Fetching the paper…
Reading the bibliography…
I discuss the matching relations for the running renormalizable parameters when the heavy particles (top quark, Higgs scalar, Z and W vector bosons) are simultaneously decoupled from the Standard Model.
C. G. Bollini and J. J. Giambiagi, “Lowest order divergent graphs in nu-dimensional space,” Phys. Lett. 40B
1972
Earlier work this paper cites.
J. F. Ashmore, “A Method of Gauge Invariant Regularization,” Lett. Nuovo Cim. 4
1972
Earlier work this paper cites.
G. M. Cicuta and E. Montaldi, “Analytic renormalization via continuous space dimension,” 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. B 44
1972
Earlier work this paper cites.
G. ’t Hooft, “Dimensional regularization and the renormalization group,” Nucl. Phys. B 61
1973
Earlier work this paper cites.
W. A. Bardeen, A. J. Buras, D. W. Duke and T. Muta, “Deep Inelastic Scattering Beyond the Leading Order in Asymptotically Free Gauge Theories,” Phys. Rev. D 18
1978
Earlier work this paper cites.
A. Sirlin, “Radiative Corrections in the S U ( 2 ) L × U ( 1 ) SU(2)_{L}\times U(1) Theory: A Simple Renormalization Framework,” Phys. Rev. D 22
1980
Earlier work this paper cites.
E. Braaten and J. P. Leveille, “Minimal Subtraction and Momentum Subtraction in QCD at Two Loop Order,” Phys. Rev. D 24
1981
Earlier work this paper cites.
See, for example, J. Fleischer and F. Jegerlehner, “Radiative Corrections to Higgs Decays in the Extended Weinberg-Salam Model,” Phys. Rev. D 23
1981
Earlier work this paper cites.
R. Tarrach, “The Pole Mass in Perturbative QCD,” Nucl. Phys. B 183
1981
Earlier work this paper cites.
S. Weinberg, “Effective Gauge Theories,” Phys. Lett. 91B
1981
Earlier work this paper cites.
O.V. Tarasov, “Anomalous Dimensions Of Quark Masses In Three Loop Approximation,” preprint JINR-P2-82-900, (1982), unpublished
1982
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization,” Nucl. Phys. B 222
1983
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings,” Nucl. Phys. B 236
1984
Earlier work this paper cites.
W. J. Marciano and A. Sirlin, “Radiative Corrections to Neutrino Induced Neutral Current Phenomena in the S U ( 2 ) L × U ( 1 ) SU(2)_{L}\times U(1) Theory,” Phys. Rev. D 22
1985
Earlier work this paper cites.
W. J. Marciano and A. Sirlin, “Testing the Standard Model by Precise Determinations of W ± W^{\pm} and Z Z Masses,” Phys. Rev. D 29
1985
Earlier work this paper cites.
I. Jack and H. Osborn, “General Background Field Calculations With Fermion Fields,” Nucl. Phys. B 249
1985
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings,” Nucl. Phys. B 249
1985
Earlier work this paper cites.
M. Bohm, H. Spiesberger and W. Hollik, “On the One Loop Renormalization of the Electroweak Standard Model and Its Application to Leptonic Processes,” Fortsch. Phys. 34
1986
Earlier work this paper cites.
A. Djouadi and C. Verzegnassi, “Virtual Very Heavy Top Effects in LEP / SLC Precision Measurements,” Phys. Lett. B 195
1987
Earlier work this paper cites.
A. Djouadi, “O( α α S \alpha\alpha_{S} ) Vacuum Polarization Functions of the Standard Model Gauge Bosons,” Nuovo Cim. A 100
1988
Earlier work this paper cites.
M. Consoli, W. Hollik and F. Jegerlehner, “The Effect of the Top Quark on the M W M_{W} - M Z M_{Z} Interdependence and Possible Decoupling of Heavy Fermions from Low-Energy Physics,” Phys. Lett. B 227
1989
Earlier work this paper cites.
B. A. Kniehl, “Two Loop Corrections to the Vacuum Polarizations in Perturbative QCD,” Nucl. Phys. B 347
1990
Earlier work this paper cites.
N. Gray, D. J. Broadhurst, W. Grafe and K. Schilcher, “Three Loop Relation of Quark MS ¯ \overline{{\rm MS}} and Pole Masses,” Z. Phys. C 48
1990
Earlier work this paper cites.
F. Halzen and B. A. Kniehl, “ Δ r \Delta r beyond one loop,” Nucl. Phys. B 353
1991
Earlier work this paper cites.
G. Degrassi, S. Fanchiotti and A. Sirlin, “Relations Between the On-shell and MS ¯ \overline{{\rm MS}} Frameworks and the M W M_{W} - M Z M_{Z} Interdependence,” Nucl. Phys. B 351
1991
Earlier work this paper cites.
C. Ford, I. Jack and D. R. T. Jones, “The Standard model effective potential at two loops,” Nucl. Phys. B 387
1992
Earlier work this paper cites.
W. J. Marciano and J. L. Rosner, “Atomic parity violation as a probe of new physics,” Phys. Rev. Lett. 65
1992
Earlier work this paper cites.
S. Fanchiotti, B. A. Kniehl and A. Sirlin, “Incorporation of QCD effects in basic corrections of the electroweak theory,” Phys. Rev. D 48
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. B 397
1994
Earlier work this paper cites.
L. Avdeev, J. Fleischer, S. Mikhailov and O. Tarasov, “ 𝒪 ( α α S 2 ) {\cal O}(\alpha\alpha_{S}^{2}) correction to the electroweak ρ \rho parameter,” Phys. Lett. B 336
1995
Earlier work this paper cites.
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, “Corrections of order 𝒪 ( G F M t 2 α S 2 ) {\cal O}(G_{F}M_{t}^{2}\alpha_{S}^{2}) to the ρ \rho parameter,” Phys. Lett. B 351
1995
Earlier work this paper cites.
K. G. Chetyrkin, J. H. Kühn and M. Steinhauser, “QCD corrections from top quark to relations between electroweak parameters to order α S 2 \alpha_{S}^{2} ,” Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
M. Beneke and V. M. Braun, “Naive nonAbelianization and resummation of fermion bubble chains,” Phys. Lett. B 348
1995
Earlier work this paper cites.
P. Ball, M. Beneke and V. M. Braun, “Resummation of (beta0 alpha-s)**n corrections in QCD: Techniques and applications to the tau hadronic width and the heavy quark pole mass,” Nucl. Phys. B 452
1995
Earlier work this paper cites.
R. Hempfling and B. A. Kniehl, “On the relation between the fermion pole mass and MS Yukawa coupling in the standard model,” Phys. Rev. D 51
1995
Earlier work this paper cites.
S. Eidelman and F. Jegerlehner, “Hadronic contributions to g − 2 g-2 of the leptons and to the effective fine structure constant α ( M Z 2 ) \alpha(M_{Z}^{2}) ,” Z. Phys. C 67
1995
Earlier work this paper cites.
H. Burkhardt and B. Pietrzyk, “Update of the hadronic contribution to the QED vacuum polarization,” Phys. Lett. B 356
1995
Earlier work this paper cites.
A. D. Martin and D. Zeppenfeld, “A Determination of the QED coupling at the Z pole,” Phys. Lett. B 345
1995
Earlier work this paper cites.
A. Djouadi and P. Gambino, “Electroweak gauge bosons selfenergies: Complete QCD corrections,” Phys. Rev. D 49
1996
Earlier work this paper cites.
G. Degrassi, P. Gambino and A. Vicini, “Two loop heavy top effects on the m Z − m W m_{Z}-m_{W} interdependence,” Phys. Lett. B 383
1996
Earlier work this paper cites.
T. van Ritbergen, J. A. M. Vermaseren and S. A. Larin, “The Four loop beta function in quantum chromodynamics,” Phys. Lett. B 400
1997
Earlier work this paper cites.
K. G. Chetyrkin, “Quark mass anomalous dimension to 𝒪 ( α S 4 CLOSE {\cal O}(\alpha_{S}^{4} ),” Phys. Lett. B 404
1997
Earlier work this paper cites.
J. A. M. Vermaseren, S. A. Larin and T. van Ritbergen, “The four loop quark mass anomalous dimension and the invariant quark mass,” Phys. Lett. B 405
1997
Earlier work this paper cites.
G. Degrassi, P. Gambino, M. Passera and A. Sirlin, “The Role of M W M_{W} in precision studies of the standard model,” Phys. Lett. B 418
1998
Cited alongside, same era.
M. Passera and A. Sirlin, “Radiative corrections to W W and quark propagators in the resonance region,” Phys. Rev. D 58
1998
Cited alongside, same era.
W. Bernreuther and W. Wetzel, “Decoupling of Heavy Quarks in the Minimal Subtraction Scheme,” Nucl. Phys. B 197
1998
Cited alongside, same era.
K. G. Chetyrkin, B. A. Kniehl and M. Steinhauser, “Decoupling relations to O( α S 3 \alpha_{S}^{3} ) and their connection to low-energy theorems,” Nucl. Phys. B 510
1998
Cited alongside, same era.
R. Alemany, M. Davier and A. Hocker, “Improved determination of the hadronic contribution to the muon g − 2 g-2 and to α ( M Z ) \alpha(M_{Z}) using new data from hadronic tau decays,” Eur. Phys. J. C 2
2012
Later among the works it cites.
2012
Later among the works it cites.
K. G. Chetyrkin and M. F. Zoller, “Three-loop β \beta -functions for top-Yukawa and the Higgs self-interaction in the Standard Model,” JHEP 1206
2012
Later among the works it cites.
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1998
Cited alongside, same era.
M. Davier and A. Hocker, “Improved determination of α ( M Z 2 ) \alpha(M_{Z}^{2}) and the anomalous magnetic moment of the muon,” Phys. Lett. B 419
1998
Cited alongside, same era.
J. H. Kühn and M. Steinhauser, “A Theory driven analysis of the effective QED coupling at M Z M_{Z} ,” Phys. Lett. B 437
1998
Cited alongside, same era.
M. Steinhauser, “Leptonic contribution to the effective electromagnetic coupling constant up to three loops,” Phys. Lett. B 429
1998
Cited alongside, same era.
K. G. Chetyrkin and M. Steinhauser, “Short distance mass of a heavy quark at order α S 3 \alpha_{S}^{3} ,” Phys. Rev. Lett. 83
1999
Cited alongside, same era.
J. Erler, “Calculation of the QED coupling α ( M Z ) \alpha(M_{Z}) in the modified minimal subtraction scheme,” Phys. Rev. D 59
1999
Cited alongside, same era.
K. G. Chetyrkin and M. Steinhauser, “The Relation between the MS ¯ \overline{{\rm MS}} and the on-shell quark mass at order α S 3 \alpha_{S}^{3} ,” Nucl. Phys. B 573
2000
Cited alongside, same era.
K. Melnikov and T. v. Ritbergen, “The Three loop relation between the MS-bar and the pole quark masses,” Phys. Lett. B 482
2000
Cited alongside, same era.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
K. G. Chetyrkin and M. F. Zoller, “ β \beta -function for the Higgs self-interaction in the Standard Model at three-loop level,” JHEP 1304
2013
Later among the works it cites.
A. V. Bednyakov, A. F. Pikelner and V. N. Velizhanin, “Higgs self-coupling beta-function in the Standard Model at three loops,” Nucl. Phys. B 875
2013
Later among the works it cites.
2014
Later among the works it cites.
S. P. Martin, “Taming the Goldstone contributions to the effective potential,” Phys. Rev. D 90
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
2015
Later among the works it cites.
A. Freitas, “Three-loop vacuum integrals with arbitrary masses,” JHEP 1611
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
S. P. Martin, “Effective potential at three loops,” Phys. Rev. D 96
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Closest in time.
2018
Closest in time.
M. Tanabashi et al
2018
Closest in time.