The principle of maximal transcendentality and the four-loop collinear anomalous dimension

Dixon, Lance J.

doi:10.1007/jhep01(2018)075

The principle of maximal transcendentality and the four-loop collinear anomalous dimension

Journal Article · Mon Jan 15 23:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2018)075· OSTI ID:1419976

^[1]

SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)

Here, we use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar N = 4 super-Yang-Mills theory from recent QCD results, obtaining $$\hat{g}$$$$(4)\atop{0}$$ =$$-$$300ζ₇$$-$$256ζ₂ζ₅$$-$$384ζ₃ζ₄. This value agrees with a previous numerical result to within 0.2%. It also provides the Regge trajectory, threshold soft anomalous dimension and rapidity anomalous dimension through four loops.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE; Munich Institute for Astro-and Particle Physics (MIAPP)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1419976

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (96)

Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills Alday, Luis F.; Henn, Johannes; Plefka, Jan Journal of High Energy Physics, Vol. 2010, Issue 1 https://doi.org/10.1007/JHEP01(2010)077	journal	January 2010
Dual-conformal regularization of infrared loop divergences and the chiral box expansion Bourjaily, Jacob; Caron-Huot, Simon; Trnka, Jaroslav Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)001	journal	January 2015
The five-loop beta function of Yang-Mills theory with fermions Herzog, F.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)090	journal	February 2017
An analytic result for the two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A. Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)099	journal	March 2010
Four-loop photon quark form factor and cusp anomalous dimension in the large-N c limit of QCD Henn, Johannes; Lee, Roman N.; Smirnov, Alexander V. Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)139	journal	March 2017
Higgs-regularized three-loop four-gluon amplitude in $ \mathcal{N} = 4 $ SYM: exponentiation and Regge limits Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J. Journal of High Energy Physics, Vol. 2010, Issue 4 https://doi.org/10.1007/JHEP04(2010)038	journal	April 2010
The two-loop hexagon Wilson loop in $ \mathcal{N} = 4 $ SYM Del Duca, Vittorio; Duhr, Claude; Smirnov, Vladimir A. Journal of High Energy Physics, Vol. 2010, Issue 5 https://doi.org/10.1007/JHEP05(2010)084	journal	May 2010
Simple loop integrals and amplitudes in $ \mathcal{N} = 4 $ SYM Drummond, James M.; Henn, Johannes M. Journal of High Energy Physics, Vol. 2011, Issue 5 https://doi.org/10.1007/JHEP05(2011)105	journal	May 2011
Analytic two-loop form factors in $ \mathcal{N} = 4 $ SYM Brandhuber, Andreas; Travaglini, Gabriele; Yang, Gang Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)082	journal	May 2012
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory Chiu, Jui-Yu; Jain, Ambar; Neill, Duff Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)084	journal	May 2012
A planar four-loop form factor and cusp anomalous dimension in QCD Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A. Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)066	journal	May 2016
Calculation of the quark and gluon form factors to three loops in QCD Gehrmann, T.; Glover, E. W. N.; Huber, T. Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)094	journal	June 2010
The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory Dixon, Lance J.; Drummond, James M.; Duhr, Claude Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)116	journal	June 2014
More loops and legs in Higgs-regulated $$ \mathcal{N} = 4 $$ SYM amplitudes Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J. Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)002	journal	August 2010
The SU(2\|3) dynamic two-loop form factors Brandhuber, A.; Kostacinska, M.; Penante, B. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)134	journal	August 2016
On-shell methods for the two-loop dilatation operator and finite remainders Loebbert, Florian; Nandan, Dhritiman; Sieg, Christoph Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)012	journal	October 2015
Four-loop non-singlet splitting functions in the planar limit and beyond Moch, S.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)041	journal	October 2017
Bootstrapping the three-loop hexagon Dixon, Lance J.; Drummond, James M.; Henn, Johannes M. Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)023	journal	November 2011
Form factors and scattering amplitudes in $ \mathcal{N} = 4 $ SYM in dimensional and massive regularizations Henn, Johannes M.; Moch, Sven; Naculich, Stephen G. Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)024	journal	December 2011
Hexagon functions and the three-loop remainder function Dixon, Lance J.; Drummond, James M.; von Hippel, Matt Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)049	journal	December 2013
Two-loop SL(2) form factors and maximal transcendentality Loebbert, Florian; Sieg, Christoph; Wilhelm, Matthias Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)090	journal	December 2016
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. Letters in Mathematical Physics, Vol. 99, Issue 1-3 https://doi.org/10.1007/s11005-011-0529-2	journal	October 2011
Exponentiation of eikonal cross sections in nonabelian gauge theories Gatheral, J. G. M. Physics Letters B, Vol. 133, Issue 1-2 https://doi.org/10.1016/0370-2693(83)90112-0	journal	December 1983
Double logarithmic asymptotics in QCD Korchemsky, G. P. Physics Letters B, Vol. 217, Issue 3 https://doi.org/10.1016/0370-2693(89)90876-9	journal	January 1989
Infrared factorization, Wilson lines and the heavy quark limit Korchemsky, G. P.; Radyushkin, A. V. Physics Letters B, Vol. 279, Issue 3-4 https://doi.org/10.1016/0370-2693(92)90405-S	journal	April 1992
Supersymmetry, supergravity theories and the dual spinor model Gliozzi, F.; Scherk, J.; Olive, D. Nuclear Physics B, Vol. 122, Issue 2 https://doi.org/10.1016/0550-3213(77)90206-1	journal	April 1977
Supersymmetric Yang-Mills theories Brink, Lars; Schwarz, John H.; Scherk, J. Nuclear Physics B, Vol. 121, Issue 1 https://doi.org/10.1016/0550-3213(77)90328-5	journal	March 1977
Non-abelian eikonal exponentiation Frenkel, J.; Taylor, J. C. Nuclear Physics B, Vol. 246, Issue 2 https://doi.org/10.1016/0550-3213(84)90294-3	journal	November 1984
Renormalization of the Wilson loops beyond the leading order Korchemsky, G. P.; Radyushkin, A. V. Nuclear Physics B, Vol. 283 https://doi.org/10.1016/0550-3213(87)90277-X	journal	January 1987
Multi-loop amplitudes and resummation Sterman, George; Tejeda-Yeomans, Maria E. Physics Letters B, Vol. 552, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)03100-3	journal	January 2003
Anomalous dimensions of Wilson operators in N=4 SYM theory Kotikov, A. V.; Lipatov, L. N.; Velizhanin, V. N. Physics Letters B, Vol. 557, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00184-9	journal	March 2003
The singular behaviour of QCD amplitudes at two-loop order Catani, Stefano Physics Letters B, Vol. 427, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00332-3	journal	May 1998
DGLAP and BFKL equations in the N=4 supersymmetric gauge theory Kotikov, A. V.; Lipatov, L. N. Nuclear Physics B, Vol. 661, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00264-5	journal	June 2003
The dilatation operator of conformal super-Yang–Mills theory Beisert, N.; Kristjansen, C.; Staudacher, M. Nuclear Physics B, Vol. 664, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00406-1	journal	August 2003
Threshold resummation for dijet cross sections Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George Nuclear Physics B, Vol. 525, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00243-0	journal	August 1998
Evolution of color exchange in QCD hard scattering Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George Nuclear Physics B, Vol. 531, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00441-6	journal	October 1998
The three-loop splitting functions in QCD: the non-singlet case Moch, S.; Vermaseren, J. A. M.; Vogt, A. Nuclear Physics B, Vol. 688, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.03.030	journal	June 2004
Two-loop corrections to Higgs boson production Ravindran, V.; Smith, J.; van Neerven, W. L. Nuclear Physics B, Vol. 704, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.10.039	journal	January 2005
Regge behavior of gluon scattering amplitudes in SYM theory Naculich, Stephen G.; Schnitzer, Howard J. Nuclear Physics B, Vol. 794, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.10.026	journal	May 2008
MHV amplitudes in super-Yang–Mills and Wilson Loops Brandhuber, Andreas; Heslop, Paul; Travaglini, Gabriele Nuclear Physics B, Vol. 794, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.11.002	journal	May 2008
On planar gluon amplitudes/Wilson loops duality Drummond, J. M.; Henn, J.; Korchemsky, G. P. Nuclear Physics B, Vol. 795, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.11.007	journal	May 2008
Conformal properties of four-gluon planar amplitudes and Wilson loops Drummond, J. M.; Korchemsky, G. P.; Sokatchev, E. Nuclear Physics B, Vol. 795, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.11.041	journal	May 2008
Hexagon Wilson loop = six-gluon MHV amplitude Drummond, J. M.; Henn, J.; Korchemsky, G. P. Nuclear Physics B, Vol. 815, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2009.02.015	journal	July 2009
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes Drummond, J. M.; Henn, J.; Korchemsky, G. P. Nuclear Physics B, Vol. 826, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2009.10.013	journal	February 2010
Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang–Mills model Kotikov, A. V.; Lipatov, L. N.; Onishchenko, A. I. Physics Letters B, Vol. 595, Issue 1-4 https://doi.org/10.1016/j.physletb.2004.05.078	journal	August 2004
Three-loop results for quark and gluon form factors Moch, S.; Vermaseren, J. A. M.; Vogt, A. Physics Letters B, Vol. 625, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.08.067	journal	October 2005
Beyond cusp anomalous dimension from integrability Fioravanti, Davide; Grinza, Paolo; Rossi, Marco Physics Letters B, Vol. 675, Issue 1 https://doi.org/10.1016/j.physletb.2009.03.053	journal	May 2009
The Bethe-ansatz for Script N = 4 super Yang-Mills Minahan, Joseph A.; Zarembo, Konstantin Journal of High Energy Physics, Vol. 2003, Issue 03 https://doi.org/10.1088/1126-6708/2003/03/013	journal	March 2003
The quark form factor at higher orders Moch, Sven-Olaf; Vermaseren, Jozef Antoon M.; Vogt, Andreas Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/049	journal	August 2005
Gluon scattering amplitudes at strong coupling Alday, Luis F.; Maldacena, Juan Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/064	journal	June 2007
Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy Duca, Vittorio Del; Glover, E. W. N. Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/056	journal	May 2008
Dynamical threshold enhancement and resummation in Drell-Yan production Becher, Thomas; Neubert, Matthias; Xu, Gang Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/030	journal	July 2008
Universal structure of subleading infrared poles in gauge theory amplitudes Dixon, Lance J.; Magnea, Lorenzo; Sterman, George Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/022	journal	August 2008
Dressing and wrapping Kotikov, A. V.; Lipatov, L. N.; Rej, A. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10 https://doi.org/10.1088/1742-5468/2007/10/P10003	journal	October 2007
Dressing and wrapping Kotikov, A. V.; Lipatov, L. N.; Rej, A. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10 https://doi.org/10.1088/1742-5468/2007/10/p10003	journal	October 2007
Classical Polylogarithms for Amplitudes and Wilson Loops Goncharov, A. B.; Spradlin, M.; Vergu, C. Physical Review Letters, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevLett.105.151605	journal	October 2010
Spacetime and Flux Tube S -Matrices at Finite Coupling for N = 4 Supersymmetric Yang-Mills Theory Basso, Benjamin; Sever, Amit; Vieira, Pedro Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.091602	journal	August 2013
Quantum Spectral Curve for Planar N = 4 Super-Yang-Mills Theory Gromov, Nikolay; Kazakov, Vladimir; Leurent, Sébastien Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.011602	journal	January 2014
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew Physical Review Letters, Vol. 117, Issue 24 https://doi.org/10.1103/PhysRevLett.117.241601	journal	December 2016
Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation Li, Ye; Zhu, Hua Xing Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/PhysRevLett.118.022004	journal	January 2017
Correspondence between Soft and Rapidity Anomalous Dimensions Vladimirov, Alexey A. Physical Review Letters, Vol. 118, Issue 6 https://doi.org/10.1103/PhysRevLett.118.062001	journal	February 2017
Higgs Amplitudes from N = 4 Supersymmetric Yang-Mills Theory Brandhuber, Andreas; Kostacińska, Martyna; Penante, Brenda Physical Review Letters, Vol. 119, Issue 16 https://doi.org/10.1103/PhysRevLett.119.161601	journal	October 2017
One-loop corrections to five-gluon amplitudes Bern, Zvi; Dixon, Lance; Kosower, David A. Physical Review Letters, Vol. 70, Issue 18 https://doi.org/10.1103/PhysRevLett.70.2677	journal	May 1993
Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation Li, Ye; Zhu, Hua Xing Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/physrevlett.118.022004	journal	January 2017
Sudakov Form Factors Collins, John C. Perturbative QCD https://doi.org/10.1142/9789814503266_0006	book	July 1989
Harmonic Polylogarithms Remiddi, E.; Vermaseren, J. A. M. International Journal of Modern Physics A, Vol. 15, Issue 05 https://doi.org/10.1142/S0217751X00000367	journal	February 2000
Four-loop non-singlet splitting functions in the planar limit and beyond Moch, S.; Ruijl, B.; Ueda, T. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-11693	text	January 2017
Dynamical Threshold Enhancement and Resummation in Drell-Yan Production Becher, Thomas; Neubert, Matthias; Xu, Gang arXiv https://doi.org/10.48550/arxiv.0710.0680	text	January 2007
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes Drummond, J. M.; Henn, J.; Korchemsky, G. P. arXiv https://doi.org/10.48550/arxiv.0712.1223	text	January 2007
Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy Del Duca, V.; Glover, E. W. N. arXiv https://doi.org/10.48550/arxiv.0802.4445	text	January 2008
Hexagon Wilson loop = six-gluon MHV amplitude Drummond, J. M.; Henn, J.; Korchemsky, G. P. arXiv https://doi.org/10.48550/arxiv.0803.1466	text	January 2008
Universal structure of subleading infrared poles in gauge theory amplitudes Dixon, Lance J.; Magnea, Lorenzo; Sterman, George arXiv https://doi.org/10.48550/arxiv.0805.3515	text	January 2008
Beyond cusp anomalous dimension from integrability Fioravanti, Davide; Grinza, Paolo; Rossi, Marco arXiv https://doi.org/10.48550/arxiv.0901.3161	text	January 2009
Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits Henn, Johannes M.; Naculich, Stephen G.; Schnitzer, Howard J. arXiv https://doi.org/10.48550/arxiv.1001.1358	text	January 2010
Classical Polylogarithms for Amplitudes and Wilson Loops Goncharov, Alexander B.; Spradlin, Marcus; Vergu, C. arXiv https://doi.org/10.48550/arxiv.1006.5703	text	January 2010
Review of AdS/CFT Integrability: An Overview Beisert, Niklas; Ahn, Changrim; Alday, Luis F. arXiv https://doi.org/10.48550/arxiv.1012.3982	text	January 2010
Bootstrapping the three-loop hexagon Dixon, Lance J.; Drummond, James M.; Henn, Johannes M. arXiv https://doi.org/10.48550/arxiv.1108.4461	text	January 2011
Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations Henn, Johannes M.; Moch, Sven; Naculich, Stephen G. arXiv https://doi.org/10.48550/arxiv.1109.5057	text	January 2011
A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory Chiu, Jui-yu; Jain, Ambar; Neill, Duff arXiv https://doi.org/10.48550/arxiv.1202.0814	text	January 2012
The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory Dixon, Lance J.; Drummond, James M.; Duhr, Claude arXiv https://doi.org/10.48550/arxiv.1402.3300	text	January 2014
The SU(2\|3) dynamic two-loop form factors Brandhuber, Andreas; Kostacinska, Martyna; Penante, Brenda arXiv https://doi.org/10.48550/arxiv.1606.08682	text	January 2016
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew arXiv https://doi.org/10.48550/arxiv.1609.00669	text	January 2016
Two-Loop SL(2) Form Factors and Maximal Transcendentality Loebbert, Florian; Sieg, Christoph; Wilhelm, Matthias arXiv https://doi.org/10.48550/arxiv.1610.06567	text	January 2016
Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD Henn, Johannes; Lee, Roman N.; Smirnov, Alexander V. arXiv https://doi.org/10.48550/arxiv.1612.04389	text	January 2016
The five-loop beta function of Yang-Mills theory with fermions Herzog, F.; Ruijl, B.; Ueda, T. arXiv https://doi.org/10.48550/arxiv.1701.01404	text	January 2017
The Three-Loop Splitting Functions in QCD: The Non-Singlet Case Moch, S.; Vermaseren, J. A. M.; Vogt, A. arXiv https://doi.org/10.48550/arxiv.hep-ph/0403192	text	January 2004
Three-Loop Results for Quark and Gluon Form Factors Moch, S.; Vermaseren, J. A. M.; Vogt, A. arXiv https://doi.org/10.48550/arxiv.hep-ph/0508055	text	January 2005
One-Loop Corrections to Five-Gluon Amplitudes Bern, Z.; Dixon, L.; Kosower, D. A. arXiv https://doi.org/10.48550/arxiv.hep-ph/9302280	text	January 1993
Threshold Resummation for Dijet Cross Sections Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George arXiv https://doi.org/10.48550/arxiv.hep-ph/9801268	text	January 1998
The Singular Behaviour of QCD Amplitudes at Two-loop Order Catani, Stefano arXiv https://doi.org/10.48550/arxiv.hep-ph/9802439	text	January 1998
Evolution of Color Exchange in QCD Hard Scattering Kidonakis, Nikolaos; Oderda, Gianluca; Sterman, George arXiv https://doi.org/10.48550/arxiv.hep-ph/9803241	text	January 1998
Harmonic Polylogarithms Remiddi, E.; Vermaseren, J. A. M. arXiv https://doi.org/10.48550/arxiv.hep-ph/9905237	text	January 1999
Calculation of the quark and gluon form factors to three loops in QCD Gehrmann, T.; Glover, E. W. N.; Huber, T. Springer https://doi.org/10.5167/uzh-41363	text	January 2010
Correspondence between Soft and Rapidity Anomalous Dimensions Vladimirov, Alexey A. Universität Regensburg https://doi.org/10.5283/epub.38701	text	January 2017
A planar four-loop form factor and cusp anomalous dimension in QCD Henn, J. M.; Smirnov, A. V.; Smirnov, V. A. Karlsruhe https://doi.org/10.5445/ir/1000055380	text	January 2016
Four-loop photon quark form factor and cusp anomalous dimension in the large-Nc limit of QCD Henn, J.; Lee, R. N.; Smirnov, A. V. Karlsruhe https://doi.org/10.5445/ir/1000069141	text	January 2017

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