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R. N. Lee, A. V. Smirnov, V. A. Smirnov, and M. Steinhauser, Four-loop quark form factor with quartic fundamental colour factor
Original
1901
Earlier work this paper cites.
J. M. Henn, T. Peraro, M. Stahlhofen, and P. Wasser, Matter dependence of the four-loop cusp anomalous dimension
Original
1901
Earlier work this paper cites.
R. Brüser, A. Grozin, J. M. Henn, and M. Stahlhofen, Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
Original
1902
Earlier work this paper cites.
A. von Manteuffel and R. M. Schabinger, Quark and gluon form factors in four loop QCD: the N f 2 N_{f}^{2} and N q γ N f N_{q\gamma}N_{f} contributions
Original
1902
Earlier work this paper cites.
S. D. Drell and T.-M. Yan, Massive Lepton Pair Production in Hadron-Hadron Collisions at High-Energies
1970
Earlier work this paper cites.
F. Wilczek, Decays of Heavy Vector Mesons Into Higgs Particles
1977
Earlier work this paper cites.
H. M. Georgi, S. L. Glashow, M. E. Machacek, and D. V. Nanopoulos, Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions
1978
Earlier work this paper cites.
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Remarks on Higgs Boson Interactions with Nucleons
1978
Earlier work this paper cites.
J. R. Ellis, M. K. Gaillard, D. V. Nanopoulos, and C. T. Sachrajda, Is the Mass of the Higgs Boson About 10-GeV?
1979
Earlier work this paper cites.
T. Inami, T. Kubota, and Y. Okada, Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays
1983
Earlier work this paper cites.
R. J. Gonsalves, Dimensionally regularized two-loop on-shell quark form factor
1983
Earlier work this paper cites.
L. Magnea and G. F. Sterman, Analytic continuation of the Sudakov form-factor in QCD
1990
Earlier work this paper cites.
J. A. M. Vermaseren, Axodraw
1994
Earlier work this paper cites.
O. V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension
1996
Earlier work this paper cites.
C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language
2002
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, DGLAP and BFKL equations in the 𝒩 = 4 \mathcal{N}=4 supersymmetric gauge theory
2004
Earlier work this paper cites.

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Then

E. Panzer, Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
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2015
Later among the works it cites.
A. von Manteuffel, E. Panzer, and R. M. Schabinger, On the Computation of Form Factors in Massless QCD with Finite Master Integrals
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Later among the works it cites.
J. M. Henn, A. V. Smirnov, V. A. Smirnov, and M. Steinhauser, A planar four-loop form factor and cusp anomalous dimension in QCD
Original
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Later among the works it cites.
arXiv:1605.08408
Original
B. Ruijl, T. Ueda, J. A. M. Vermaseren, J. Davies, and A. Vogt, First Forcer results on deep-inelastic scattering and related quantities · 2016
Later among the works it cites.
R. Boels, B. A. Kniehl, and G. Yang, Master integrals for the four-loop Sudakov form factor

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2019

Planar master integrals for four-loop form factors

von Manteuffel, Andreas, Schabinger, Robert M.

Understand

We present the complete set of planar master integrals relevant to the calculation of three-point functions in four-loop massless Quantum Chromodynamics.

Employing direct parametric integrations for a basis of finite integrals, we give analytic results for the Laurent expansion of conventional integrals in the parameter of dimensional regularization through to terms of weight eight.

Built on

R. N. Lee, A. V. Smirnov, V. A. Smirnov, and M. Steinhauser, Four-loop quark form factor with quartic fundamental colour factor
Original
1901
Earlier work this paper cites.
J. M. Henn, T. Peraro, M. Stahlhofen, and P. Wasser, Matter dependence of the four-loop cusp anomalous dimension
Original
1901
Earlier work this paper cites.
R. Brüser, A. Grozin, J. M. Henn, and M. Stahlhofen, Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
Original
1902
Earlier work this paper cites.
A. von Manteuffel and R. M. Schabinger, Quark and gluon form factors in four loop QCD: the N f 2 N_{f}^{2} and N q γ N f N_{q\gamma}N_{f} contributions
Original
1902
Earlier work this paper cites.
S. D. Drell and T.-M. Yan, Massive Lepton Pair Production in Hadron-Hadron Collisions at High-Energies
1970
Earlier work this paper cites.
F. Wilczek, Decays of Heavy Vector Mesons Into Higgs Particles
1977
Earlier work this paper cites.
H. M. Georgi, S. L. Glashow, M. E. Machacek, and D. V. Nanopoulos, Higgs Bosons from Two-Gluon Annihilation in Proton-Proton Collisions
1978
Earlier work this paper cites.
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Remarks on Higgs Boson Interactions with Nucleons
1978
Earlier work this paper cites.
J. R. Ellis, M. K. Gaillard, D. V. Nanopoulos, and C. T. Sachrajda, Is the Mass of the Higgs Boson About 10-GeV?
1979
Earlier work this paper cites.
T. Inami, T. Kubota, and Y. Okada, Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays
1983
Earlier work this paper cites.
R. J. Gonsalves, Dimensionally regularized two-loop on-shell quark form factor
1983
Earlier work this paper cites.
L. Magnea and G. F. Sterman, Analytic continuation of the Sudakov form-factor in QCD
1990
Earlier work this paper cites.
J. A. M. Vermaseren, Axodraw
1994
Earlier work this paper cites.
O. V. Tarasov, Connection between Feynman integrals having different values of the space-time dimension
1996
Earlier work this paper cites.
C. W. Bauer, A. Frink, and R. Kreckel, Introduction to the GiNaC framework for symbolic computation within the C++ programming language
2002
Earlier work this paper cites.
A. V. Kotikov and L. N. Lipatov, DGLAP and BFKL equations in the 𝒩 = 4 \mathcal{N}=4 supersymmetric gauge theory
2004
Earlier work this paper cites.

Similar

D. Binosi and L. Theussl, JaxoDraw: A Graphical user interface for drawing Feynman diagrams
2004
Cited alongside, same era.
S. Moch, J. A. M. Vermaseren, and A. Vogt, Three-loop results for quark and gluon form-factors
2005
Cited alongside, same era.
T. Gehrmann, T. Huber, and D. Maitre, Two-loop quark and gluon form-factors in dimensional regularisation
2005
Cited alongside, same era.
T. Gehrmann, G. Heinrich, T. Huber, and C. Studerus, Master integrals for massless three-loop form-factors: One-loop and two-loop insertions
2006
Cited alongside, same era.
G. Heinrich, T. Huber, and D. Maitre, Master integrals for fermionic contributions to massless three-loop form-factors
Original
2008
Cited alongside, same era.