09(2011)032

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journal, April 2012

Basso, B.
Nuclear Physics B, Vol. 857, Issue 3
DOI: 10.1016/j.nuclphysb.2011.12.010

Anomalous dimensions of Wilson operators in N=4 SYM theory
journal, March 2003

Kotikov, A. V.; Lipatov, L. N.; Velizhanin, V. N.
Physics Letters B, Vol. 557, Issue 1-2
DOI: 10.1016/s0370-2693(03)00184-9

Integrable spin chains and scattering amplitudes
journal, October 2011

Bartels, J.; Lipatov, L. N.; Prygarin, A.
Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 45
DOI: 10.1088/1751-8113/44/45/454013

Two-parton scattering in the high-energy limit
journal, June 2017

Caron-Huot, Simon; Gardi, Einan; Vernazza, Leonardo
Journal of High Energy Physics, Vol. 2017, Issue 6
DOI: 10.1007/JHEP06(2017)016

Test of the Anti–de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators
journal, March 2007

Benna, M. K.; Benvenuti, S.; Klebanov, I. R.
Physical Review Letters, Vol. 98, Issue 13
DOI: 10.1103/physrevlett.98.131603

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

Relating amplitude and PDF factorisation through Wilson-line geometries
journal, November 2019

Falcioni, Giulio; Gardi, Einan; Milloy, Calum
Journal of High Energy Physics, Vol. 2019, Issue 11
DOI: 10.1007/jhep11(2019)100

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journal, September 2021

Agarwal, Bakul; von Manteuffel, Andreas; Panzer, Erik
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DOI: 10.1016/j.physletb.2021.136503

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journal, October 2017

Del Duca, Vittorio; Duhr, Claude; Marzucca, Robin
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)001

Three-loop leading singularities and Bern-Dixon-Smirnov ansatz for five particles
journal, October 2008

Spradlin, Marcus; Volovich, Anastasia; Wen, Congkao
Physical Review D, Vol. 78, Issue 8
DOI: 10.1103/physrevd.78.085025

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

Scattering amplitudes and Wilson loops in twistor space
journal, October 2011

Adamo, Tim; Bullimore, Mathew; Mason, Lionel
Journal of Physics A: Mathematical and Theoretical, Vol. 44, Issue 45
DOI: 10.1088/1751-8113/44/45/454008

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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

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

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

High energy asymptotics of multi-colour QCD and two-dimensional conformal field theories
journal, July 1993

Lipatov, L. N.
Physics Letters B, Vol. 309, Issue 3-4
DOI: 10.1016/0370-2693(93)90951-d

Reggeization of Yang-Mills Gauge Mesons in Theories with a Spontaneously Broken Symmetry
journal, April 1973

Grisaru, Marcus T.; Schnitzer, Howard J.; Tsao, Hung-Sheng
Physical Review Letters, Vol. 30, Issue 17
DOI: 10.1103/physrevlett.30.811

Balitsky-Fadin-Kuraev-Lipatov approximation versusO(αs3) corrections to large-rapidity dijet production
journal, March 1995

Del Duca, Vittorio; Schmidt, Carl R.
Physical Review D, Vol. 51, Issue 5
DOI: 10.1103/physrevd.51.2150

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Title: The SAGEX review on scattering amplitudes Chapter 15: The multi-Regge limit

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Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry journal, May 2011

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

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Elementary Particles of Conventional Field Theory as Regge Poles journal, September 1962

The six-point remainder function to all loop orders in the multi-Regge limit journal, January 2013

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

Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics journal, December 2021

Erratum to: γ∗γ∗ cross section at NLO and properties of the BFKL evolution at higher orders journal, August 2015

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

Classical Polylogarithms for Amplitudes and Wilson Loops journal, October 2010

γ * γ * cross section at NLO and properties of the BFKL evolution at higher orders journal, May 2014

JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes journal, September 2009

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Lifting heptagon symbols to functions journal, October 2020

BFKL approach and six-particle maximally helicity violating amplitude in N = 4 super Yang-Mills theory journal, June 2011

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

All orders results for self-crossing Wilson loops mimicking double parton scattering journal, July 2016

Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy journal, February 2015

The infrared structure of gauge theory amplitudes in the high-energy limit journal, December 2011

Fermionic Glauber operators and quark reggeization journal, February 2018

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Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space journal, November 2009

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Multi-Regge limit of the n-gluon bubble ansatz journal, November 2012

Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes journal, February 2010

Iterating QCD scattering amplitudes in the high-energy limit journal, February 2018

Monte Carlo Solution to the Balitsky-Fadin-Kuraev-Lipatov Equation for Resummation in Perturbative QCD journal, June 1997

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

Wilson loop remainder function for null polygons in the limit of self-crossing journal, May 2011

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

Mathematical Aspects of Scattering Amplitudes conference, November 2015

Y -system for scattering amplitudes journal, November 2010

Multiple jets at the LHC with high energy jets journal, June 2011

The ultra-violet finiteness of the N=4 Yang-Mills theory journal, April 1983

Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA journal, August 2006

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A planar diagram theory for strong interactions journal, April 1974

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Principle of Equivalence for all Strongly Interacting Particles within the S -Matrix Framework journal, November 1961

Amplitude for n -Gluon Scattering journal, June 1986

Complex Angular Momenta and the Relation Between the Cross Sections of Various Processes at High Energies journal, April 1962

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

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Bootstrapping the QCD soft anomalous dimension journal, September 2017

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

The Multi-Regge limit of NMHV amplitudes in N=4 SYM theory
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Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
journal, March 2022

Erratum to: “DGLAP and BFKL equations in the N=4 supersymmetric gauge theory”
journal, May 2004

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

Solution of the NLO BFKL equation and a strategy for solving the all-order BFKL equation
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Particularities of the NNLLA BFKL
conference, January 2017

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

Dijet production at hadron-hadron colliders in the Balitskii-Fadin-Kuraev-Lipatov approach
journal, November 1997

Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
journal, May 2011

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

The two-loop symbol of all multi-Regge regions
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On planar gluon amplitudes/Wilson loops duality
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Feynman rules for effective Regge action
journal, August 2005

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

Six-Gluon amplitudes in planar N$$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops
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BFKL approach and $2 \to 5$ maximally helicity violating amplitude in $N = 4$ super-Yang-Mills theory
journal, September 2012

MHV amplitudes in super-Yang–Mills and Wilson Loops
journal, May 2008

Elementary Particles of Conventional Field Theory as Regge Poles
journal, September 1962

The six-point remainder function to all loop orders in the multi-Regge limit
journal, January 2013

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

Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics
journal, December 2021

Erratum to: γ∗γ∗ cross section at NLO and properties of the BFKL evolution at higher orders
journal, August 2015

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

Classical Polylogarithms for Amplitudes and Wilson Loops
journal, October 2010

γ * γ * cross section at NLO and properties of the BFKL evolution at higher orders
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JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
journal, September 2009

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

Lifting heptagon symbols to functions
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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
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All orders results for self-crossing Wilson loops mimicking double parton scattering
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Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
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The infrared structure of gauge theory amplitudes in the high-energy limit
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Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
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Multi-Regge limit of the n-gluon bubble ansatz
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Iterating QCD scattering amplitudes in the high-energy limit
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Monte Carlo Solution to the Balitsky-Fadin-Kuraev-Lipatov Equation for Resummation in Perturbative QCD
journal, June 1997

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

Wilson loop remainder function for null polygons in the limit of self-crossing
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Multiple zeta values and periods of moduli spaces $\overline{\mathfrak{M}}_{0,n}$
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Mathematical Aspects of Scattering Amplitudes
conference, November 2015

Y -system for scattering amplitudes
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The ultra-violet finiteness of the N=4 Yang-Mills theory
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Amplitude for $n$ -Gluon Scattering
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Hexagon Wilson loop = six-gluon MHV amplitude
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Spacetime and Flux Tube $S$ -Matrices at Finite Coupling for $N = 4$ Supersymmetric Yang-Mills Theory
journal, August 2013

Exploring Reggeon bound states in strongly-coupled $$ \mathcal{N} $$ = 4 super Yang-Mills
journal, January 2022

Excited hexagon Wilson loops for strongly coupled $ \mathcal{N} = 4 $ SYM
journal, January 2011

Four-loop collinear anomalous dimension inN=4Yang-Mills theory
journal, November 2007

Resummation of non-global logarithms and the BFKL equation
journal, March 2018

Polylogarithmes multiples uniformes en une variable
journal, April 2004

The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
journal, February 2014

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

Heptagon amplitude in the multi-Regge regime
journal, October 2014

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

BFKL spectrum of N $$ \mathcal{N} $$ = 4: non-zero conformal spin
journal, July 2018

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

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

Analytic structure of the $n = 7$ scattering amplitude in $N = 4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
journal, February 2015

Quark contribution to the gluon-gluon-reggeon vertex in QCD
journal, November 1992

Gluon Regge trajectory in the two-loop approximation
journal, October 1996

Bootstrapping the QCD soft anomalous dimension
journal, September 2017

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

When does the gluon reggeize?
journal, May 2015

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

Renormalization of the Wilson loops beyond the leading order
journal, January 1987