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We study the application of the Breitenlohner-Maison-'t Hooft-Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of chiral gauge theories, focusing on the specific counterterm structure required by the non-anticommuting Dirac $\gamma_5$ matrix and the breaking of the BRST invariance.
C. Poole and A. E. Thomsen, Weyl Consistency Conditions and γ 5 \gamma_{5} , Phys. Rev. Lett. 123
1901
Earlier work this paper cites.
N. Nakanishi, Covariant Quantization of the Electromagnetic Field in the Landau Gauge , Prog. Theor. Phys. 35
1966
Earlier work this paper cites.
B. Lautrup, Canonical Quantum Electrodynamics In Covariant Gauges , Kong. Dan. Vid. Sel. Mat. Fys. Med. 35
1967
Earlier work this paper cites.
S. L. Adler, Axial vector vertex in spinor electrodynamics , Phys. Rev. 177
1969
Earlier work this paper cites.
J. S. Bell and R. Jackiw, A PCAC puzzle: π 0 → γ γ \pi^{0}\to\gamma\gamma in the σ \sigma model , Nuovo Cim. A60
1969
Earlier work this paper cites.
S. L. Adler and W. A. Bardeen, Absence of higher order corrections in the anomalous axial vector divergence equation , Phys. Rev. 182
1969
Earlier work this paper cites.
J. H. Lowenstein, Normal product quantization of currents in Lagrangian field theory , Phys. Rev. D4
1971
Earlier work this paper cites.
G. Cicuta and E. Montaldi, Analytic renormalization via continuous space dimension , Lett. Nuovo Cim. 4
1972
Earlier work this paper cites.
C. Bollini and J. Giambiagi, Dimensional Renormalization: The Number of Dimensions as a Regularizing Parameter , Nuovo Cim. B 12
1972
Earlier work this paper cites.
J. Ashmore, A Method of Gauge Invariant Regularization , Lett. Nuovo Cim. 4
1972
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, Regularization and Renormalization of Gauge Fields , Nucl. Phys. B44
1972
Earlier work this paper cites.
D. Akyeampong and R. Delbourgo, Dimensional regularization, abnormal amplitudes and anomalies , Nuovo Cim. A 17
1973
Earlier work this paper cites.
D. Akyeampong and R. Delbourgo, Dimensional regularization and PCAC , Nuovo Cim. A 18
1973
Earlier work this paper cites.
W. Zimmermann, Composite operators in the perturbation theory of renormalizable interactions , Annals Phys. 77
1973
Earlier work this paper cites.
W. Zimmermann, Normal products and the short distance expansion in the perturbation theory of renormalizable interactions , Annals Phys. 77
1973
Earlier work this paper cites.
G. ’t Hooft, Dimensional regularization and the renormalization group , Nucl. Phys. B61
1973
Earlier work this paper cites.
D. Akyeampong and R. Delbourgo, Anomalies via dimensional regularization , Nuovo Cim. A 19
1974
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensional Renormalization of Massless Yang-Mills Theories , MPI-PAE-PTH-26-75, 1975
1975
Earlier work this paper cites.
1975
Earlier work this paper cites.
J. C. Collins, Normal Products in Dimensional Regularization , Nucl. Phys. B92
1975
Earlier work this paper cites.
C. Becchi, A. Rouet and R. Stora, Renormalization of Gauge Theories , Annals Phys. 98
1976
Earlier work this paper cites.
T. Marinucci and M. Tonin, Dimensional Regularization and Anomalies , Nuovo Cim. A 31
1976
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensional Renormalization and the Action Principle , Commun. Math. Phys. 52
1977
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensionally Renormalized Green’s Functions for Theories with Massless Particles. 1. , Commun. Math. Phys. 52
1977
Earlier work this paper cites.
P. Breitenlohner and D. Maison, Dimensionally Renormalized Green’s Functions for Theories with Massless Particles. 2. , Commun. Math. Phys. 52
1977
Earlier work this paper cites.
I. A. Batalin and G. A. Vilkovisky, Relativistic S Matrix of Dynamical Systems with Boson and Fermion Constraints , Phys. Lett. 69B
1977
Earlier work this paper cites.
M. S. Chanowitz, M. Furman and I. Hinchliffe, The Axial Current in Dimensional Regularization , Nucl. Phys. B159
1979
Earlier work this paper cites.
W. Siegel, Supersymmetric Dimensional Regularization via Dimensional Reduction , Phys. Lett. 84B
1979
Earlier work this paper cites.
P. Frampton, Conditions for Renormalizability of Quantum Flavor Dynamics , Phys. Rev. D 20
1979
Earlier work this paper cites.
G. Bonneau, Zimmermann Identities And Renormalization Group Equation In Dimensional Renormalization , Nucl. Phys. B167
1980
Earlier work this paper cites.
G. Bonneau, Trace and Axial Anomalies in Dimensional Renormalization Through Zimmermann Like Identities , Nucl. Phys. B171
1980
Earlier work this paper cites.
W. Siegel, Inconsistency of Supersymmetric Dimensional Regularization , Phys. Lett. 94B
1980
Earlier work this paper cites.
D. M. Capper, D. R. T. Jones and P. van Nieuwenhuizen, Regularization by Dimensional Reduction of Supersymmetric and Nonsupersymmetric Gauge Theories , Nucl. Phys. B167
1980
Earlier work this paper cites.
G. Bonneau, Consistency in Dimensional Regularization With γ 5 \gamma_{5} , Phys. Lett. 96B
1980
Earlier work this paper cites.
O. Piguet and A. Rouet, Symmetries in Perturbative Quantum Field Theory , Phys. Rept. 76
1981
Cited alongside, same era.
I. A. Batalin and G. A. Vilkovisky, Gauge Algebra and Quantization , Phys. Lett. 102B
1981
Cited alongside, same era.
M. E. Machacek and M. T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization , Nucl. Phys. B222
1983
Cited alongside, same era.
I. A. Batalin and G. A. Vilkovisky, Quantization of Gauge Theories with Linearly Dependent Generators , Phys. Rev. D28
1983
Cited alongside, same era.
M. E. Machacek and M. T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings , Nucl. Phys. B236
1984
Cited alongside, same era.
W. Hollik and D. Stöckinger, Regularization and supersymmetry restoring counterterms in supersymmetric QCD , Eur. Phys. J. C20
2001
Later among the works it cites.
D. Sanchez-Ruiz, BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting g a m m a 5 gamma_{5} , Phys. Rev. D68
2003
Later among the works it cites.
M.-x. Luo, H.-w. Wang and Y. Xiao, Two loop renormalization group equations in general gauge field theories , Phys. Rev. D67
2003
Later among the works it cites.
I. Fischer, W. Hollik, M. Roth and D. Stöckinger, Restoration of supersymmetric Slavnov-Taylor and Ward identities in presence of soft and spontaneous symmetry breaking , Phys. Rev. D69
2004
Later among the works it cites.
D. Stöckinger, Regularization by dimensional reduction: consistency, quantum action principle, and supersymmetry , JHEP 03
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M. E. Machacek and M. T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings , Nucl. Phys. B249
1985
Cited alongside, same era.
J. C. Collins, Renormalization , vol. 26 of Cambridge Monographs on Mathematical Physics . Cambridge University Press, Cambridge, 1986, 10.1017/CBO9780511622656
1986
Cited alongside, same era.
C. Schubert, The Yukawa Model as an Example for Dimensional Renormalization With γ 5 \gamma_{5} , Nucl. Phys. B323
1989
Cited alongside, same era.
D. Kreimer, The γ 5 \gamma_{5} Problem and Anomalies: A Clifford Algebra Approach , Phys. Lett. B237
1990
Cited alongside, same era.
R. Mertig, M. Bohm and A. Denner, FEYN CALC: Computer algebraic calculation of Feynman amplitudes , Comput. Phys. Commun. 64
1991
Cited alongside, same era.
J. G. Korner, D. Kreimer and K. Schilcher, A Practicable γ 5 \gamma_{5} scheme in dimensional regularization , Z. Phys. C54
1992
Cited alongside, same era.
A. Denner, H. Eck, O. Hahn and J. Kublbeck, Feynman rules for fermion number violating interactions , Nucl. Phys. B387
1992
Cited alongside, same era.
2005
Later among the works it cites.
R. Harlander, P. Kant, L. Mihaila and M. Steinhauser, Dimensional Reduction applied to QCD at three loops , JHEP 09
2006
Later among the works it cites.
R. V. Harlander, D. R. T. Jones, P. Kant, L. Mihaila and M. Steinhauser, Four-loop beta function and mass anomalous dimension in dimensional reduction , JHEP 12
2006
Later among the works it cites.
W. Hollik and D. Stöckinger, MSSM Higgs-boson mass predictions and two-loop non-supersymmetric counterterms , Phys. Lett. B634
2006
Later among the works it cites.
M. Srednicki, Quantum field theory . Cambridge University Press, 1, 2007
2007
Later among the works it cites.
D. Binosi and J. Papavassiliou, Pinch Technique: Theory and Applications , Phys. Rept. 479
2009
Later among the works it cites.
L. Mihaila, Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD , Phys. Lett. B 681
2009
Later among the works it cites.
H. K. Dreiner, H. E. Haber and S. P. Martin, Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry , Phys. Rept. 494
2010
Later among the works it cites.
2011
Later among the works it cites.
W. B. Kilgore, Regularization Schemes and Higher Order Corrections , Phys. Rev. D83
2011
Later among the works it cites.
2012
Later among the works it cites.
W. B. Kilgore, The Four Dimensional Helicity Scheme Beyond One Loop , Phys. Rev. D86
2012
Later among the works it cites.
2013
Later among the works it cites.
S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications . Cambridge University Press, 2013
2013
Later among the works it cites.
R. A. Fazio, P. Mastrolia, E. Mirabella and W. J. Torres Bobadilla, On the Four-Dimensional Formulation of Dimensionally Regulated Amplitudes , Eur. Phys. J. C74
2014
Later among the works it cites.
2016
Later among the works it cites.
M. F. Zoller, Top-Yukawa effects on the β \beta -function of the strong coupling in the SM at four-loop level , JHEP 02
2016
Later among the works it cites.
A. Broggio, C. Gnendiger, A. Signer, D. Stöckinger and A. Visconti, SCET approach to regularization-scheme dependence of QCD amplitudes , JHEP 01
2016
Later among the works it cites.
V. Shtabovenko, R. Mertig and F. Orellana, New Developments in FeynCalc 9.0 , Comput. Phys. Commun. 207
2016
Later among the works it cites.
C. Gnendiger et al., To d {d} , or not to d {d} : recent developments and comparisons of regularization schemes , Eur. Phys. J. C77
2017
Later among the works it cites.
K. Hieda, A. Kasai, H. Makino and H. Suzuki, 4D 𝒩 = 1 \mathcal{N}=1 SYM supercurrent in terms of the gradient flow , PTEP 2017
2017
Later among the works it cites.
V. Shtabovenko, FeynHelpers: Connecting FeynCalc to FIRE and Package-X , Comput. Phys. Commun. 218
2017
Later among the works it cites.
2017
Later among the works it cites.
A. M. Bruque, A. L. Cherchiglia and M. Pérez-Victoria, Dimensional regularization vs methods in fixed dimension with and without γ 5 \gamma_{5} , JHEP 08
2018
Later among the works it cites.
C. Gnendiger and A. Signer, γ 5 \gamma_{5} in the four-dimensional helicity scheme , Phys. Rev. D 97
2018
Later among the works it cites.
2018
Later among the works it cites.
2019
Later among the works it cites.
I. Schienbein, F. Staub, T. Steudtner and K. Svirina, Revisiting RGEs for general gauge theories , Nucl. Phys. B939
2019
Later among the works it cites.
N. Zerf, Fermion Traces Without Evanescence , Phys. Rev. D101
2020
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