RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ \beta $-Functions

C. Poole and A. E. Thomsen, “Constraints on 3- and 4-loop β \beta -functions in a general four-dimensional Quantum Field Theory,” JHEP 09

Original

1906

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. B222

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. B236

1984

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.

I. Jack and H. Osborn, “General Background Field Calculations With Fermion Fields,” Nucl. Phys. B 249

1985

Earlier work this paper cites.

A. G. M. Pickering, J. A. Gracey, and D. R. T. Jones, “Three loop gauge beta function for the most general single gauge coupling theory,” Phys. Lett. B510

2002

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.

M.-x. Luo and Y. Xiao, “Renormalization group equations in gauge theories with multiple U(1) groups,” Phys. Lett. B 555

2003

Earlier work this paper cites.

L. Sartore, “General RGEs for dimensionful couplings in the MS ¯ \overline{\mathrm{MS}} scheme,” Phys. Rev. D 102

Original

2006

Earlier work this paper cites.

L. Sartore and I. Schienbein, “PyR@TE 3,” (2020), arXiv:2007.12700 [hep-ph]

Original

2007

Earlier work this paper cites.

F. Staub, “SARAH,” (2008), arXiv:0806.0538 [hep-ph]

Original

2008

Cited alongside, same era.

L. Basso, S. Moretti, and G. M. Pruna, “A Renormalisation Group Equation Study of the Scalar Sector of the Minimal B-L Extension of the Standard Model,” Phys. Rev. D 82

Original

2010

Cited alongside, same era.

D. F. Litim and T. Steudtner, “ARGES – Advanced Renormalisation Group Equation Simplifier,” (2020), arXiv:2012.12955 [hep-ph]

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. D 86

Original

2012

Cited alongside, same era.

O. Antipin, M. Gillioz, J. Krog, E. Mølgaard, and F. Sannino, “Standard Model Vacuum Stability and Weyl Consistency Conditions,” JHEP 08

I. Jack and H. Osborn, “Constraints on RG Flow for Four Dimensional Quantum Field Theories,” Nucl. Phys. B 883

Original

2014

Later among the works it cites.

E. Mølgaard, “Decrypting gauge-Yukawa cookbooks,” Eur. Phys. J. Plus 129

Original

2014

Later among the works it cites.

A. V. Bednyakov, A. F. Pikelner, and V. N. Velizhanin, “Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices,” Nucl. Phys. B879

Original

2014

Later among the works it cites.

G. F. Giudice, G. Isidori, A. Salvio, and A. Strumia, “Softened Gravity and the Extension of the Standard Model up to Infinite Energy,” JHEP 02

Original

2015

Later among the works it cites.

I. Jack and C. Poole, “The a-function for gauge theories,” JHEP 01