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We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant and an arbitrary number of fermion representations.
A. A. Vladimirov, Method for Computing Renormalization Group Functions in Dimensional Renormalization Scheme , Theor. Math. Phys. 43
1980
Earlier work this paper cites.
K. G. Chetyrkin and V. A. Smirnov, R* OPERATION CORRECTED , Phys. Lett. B144
1984
Earlier work this paper cites.
A. Denner, H. Eck, O. Hahn and J. Kublbeck, Feynman rules for fermion number violating interactions , Nucl. Phys. B387
1992
Earlier work this paper cites.
P. Nogueira, Automatic Feynman graph generation , J. Comput. Phys. 105
1993
Earlier work this paper cites.
A. I. Davydychev and J. B. Tausk, Two loop selfenergy diagrams with different masses and the momentum expansion , Nucl. Phys. B397
1993
Earlier work this paper cites.
M. Misiak and M. Münz, Two loop mixing of dimension five flavor changing operators , Phys. Lett. B344
1995
Earlier work this paper cites.
H. Suman and K. Schilling, First lattice study of ghost propagators in SU(2) and SU(3) gauge theories , Phys. Lett. B373
1996
Earlier work this paper cites.
T. van Ritbergen, J. Vermaseren and S. Larin, The Four loop beta function in quantum chromodynamics , Phys. Lett. B400
1997
Earlier work this paper cites.
J. A. M. Vermaseren, S. A. Larin and T. van Ritbergen, The 4-loop quark mass anomalous dimension and the invariant quark mass , Phys. Lett. B405
1997
Earlier work this paper cites.
K. G. Chetyrkin, Quark mass anomalous dimension to 𝒪 ( α s 4 ) {\cal O}(\alpha_{s}^{4}) , Phys. Lett. B404
1997
Earlier work this paper cites.
L. Clavelli, P. W. Coulter and L. R. Surguladze, Gluino contribution to the three loop beta function in the minimal supersymmetric standard model , Phys. Rev. D55
1997
Earlier work this paper cites.
R. Harlander, T. Seidensticker and M. Steinhauser, Complete corrections of Order alpha alpha-s to the decay of the Z boson into bottom quarks , Phys.Lett. B426
1998
Earlier work this paper cites.
K. G. Chetyrkin, M. Misiak and M. Münz, Beta functions and anomalous dimensions up to three loops , Nucl. Phys. B518
1998
Earlier work this paper cites.
D. Becirevic, P. Boucaud, J. P. Leroy, J. Micheli, O. Pene, J. Rodriguez-Quintero et al., Asymptotic behavior of the gluon propagator from lattice QCD , Phys. Rev. D60
1999
Cited alongside, same era.
hep-ph/9905298
T. Seidensticker, Automatic application of successive asymptotic expansions of Feynman diagrams , in 6th International Workshop on New Computing Techniques in Physics Research: Software Engineering, Artificial Intelligence Neural Nets, Genetic Algorithms, Symbolic Algebra, Automatic Calculation (AIHENP 99) Heraklion, Crete, Greece, April 12-16, 1999 , 1999 · 1999
Cited alongside, same era.
T. Van Ritbergen, A. Schellekens and J. Vermaseren, Group theory factors for feynman diagrams , International Journal of Modern Physics A 14
1999
Cited alongside, same era.
K. G. Chetyrkin and A. Retey, Renormalization and running of quark mass and field in the regularization invariant and MS-bar schemes at three loops and four loops , Nucl. Phys. B583
2000
Cited alongside, same era.
M. Tentyukov and J. A. M. Vermaseren, The Multithreaded version of FORM , Comput. Phys. Commun. 181
2010
Later among the works it cites.
2012
Later among the works it cites.
M. Zoller, Three-loop beta function for the Higgs self-coupling , PoS LL2014
2014
Later among the works it cites.
A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction , Comput.Phys.Commun. 189
2014
Later among the works it cites.
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2000
Cited alongside, same era.
D. Becirevic, P. Boucaud, J. P. Leroy, J. Micheli, O. Pene, J. Rodriguez-Quintero et al., Gluon propagator, triple gluon vertex and the QCD coupling constant , Nucl. Phys. Proc. Suppl. 83
2000
Cited alongside, same era.
M. Steinhauser, MATAD: A program package for the computation of massive tadpoles , Comput. Phys. Commun. 134
2001
Cited alongside, same era.
Y. Schröder, Automatic reduction of four loop bubbles , Nucl.Phys.Proc.Suppl. 116
2003
Cited alongside, same era.
F. Di Renzo, A. Mantovi, V. Miccio and Y. Schröder, 3-d lattice qcd free energy to four loops , JHEP 05
2004
Cited alongside, same era.
K. Chetyrkin, Four-loop renormalization of QCD: Full set of renormalization constants and anomalous dimensions , Nucl.Phys. B710
2005
Cited alongside, same era.
M. Czakon, The Four-loop QCD beta-function and anomalous dimensions , Nucl.Phys. B710
2005
Cited alongside, same era.
A. Smirnov, Algorithm FIRE – Feynman Integral REduction , JHEP 0810
2008
Cited alongside, same era.
2015
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2015
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