Fetching the paper…
Reading the bibliography…
This review provides a detailed introduction to chiral gauge theories, renormalization theory, and the application of dimensional regularization with the non-anticommuting BMHV scheme for $\gamma_5$.
E. P. Wigner, “On Unitary Representations of the Inhomogeneous Lorentz Group,” Annals Math
1939
Earlier work this paper cites.
N. N. Bogoliubov and O. S. Parasiuk, “On the Multiplication of the causal function in the quantum theory of fields,” Acta Math
1957
Earlier work this paper cites.
K. Hepp, “Proof of the Bogolyubov-Parasiuk theorem on renormalization,” Commun. Math. Phys
1966
Earlier work this paper cites.
L. D. Faddeev and V. N. Popov, “Feynman Diagrams for the Yang-Mills Field,” Phys. Lett. B
1967
Earlier work this paper cites.
S. L. Adler, “Axial vector vertex in spinor electrodynamics,” Phys. Rev
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. A
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
1969
Earlier work this paper cites.
W. Zimmermann, “Convergence of Bogolyubov’s method of renormalization in momentum space,” Commun. Math. Phys
1969
Earlier work this paper cites.
E. R. Speer and M. J. Westwater, “GENERIC FEYNMAN AMPLITUDES,” 6 1970
1970
Earlier work this paper cites.
Mathematics and its applications : a series of monographs and texts, Gordon and Breach, 1971
N. Nakanishi, Graph Theory and Feynman Integrals · 1971
Earlier work this paper cites.
J. H. Lowenstein, “Normal product quantization of currents in Lagrangian field theory,” Phys. Rev. D
1971
Earlier work this paper cites.
J. H. Lowenstein, “Differential vertex operations in Lagrangian field theory,” Commun. Math. Phys
1971
Earlier work this paper cites.
K. Hepp, “Renomalization theory,” in Les Houches Summer School of Theoretical Physics: Statistical mechanics and quantum field theory
1971
Earlier work this paper cites.
C. DeWitt and R. Stora, eds., Mécanique statistique et théorie quantique des champs: Proceedings, Ecole d’Eté de Physique Théorique, Les Houches, France, July 5-August 29, 1970
1971
Earlier work this paper cites.
G. ’t Hooft, “Renormalizable Lagrangians for Massive Yang-Mills Fields,” Nucl. Phys. B
1971
Earlier work this paper cites.
G. ’t Hooft, “Renormalization of Massless Yang-Mills Fields,” Nucl. Phys. B
1971
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, “Regularization and Renormalization of Gauge Fields,” Nucl. Phys. B
1972
Earlier work this paper cites.
C. G. Bollini and J. J. Giambiagi, “Dimensional Renormalization: The Number of Dimensions as a Regularizing Parameter,” Nuovo Cim. B
1972
Earlier work this paper cites.
J. F. Ashmore, “A Method of Gauge Invariant Regularization,” Lett. Nuovo Cim
1972
Earlier work this paper cites.
C. Bouchiat, J. Iliopoulos, and P. Meyer, “An Anomaly Free Version of Weinberg’s Model,” Phys. Lett. B
1972
Earlier work this paper cites.
D. J. Gross and R. Jackiw, “Effect of anomalies on quasirenormalizable theories,” Phys. Rev. D
1972
Earlier work this paper cites.
G. M. Cicuta and E. Montaldi, “Analytic renormalization via continuous space dimension,” Lett. Nuovo Cim
1972
Earlier work this paper cites.
[Erratum: Commun.Math.Phys. 25, 336 (1972)]
E. R. Speer, “On the structure of analytic renormalization,” Commun. Math. Phys · 1972
Earlier work this paper cites.
Y.-M. P. Lam, “Perturbation Lagrangian theory for scalar fields: Ward-Takahasi identity and current algebra,” Phys. Rev. D
1972
Earlier work this paper cites.
Y. M. P. Lam, “Perturbation lagrangian theory for dirac fields - ward-takahashi identity and current algebra,” Phys. Rev. D
1972
Earlier work this paper cites.
B. W. Lee and J. Zinn-Justin, “Spontaneously Broken Gauge Symmetries Part 1: Preliminaries,” Phys. Rev. D
1972
Earlier work this paper cites.
B. W. Lee and J. Zinn-Justin, “Spontaneously Broken Gauge Symmetries Part 3: Equivalence,” Phys. Rev. D
1972
Earlier work this paper cites.
R. Delbourgo and A. Salam, “The gravitational correction to pcac,” Phys. Lett. B
1972
Earlier work this paper cites.
D. A. Akyeampong and R. Delbourgo, “Dimensional regularization and PCAC,” Nuovo Cim. A
1973
Earlier work this paper cites.
D. A. Akyeampong and R. Delbourgo, “Dimensional regularization, abnormal amplitudes and anomalies,” Nuovo Cim. A
1973
Earlier work this paper cites.
K. G. Wilson, “Quantum field theory models in less than four-dimensions,” Phys. Rev. D
1973
Earlier work this paper cites.
S. A. Anikin, M. K. Polivanov, and O. I. Zavyalov, “SIMPLE PROOF OF THE BOGOLYUBOV-PARASIUK THEOREM,” Theor. Math. Phys
1973
Earlier work this paper cites.
Y.-M. P. Lam, “Equivalence theorem on Bogolyubov-Parasiuk-Hepp-Zimmermann renormalized Lagrangian field theories,” Phys. Rev. D
1973
Earlier work this paper cites.
H. Epstein and V. Glaser, “The Role of locality in perturbation theory,” Ann. Inst. H. Poincare Phys. Theor. A
1973
Earlier work this paper cites.
[Erratum: Phys.Rev.D 8, 4654 (1973)]
B. W. Lee and J. Zinn-Justin, “Spontaneously Broken Gauge Symmetries Part 2: Perturbation Theory and Renormalization,” Phys. Rev. D · 1973
Earlier work this paper cites.
B. W. Lee and J. Zinn-Justin, “Spontaneously Broken Gauge Symmetries Part 4: General Gauge Formulation,” Phys. Rev. D
1973
Earlier work this paper cites.
E. R. Speer, “Renormalization and ward identities using complex space-time dimension,” J. Math. Phys
1974
Earlier work this paper cites.
C. Becchi, A. Rouet, and R. Stora, “The Abelian Higgs-Kibble Model. Unitarity of the S Operator,” Phys. Lett. B
1974
Earlier work this paper cites.
M. C. Bergere and J. B. Zuber, “Renormalization of feynman amplitudes and parametric integral representation,” Commun. Math. Phys
1974
Earlier work this paper cites.
E. R. Speer, “The Convergence of BPH renormalization,” Commun. Math. Phys
1974
Earlier work this paper cites.
C. Becchi, A. Rouet, and R. Stora, “Renormalization of the Abelian Higgs-Kibble Model,” Commun. Math. Phys
1975
Earlier work this paper cites.
I. V. Tyutin, “Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism,” 1975
1975
Earlier work this paper cites.
C. Becchi, A. Rouet, and R. Stora, “Renormalization of Gauge Theories,” Annals Phys
1976
Earlier work this paper cites.
T. E. Clark and J. H. Lowenstein, “Generalization of Zimmermann’s Normal-Product Identity,” Nucl. Phys. B
1976
Earlier work this paper cites.
M. C. Bergere and Y.-M. P. Lam, “Bogolyubov-Parasiuk Theorem in the alpha Parametric Representation,” J. Math. Phys
1976
Earlier work this paper cites.
T. Eguchi and P. G. O. Freund, “Quantum Gravity and World Topology,” Phys. Rev. Lett
1976
Earlier work this paper cites.
P. Breitenlohner and D. Maison, “Dimensional Renormalization and the Action Principle,” Commun. Math. Phys
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
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
1977
Cited alongside, same era.
K. Fujikawa, “Path Integral Measure for Gauge Invariant Fermion Theories,” Phys. Rev. Lett
1979
Cited alongside, same era.
M. S. Chanowitz, M. Furman, and I. Hinchliffe, “The Axial Current in Dimensional Regularization,” Nucl. Phys. B
1979
Cited alongside, same era.
T. Kugo and I. Ojima, “Local Covariant Operator Formalism of Nonabelian Gauge Theories and Quark Confinement Problem,” Prog. Theor. Phys. Suppl
1979
Cited alongside, same era.
W. Siegel, “Supersymmetric Dimensional Regularization via Dimensional Reduction,” Phys. Lett. B
1979
Cited alongside, same era.
T. Binoth and G. Heinrich, “An automatized algorithm to compute infrared divergent multiloop integrals,” Nucl. Phys. B
2000
Later among the works it cites.
C. P. Martin and D. Sanchez-Ruiz, “Action principles, restoration of BRS symmetry and the renormalization group equation for chiral nonAbelian gauge theories in dimensional renormalization with a nonanticommuting gamma(5),” Nucl. Phys. B
2000
Later among the works it cites.
F. Jegerlehner, “Facts of life with gamma(5),” Eur. Phys. J. C
2001
Later among the works it cites.
S. Catani, S. Dittmaier, and Z. Trocsanyi, “One loop singular behavior of QCD and SUSY QCD amplitudes with massive partons,” Phys. Lett. B
2001
Later among the works it cites.
P. A. Grassi, T. Hurth, and M. Steinhauser, “Practical algebraic renormalization,” Annals Phys
2001
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K. Fujikawa, “Path Integral for Gauge Theories with Fermions,” Phys. Rev. D · 1980
Cited alongside, same era.
International Series In Pure and Applied Physics, New York: McGraw-Hill, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
Cited alongside, same era.
G. Bonneau, “Trace and Axial Anomalies in Dimensional Renormalization Through Zimmermann Like Identities,” Nucl. Phys. B
1980
Cited alongside, same era.
G. Bonneau, “ZIMMERMANN IDENTITIES AND RENORMALIZATION GROUP EQUATION IN DIMENSIONAL RENORMALIZATION,” Nucl. Phys. B
1980
Cited alongside, same era.
D. M. Capper, D. R. T. Jones, and P. van Nieuwenhuizen, “Regularization by Dimensional Reduction of Supersymmetric and Nonsupersymmetric Gauge Theories,” Nucl. Phys. B
1980
Cited alongside, same era.
W. Siegel, “Inconsistency of Supersymmetric Dimensional Regularization,” Phys. Lett. B
1980
Cited alongside, same era.
John Wiley & Sons, 1980
N. Bogolyubov and D. Shirkov, Introduction to the Theory of Quantized fields · 1980
Cited alongside, same era.
P. A. Grassi, T. Hurth, and M. Steinhauser, “The Algebraic method,” Nucl. Phys. B
2001
Later among the works it cites.
W. Hollik and D. Stockinger, “Regularization and supersymmetry restoring counterterms in supersymmetric QCD,” Eur. Phys. J. C
2001
Later among the works it cites.
W. Hollik, E. Kraus, M. Roth, C. Rupp, K. Sibold, and D. Stockinger, “Renormalization of the minimal supersymmetric standard model,” Nucl. Phys. B
2002
Later among the works it cites.
D. Sanchez-Ruiz, “BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a nonanticommuting gamma(5),” Phys. Rev. D
2003
Later among the works it cites.
V. A. Smirnov, “Evaluating Feynman integrals,” Springer Tracts Mod. Phys
2004
Later among the works it cites.
T. Binoth and G. Heinrich, “Numerical evaluation of multiloop integrals by sector decomposition,” Nucl. Phys. B
2004
Later among the works it cites.
I. Fischer, W. Hollik, M. Roth, and D. Stockinger, “Restoration of supersymmetric Slavnov-Taylor and Ward identities in presence of soft and spontaneous symmetry breaking,” Phys. Rev. D
2004
Later among the works it cites.
Cambridge University Press, 6 2005
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations · 2005
Later among the works it cites.
D. Stockinger, “Regularization by dimensional reduction: consistency, quantum action principle, and supersymmetry,” JHEP
2005
Later among the works it cites.
J. Smith and W. L. van Neerven, “The Difference between n-dimensional regularization and n-dimensional reduction in QCD,” Eur. Phys. J. C
2005
Later among the works it cites.
A. Signer and D. Stockinger, “Factorization and regularization by dimensional reduction,” Phys. Lett. B
2005
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
2006
Later among the works it cites.
W. Hollik and D. Stockinger, “MSSM Higgs-boson mass predictions and two-loop non-supersymmetric counterterms,” Phys. Lett. B
2006
Later among the works it cites.
Cambridge University Press, 1 2007
M. Srednicki, Quantum field theory · 2007
Later among the works it cites.
A. Signer and D. Stockinger, “Using Dimensional Reduction for Hadronic Collisions,” Nucl. Phys. B
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
2009
Later among the works it cites.
R. V. Harlander, L. Mihaila, and M. Steinhauser, “The SUSY-QCD beta function to three loops,” Eur. Phys. J. C
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
2010
Later among the works it cites.
W. B. Kilgore, “Regularization Schemes and Higher Order Corrections,” Phys. Rev. D
2011
Later among the works it cites.
Oxford University Press, 8 2012
A. Duncan, The Conceptual Framework of Quantum Field Theory · 2012
Later among the works it cites.
W. B. Kilgore, “The Four Dimensional Helicity Scheme Beyond One Loop,” Phys. Rev. D
2012
Later among the works it cites.
D. Stockinger and P. Varso, “FeynArts model file for MSSM transition counterterms from DREG to DRED,” Comput. Phys. Commun
2012
Later among the works it cites.
Cambridge University Press, 8 2013
S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications · 2013
Later among the works it cites.
M. Sperling, D. Stöckinger, and A. Voigt, “Renormalization of vacuum expectation values in spontaneously broken gauge theories,” JHEP
2013
Later among the works it cites.
M. Sperling, D. Stöckinger, and A. Voigt, “Renormalization of vacuum expectation values in spontaneously broken gauge theories: Two-loop results,” JHEP
2014
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
2016
Later among the works it cites.
G. Popineau and R. Stora, “A pedagogical remark on the main theorem of perturbative renormalization theory,” Nucl. Phys. B
2016
Later among the works it cites.
C. Gnendiger et al
2017
Later among the works it cites.
Cambridge University Press, 2018, 10th printing
M. D. Schwartz, Quantum Field Theory and the Standard Model · 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
2018
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
2018
Later among the works it cites.
D. Stöckinger and J. Unger, “Three-loop MSSM Higgs-boson mass predictions and regularization by dimensional reduction,” Nucl. Phys. B
2018
Later among the works it cites.
A. Blondel et al
2018
Later among the works it cites.
M. Neubert, “Renormalization Theory and Effective Field Theories,” 1 2019
2019
Later among the works it cites.
H. Bélusca-Maïto, A. Ilakovac, M. Mađor-Božinović, and D. Stöckinger, “Dimensional regularization and Breitenlohner-Maison/’t Hooft-Veltman scheme for γ 5 \gamma_{5} applied to chiral YM theories: full one-loop counterterm and RGE structure,” JHEP
2020
Later among the works it cites.
A. Denner and S. Dittmaier, “Electroweak Radiative Corrections for Collider Physics,” Phys. Rept
2020
Later among the works it cites.
H. Bélusca-Maïto, A. Ilakovac, P. Kühler, M. Mađor-Božinović, and D. Stöckinger, “Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ \gamma 5
2021
Later among the works it cites.
Oxford University Press, 4 2021
J. Zinn-Justin, Quantum field theory and critical phenomena · 2021
Later among the works it cites.
C. Cornella, F. Feruglio, and L. Vecchi, “Gauge Invariance and Finite Counterterms in Chiral Gauge Theories,” 5 2022
2022
Later among the works it cites.
H. Bélusca-Maïto, “Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED,” 8 2022
2022
Later among the works it cites.
H. Bélusca-Maïto, A. Ilakovac, M. Mađor-Božinović, P. Kühler, and D. Stöckinger, “Gamma5 in dimensional regularization - a no-compromise approach using the BMHV scheme,” PoS
2022
Later among the works it cites.
J. Fuentes-Martín, M. König, J. Pagès, A. E. Thomsen, and F. Wilsch, “Evanescent Operators in One-Loop Matching Computations,” 11 2022
2022
Later among the works it cites.
A. Carmona, A. Lazopoulos, P. Olgoso, and J. Santiago, “Matchmakereft: automated tree-level and one-loop matching,” SciPost Phys
2022
Later among the works it cites.