Built on

G. ’t Hooft and M. J. G. Veltman, Regularization and Renormalization of Gauge Fields , Nucl. Phys. B44
1972
Earlier work this paper cites.
G. ’t Hooft, Dimensional regularization and the renormalization group , Nucl. Phys. B61
1973
Earlier work this paper cites.
A. Vladimirov, Method for Computing Renormalization Group Functions in Dimensional Renormalization Scheme , Theor.Math.Phys. 43
1980
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. B249
1985
Earlier work this paper cites.
H. E. Haber and R. Hempfling, The Renormalization group improved Higgs sector of the minimal supersymmetric model , Phys. Rev. D48
1993
Earlier work this paper cites.
F. J. Botella and J. P. Silva, Jarlskog - like invariants for theories with scalars and fermions , Phys. Rev. D51
1995
Earlier work this paper cites.
M. Tentyukov and J. Fleischer, A Feynman diagram analyzer DIANA , Comput.Phys.Commun. 132
2000
Earlier work this paper cites.
M. Steinhauser, MATAD: A Program package for the computation of MAssive TADpoles , Comput.Phys.Commun. 134
2001
Earlier work this paper cites.
M.-x. Luo, H.-w. Wang and Y. Xiao, Two loop renormalization group equations in general gauge field theories , Phys. Rev. D67
2003
Earlier work this paper cites.
I. P. Ivanov, Two-Higgs-doublet model from the group-theoretic perspective , Phys. Lett. B632
2006
Earlier work this paper cites.
I. F. Ginzburg, Necessity of mixed kinetic term in the description of general system with identical scalar fields , Phys. Lett. B682
Original
2009
Earlier work this paper cites.
E. E. Jenkins and A. V. Manohar, Algebraic Structure of Lepton and Quark Flavor Invariants and CP Violation , JHEP 10
Original
2009
Earlier work this paper cites.
A. Hanany, N. Mekareeya and G. Torri, The Hilbert Series of Adjoint SQCD , Nucl. Phys. B825
Original
2010
Earlier work this paper cites.
A. Hanany, E. E. Jenkins, A. V. Manohar and G. Torri, Hilbert Series for Flavor Invariants of the Standard Model , JHEP 03
Original
2011
Earlier work this paper cites.

Similar

L. N. Mihaila, J. Salomon and M. Steinhauser, Gauge Coupling Beta Functions in the Standard Model to Three Loops , Phys.Rev.Lett. 108
Original
2012
Cited alongside, same era.
L. N. Mihaila, J. Salomon and M. Steinhauser, Renormalization constants and beta functions for the gauge couplings of the Standard Model to three-loop order , Phys. Rev. D86
Original
2012
Cited alongside, same era.
G. C. Branco, P. M. Ferreira, L. Lavoura, M. N. Rebelo, M. Sher and J. P. Silva, Theory and phenomenology of two-Higgs-doublet models , Phys. Rept. 516
Original
2012
Cited alongside, same era.
A. Bednyakov, A. Pikelner and V. Velizhanin, Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops , JHEP 1301
Original
2013
Cited alongside, same era.

Then

D. Chowdhury and O. Eberhardt, Global fits of the two-loop renormalized Two-Higgs-Doublet model with soft Z 2
Original
2015
Later among the works it cites.
L. Lehman and A. Martin, Hilbert Series for Constructing Lagrangians: expanding the phenomenologist’s toolbox , Phys. Rev. D91
Original
2015
Later among the works it cites.
R. Feger and T. W. Kephart, LieART—A Mathematica application for Lie algebras and representation theory , Comput. Phys. Commun. 192
Original
2015
Later among the works it cites.
A. V. Bednyakov and A. F. Pikelner, Four-loop strong coupling beta-function in the Standard Model , Phys. Lett. B762
Original
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

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2018

On three-loop RGE for the Higgs sector of 2HDM

Bednyakov, A. V.

Understand

We discuss renormalization group equations (RGE) for the parameters of the Higgs sector in general Two-Higgs-Doublet Model (2HDM).

We present the three-loop results but consider only contributions due to self-couplings of the Higgs doublets.
We study the structure of RGE and express beta-functions in terms of reparametrization invariants with respect to higgs-basis rotations.
The Cayley-Hamilton theorem is utilized to reduce both the number of independent tensor structures in matrix RGE and the number of invariants to a minimal set.

Built on

G. ’t Hooft and M. J. G. Veltman, Regularization and Renormalization of Gauge Fields , Nucl. Phys. B44
1972
Earlier work this paper cites.
G. ’t Hooft, Dimensional regularization and the renormalization group , Nucl. Phys. B61
1973
Earlier work this paper cites.
A. Vladimirov, Method for Computing Renormalization Group Functions in Dimensional Renormalization Scheme , Theor.Math.Phys. 43
1980
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. B249
1985
Earlier work this paper cites.
H. E. Haber and R. Hempfling, The Renormalization group improved Higgs sector of the minimal supersymmetric model , Phys. Rev. D48
1993
Earlier work this paper cites.
F. J. Botella and J. P. Silva, Jarlskog - like invariants for theories with scalars and fermions , Phys. Rev. D51
1995
Earlier work this paper cites.
M. Tentyukov and J. Fleischer, A Feynman diagram analyzer DIANA , Comput.Phys.Commun. 132
2000
Earlier work this paper cites.
M. Steinhauser, MATAD: A Program package for the computation of MAssive TADpoles , Comput.Phys.Commun. 134
2001
Earlier work this paper cites.
M.-x. Luo, H.-w. Wang and Y. Xiao, Two loop renormalization group equations in general gauge field theories , Phys. Rev. D67
2003
Earlier work this paper cites.
I. P. Ivanov, Two-Higgs-doublet model from the group-theoretic perspective , Phys. Lett. B632
2006
Earlier work this paper cites.
I. F. Ginzburg, Necessity of mixed kinetic term in the description of general system with identical scalar fields , Phys. Lett. B682
Original
2009
Earlier work this paper cites.
E. E. Jenkins and A. V. Manohar, Algebraic Structure of Lepton and Quark Flavor Invariants and CP Violation , JHEP 10
Original
2009
Earlier work this paper cites.
A. Hanany, N. Mekareeya and G. Torri, The Hilbert Series of Adjoint SQCD , Nucl. Phys. B825
Original
2010
Earlier work this paper cites.
A. Hanany, E. E. Jenkins, A. V. Manohar and G. Torri, Hilbert Series for Flavor Invariants of the Standard Model , JHEP 03
Original
2011
Earlier work this paper cites.