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

Title: A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon

Abstract

Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. These are functions with physical branch cuts whose symbols may be written in terms of the 42 cluster A-coordinates on Gr(4, 7). Motivated by the success of the hexagon bootstrap programme for constructing six-particle amplitudes we initiate the systematic study of the symbols of heptagon functions. We find that there is exactly one such symbol of weight six which satisfies the MHV last-entry condition and is finite in the 7 ll 6 collinear limit. This unique symbol is both dihedral and parity-symmetric, and remarkably its collinear limit is exactly the symbol of the three-loop six-particle MHV amplitude, although none of these properties were assumed a priori. It must therefore be the symbol of the threeloop seven-particle MHV amplitude. The simplicity of its construction suggests that the n-gon bootstrap may be surprisingly powerful for n > 6.

Authors:
 [1];  [2];  [3]
  1. University of Southampton (United Kingdom). School of Physics & Astronomy; European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division, Physics Department
  2. Université de Savoie, Annecy-le-Vieux Cedex (France). LAPTh, CNRS
  3. Brown Univ., Providence, RI (United States)
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1454720
Grant/Contract Number:  
SC0010010
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: 2015; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory; Extended Supersymmetry; Scattering Amplitudes; 1/N Expansion

Citation Formats

Drummond, J. M., Papathanasiou, G., and Spradlin, M. A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon. United States: N. p., 2015. Web. doi:10.1007/JHEP03(2015)072.
Drummond, J. M., Papathanasiou, G., & Spradlin, M. A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon. United States. doi:https://doi.org/10.1007/JHEP03(2015)072
Drummond, J. M., Papathanasiou, G., and Spradlin, M. Mon . "A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon". United States. doi:https://doi.org/10.1007/JHEP03(2015)072. https://www.osti.gov/servlets/purl/1454720.
@article{osti_1454720,
title = {A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon},
author = {Drummond, J. M. and Papathanasiou, G. and Spradlin, M.},
abstractNote = {Seven-particle scattering amplitudes in planar super-Yang-Mills theory are believed to belong to a special class of generalised polylogarithm functions called heptagon functions. These are functions with physical branch cuts whose symbols may be written in terms of the 42 cluster A-coordinates on Gr(4, 7). Motivated by the success of the hexagon bootstrap programme for constructing six-particle amplitudes we initiate the systematic study of the symbols of heptagon functions. We find that there is exactly one such symbol of weight six which satisfies the MHV last-entry condition and is finite in the 7 ll 6 collinear limit. This unique symbol is both dihedral and parity-symmetric, and remarkably its collinear limit is exactly the symbol of the three-loop six-particle MHV amplitude, although none of these properties were assumed a priori. It must therefore be the symbol of the threeloop seven-particle MHV amplitude. The simplicity of its construction suggests that the n-gon bootstrap may be surprisingly powerful for n > 6.},
doi = {10.1007/JHEP03(2015)072},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2015,
place = {United States},
year = {2015},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 48 works
Citation information provided by
Web of Science

Save / Share:

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

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

Notes on the scattering amplitude — Wilson loop duality
journal, July 2011


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


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


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

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


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

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

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


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


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


Fast Solvers for Dense Linear Systems
journal, October 2008


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


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

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

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

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


Gaussian elimination is not optimal
journal, August 1969


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


Bootstrapping null polygon Wilson loops
journal, March 2011

  • Gaiotto, Davide; Maldacena, Juan; Sever, Amit
  • Journal of High Energy Physics, Vol. 2011, Issue 3
  • DOI: 10.1007/JHEP03(2011)092

Multichannel conformal blocks for polygon Wilson loops
journal, January 2012


Gluon scattering amplitudes at strong coupling
journal, June 2007


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

Analytic results for MHV Wilson loops
journal, November 2010

  • Heslop, Paul; Khoze, Valentin V.
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)035

An analytic result for the two-loop seven-point MHV amplitude in N $$ \mathcal{N} $$ = 4 SYM
journal, August 2014


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


Iterated path integrals
journal, January 1977


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


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

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


A two-loop octagon Wilson loop in $ \mathcal{N} = 4 $ SYM
journal, September 2010

  • Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A.
  • Journal of High Energy Physics, Vol. 2010, Issue 9
  • DOI: 10.1007/JHEP09(2010)015

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

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


Cluster algebras II: Finite type classification
journal, May 2003


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


Two-loop polygon Wilson loops in 𝒩 = 4 SYM
journal, May 2009


Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
journal, December 2003


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


The complete planar S-matrix of $ \mathcal{N} = 4 $ SYM as a Wilson loop in twistor space
journal, December 2010


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

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

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


Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory
journal, May 2009


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


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

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

Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
journal, August 2013


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


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


Amplitude for n -Gluon Scattering
journal, June 1986


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

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


Classical Polylogarithms for Amplitudes and Wilson Loops
journal, October 2010


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

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

A simple construction of Grassmannian polylogarithms
journal, July 2013


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

Yangians, Grassmannians and T-duality
journal, July 2010


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


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

Hexagon Wilson loop OPE and harmonic polylogarithms
journal, November 2013


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


A BLAS based C library for exact linear algebra on integer matrices
conference, January 2005

  • Chen, Zhuliang; Storjohann, Arne
  • Proceedings of the 2005 international symposium on Symbolic and algebraic computation - ISSAC '05
  • DOI: 10.1145/1073884.1073899

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

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

Cluster ensembles, quantization and the dilogarithm
journal, January 2009

  • Fock, Vladimir V.; Goncharov, Alexander B.
  • Annales scientifiques de l'École normale supérieure, Vol. 42, Issue 6
  • DOI: 10.24033/asens.2112

Heptagon amplitude in the multi-Regge regime
text, January 2014

  • Bartels, J.; Schomerus, V.; Sprenger, M.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2014-04099

    Works referencing / citing this record:

    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

    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

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


    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

    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

    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

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


    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

    All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit
    journal, April 2020


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


    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

    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

    Quantum gravity from conformal field theory
    journal, January 2018

    • Aprile, F.; Drummond, J. M.; Heslop, P.
    • Journal of High Energy Physics, Vol. 2018, Issue 1
    • DOI: 10.1007/jhep01(2018)035

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


    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

    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

    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

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

    • Prlina, I.; Spradlin, M.; Stankowicz, J.
    • Journal of High Energy Physics, Vol. 2018, Issue 4
    • DOI: 10.1007/jhep04(2018)049

    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

    All-helicity symbol alphabets from unwound amplituhedra
    journal, May 2018

    • Prlina, I.; Spradlin, M.; Stankowicz, J.
    • Journal of High Energy Physics, Vol. 2018, Issue 5
    • DOI: 10.1007/jhep05(2018)159

    Bootstrapping pentagon functions
    journal, May 2018

    • Chicherin, Dmitry; Henn, Johannes; Mitev, Vladimir
    • Journal of High Energy Physics, Vol. 2018, Issue 5
    • DOI: 10.1007/jhep05(2018)164

    Elliptic polylogarithms and Feynman parameter integrals
    journal, May 2019

    • Broedel, Johannes; Duhr, Claude; Dulat, Falko
    • Journal of High Energy Physics, Vol. 2019, Issue 5
    • DOI: 10.1007/jhep05(2019)120

    Non-planar on-shell diagrams
    journal, June 2015

    • Franco, Sebastián; Galloni, Daniele; Penante, Brenda
    • Journal of High Energy Physics, Vol. 2015, Issue 6
    • DOI: 10.1007/jhep06(2015)199

    Evidence for a nonplanar amplituhedron
    journal, June 2016

    • Bern, Zvi; Herrmann, Enrico; Litsey, Sean
    • Journal of High Energy Physics, Vol. 2016, Issue 6
    • DOI: 10.1007/jhep06(2016)098

    Prescriptive unitarity
    journal, June 2017

    • Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav
    • Journal of High Energy Physics, Vol. 2017, Issue 6
    • DOI: 10.1007/jhep06(2017)059

    Landau singularities from the amplituhedron
    journal, June 2017

    • Dennen, T.; Prlina, I.; Spradlin, M.
    • Journal of High Energy Physics, Vol. 2017, Issue 6
    • DOI: 10.1007/jhep06(2017)152

    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

    Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
    journal, August 2018

    • Broedel, Johannes; Duhr, Claude; Dulat, Falko
    • Journal of High Energy Physics, Vol. 2018, Issue 8
    • DOI: 10.1007/jhep08(2018)014

    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

    PolyLogTools — polylogs for the masses
    journal, August 2019


    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

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

    • Bourjaily, Jacob L.; Franco, Sebastián; Galloni, Daniele
    • Journal of High Energy Physics, Vol. 2016, Issue 10
    • DOI: 10.1007/jhep10(2016)003

    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

    Gravity on-shell diagrams
    journal, November 2016

    • Herrmann, Enrico; Trnka, Jaroslav
    • Journal of High Energy Physics, Vol. 2016, Issue 11
    • DOI: 10.1007/jhep11(2016)136

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

    • Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron
    • Journal of High Energy Physics, Vol. 2019, Issue 12
    • DOI: 10.1007/jhep12(2019)073

    Gluing Ladder Feynman Diagrams into Fishnets
    journal, August 2017


    Full-Color Two-Loop Four-Gluon Amplitude in N = 2 Supersymmetric QCD
    journal, December 2019


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


    The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
    text, January 2018

    • Del Duca, Vittorio; Druc, Stefan; Drummond, James
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-02259