The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy

Del Duca, Vittorio; Druc, Stefan; Drummond, James; Duhr, Claude; Dulat, Falko; Marzucca, Robin; Papathanasiou, Georgios; Verbeek, Bram

doi:10.1007/jhep06(2018)116

Title: The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy

Abstract

We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2 → 5 amplitude in planar N = 4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N -particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.

Authors:

Del Duca, Vittorio ^[1]; Druc, Stefan ^[2]; Drummond, James ^[2]; Duhr, Claude ^[3]; Dulat, Falko ^[4]; Marzucca, Robin ^[5]; Papathanasiou, Georgios ^[6]; Verbeek, Bram ^[5]

Swiss Federal Inst. of Technology in Zurich (ETH Zurich) (Switzerland). Inst. for Theoretical Physics
Univ. of Southampton (United Kingdom). School of Physics & Astronomy
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.; Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium). Center for Cosmology, Particle Physics and Phenomenology (CP3)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). DESY Theory Group

Publication Date:: Thu Jun 21 00:00:00 EDT 2018

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Louvain (UCL), Louvain-la-Neuve (Belgium); European Organization for Nuclear Research (CERN), Geneva (Switzerland)

Sponsoring Org.:: USDOE; European Research Council (ERC)

OSTI Identifier:: 1443996

Report Number(s):: SLAC-PUB-17220
Journal ID: ISSN 1029-8479; PII: 8482; TRN: US1900952

Grant/Contract Number:: AC02-76SF00515; 637019; 648630

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: 2018; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N expansion; extended supersymmetry; scattering amplitudes; supersymmetric gauge theory

Citation Formats


                    Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, and Verbeek, Bram. The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep06(2018)116.

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                    Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, & Verbeek, Bram. The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy.  United States.  https://doi.org/10.1007/jhep06(2018)116

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                    Del Duca, Vittorio, Druc, Stefan, Drummond, James, Duhr, Claude, Dulat, Falko, Marzucca, Robin, Papathanasiou, Georgios, and Verbeek, Bram. Thu .  
"The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy".  United States.  https://doi.org/10.1007/jhep06(2018)116.  https://www.osti.gov/servlets/purl/1443996.

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@article{osti_1443996,

  title        = {The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy},

  author       = {Del Duca, Vittorio and Druc, Stefan and Drummond, James and Duhr, Claude and Dulat, Falko and Marzucca, Robin and Papathanasiou, Georgios and Verbeek, Bram},

  abstractNote = {We present an all-loop dispersion integral, well-defined to arbitrary logarithmic accuracy, describing the multi-Regge limit of the 2 → 5 amplitude in planar N = 4 super Yang-Mills theory. It follows from factorization, dual conformal symmetry and consistency with soft limits, and specifically holds in the region where the energies of all produced particles have been analytically continued. After promoting the known symbol of the 2-loop N -particle MHV amplitude in this region to a function, we specialize to N = 7, and extract from it the next-to-leading order (NLO) correction to the BFKL central emission vertex, namely the building block of the dispersion integral that had not yet appeared in the well-studied six-gluon case. As an application of our results, we explicitly compute the seven-gluon amplitude at next-to-leading logarithmic accuracy through 5 loops for the MHV case, and through 3 and 4 loops for the two independent NMHV helicity configurations, respectively.},

  doi          = {10.1007/jhep06(2018)116},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 6,

  volume       = 2018,

  place        = {United States},

  year         = {Thu Jun 21 00:00:00 EDT 2018},

  month        = {Thu Jun 21 00:00:00 EDT 2018}

}

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DOI: 10.1007/JHEP01(2014)091

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

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

Heptagons from the Steinmann Cluster Bootstrap
text, January 2017

Dixon, Lance J.; Drummond, James; Harrington, Thomas
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2017-00889

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

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

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

Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
journal, January 2002

Bauer, Christian; Frink, Alexander; Kreckel, Richard
Journal of Symbolic Computation, Vol. 33, Issue 1
DOI: 10.1006/jsco.2001.0494

Bootstrapping an NMHV amplitude through three loops
text, January 2014

Dixon, Lance J.; von Hippel, Matt
arXiv
DOI: 10.48550/arxiv.1408.1505

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

Systematics of the Multi-Regge Three-Loop Symbol
text, January 2016

Bargheer, Till
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2016-02553

Symbolic expansion of transcendental functions
journal, June 2002

Weinzierl, Stefan
Computer Physics Communications, Vol. 145, Issue 3
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The birth of string theory
journal, June 2016

Itoyama, H.
Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 6
DOI: 10.1093/ptep/ptw063

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

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

Del Duca, V.; Druc, S.; Drummond, J. M.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2020-01808

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

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

Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker
arXiv
DOI: 10.48550/arxiv.1906.00990

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

The multi-Regge limit of the eight-particle amplitude beyond leading logarithmic accuracy
journal, July 2019

Marzucca, Robin; Verbeek, Bram
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/jhep07(2019)039

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

Del Duca, Vittorio; Druc, S.; Drummond, James M.
ETH Zurich
DOI: 10.3929/ethz-b-000412664

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

Drummond, James; Foster, Jack; Gürdoğan, Ömer
arXiv
DOI: 10.48550/arxiv.1812.04640

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

Del Duca, V.; Druc, S.; Drummond, J. M.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2020-00194

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

Strings and High Energy Scattering
text, January 2018

Bartels, Jochen; Moch, Sven-Olaf; Schomerus, Volker
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-00782/a3

All two-loop MHV remainder functions in multi-Regge kinematics
text, January 2018

Del Duca, Vittorio; Duhr, Claude; Dulat, Falko
arXiv
DOI: 10.48550/arxiv.1811.10398

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text (1)

Title: The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy

Abstract

Citation Formats

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

Heptagons from the Steinmann cluster bootstrap journal, February 2017

Iterated amplitudes in the high-energy limit text, January 2008

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

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

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

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

The two-loop symbol of all multi-Regge regions text, January 2016

Soft triple-real radiation for Higgs production at N3LO text, January 2013

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

Iterated amplitudes in the high-energy limit journal, December 2008

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

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

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

The Two-Loop Symbol of all Multi-Regge Regions text, January 2015

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

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

Systematics of the multi-Regge three-loop symbol journal, November 2017

Nested sums, expansion of transcendental functions, and multiscale multiloop integrals journal, June 2002

Systematics of the multi-Regge three-loop symbol text, January 2017

Heptagons from the Steinmann Cluster Bootstrap text, January 2016

Supersymmetric Yang-Mills theories journal, March 1977

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

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

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

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes text, January 2012

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

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

Mathematical Aspects of Scattering Amplitudes conference, November 2015

Comments on gluon scattering amplitudes via AdS/CFT text, January 2007

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations text, January 2016

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

OPE for all Helicity Amplitudes text, January 2014

Systematics of the Multi-Regge Three-Loop Symbol text, January 2016

-XSummer- Transcendental functions and symbolic summation in Form journal, May 2006

A planar diagram theory for strong interactions journal, April 1974

Uniqueness of two-loop master contours journal, October 2012

Wilson loop OPE, analytic continuation and multi-Regge limit text, January 2014

Pulling the straps of polygons journal, December 2011

Review of AdS/CFT Integrability, Chapter III.4: Twist States and the Cusp Anomalous Dimension journal, March 2011

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

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

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

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

Pulling the straps of polygons text, January 2011

Graphical functions and single-valued multiple polylogarithms preprint, January 2013

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

Motivic amplitudes and cluster coordinates text, January 2014

Bootstrapping the three-loop hexagon text, January 2011

Boundaries of amplituhedra and NMHV symbol alphabets at two loops journal, April 2018

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

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes text, January 2012

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

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

Bootstrapping an NMHV amplitude through three loops journal, October 2014

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

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

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

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

Classical Polylogarithms for Amplitudes and Wilson Loops text, January 2010

Uniqueness of two-loop master contours text, January 2012

When does the gluon reggeize? journal, May 2015

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

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

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

Analytic properties of high-energy production amplitudes in N=4 susy journal, February 2012

Gluon scattering amplitudes at strong coupling journal, June 2007

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

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

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

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

An Operator Product Expansion for Polygonal null Wilson Loops text, January 2010

Bootstrapping the three-loop hexagon journal, November 2011

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

Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space preprint, January 2015

Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops text, January 2017

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

Heptagons from the Steinmann cluster bootstrap
journal, February 2017

Iterated amplitudes in the high-energy limit
text, January 2008

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

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

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

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

The two-loop symbol of all multi-Regge regions
text, January 2016

Soft triple-real radiation for Higgs production at N3LO
text, January 2013

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

Iterated amplitudes in the high-energy limit
journal, December 2008

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

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

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

The Two-Loop Symbol of all Multi-Regge Regions
text, January 2015

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

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

Systematics of the multi-Regge three-loop symbol
journal, November 2017

Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
journal, June 2002

Systematics of the multi-Regge three-loop symbol
text, January 2017

Heptagons from the Steinmann Cluster Bootstrap
text, January 2016

Supersymmetric Yang-Mills theories
journal, March 1977

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

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

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

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
text, January 2012

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

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

Mathematical Aspects of Scattering Amplitudes
conference, November 2015

Comments on gluon scattering amplitudes via AdS/CFT
text, January 2007

Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
text, January 2016

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

OPE for all Helicity Amplitudes
text, January 2014

Systematics of the Multi-Regge Three-Loop Symbol
text, January 2016

-XSummer- Transcendental functions and symbolic summation in Form
journal, May 2006

A planar diagram theory for strong interactions
journal, April 1974

Uniqueness of two-loop master contours
journal, October 2012

Wilson loop OPE, analytic continuation and multi-Regge limit
text, January 2014

Pulling the straps of polygons
journal, December 2011

Review of AdS/CFT Integrability, Chapter III.4: Twist States and the Cusp Anomalous Dimension
journal, March 2011

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

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

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

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

Pulling the straps of polygons
text, January 2011

Graphical functions and single-valued multiple polylogarithms
preprint, January 2013

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

Motivic amplitudes and cluster coordinates
text, January 2014

Bootstrapping the three-loop hexagon
text, January 2011

Boundaries of amplituhedra and NMHV symbol alphabets at two loops
journal, April 2018

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

Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
text, January 2012

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

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

Bootstrapping an NMHV amplitude through three loops
journal, October 2014

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

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

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

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

Classical Polylogarithms for Amplitudes and Wilson Loops
text, January 2010

Uniqueness of two-loop master contours
text, January 2012

When does the gluon reggeize?
journal, May 2015

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

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

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

Analytic properties of high-energy production amplitudes in N=4 susy
journal, February 2012

Gluon scattering amplitudes at strong coupling
journal, June 2007

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

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

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

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

An Operator Product Expansion for Polygonal null Wilson Loops
text, January 2010

Bootstrapping the three-loop hexagon
journal, November 2011

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

Six-point remainder function in multi-Regge-kinematics: an efficient approach in momentum space
preprint, January 2015

Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops
text, January 2017

Soft triple-real radiation for Higgs production at N3LO
journal, July 2013

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

The Two-Loop Symbol of all Multi-Regge Regions
text, January 2015