References

  • [1] I. J. R. Aitchison and A. J. G. Hey (2024-08) Gauge Theories in Particle Physics 40th Anniversary Edition. CRC Press. External Links: Document, ISBN 978-1-003-56308-2 Cited by: Conclusion and further reading.
  • [2] C. Anastasiou, C. Duhr, F. Dulat, E. Furlan, T. Gehrmann, F. Herzog, A. Lazopoulos, and B. Mistlberger (2016) High precision determination of the gluon fusion Higgs boson cross-section at the LHC. JHEP 05, pp. 058. External Links: 1602.00695, Document Cited by: Figure 2, §6.2.
  • [3] P. A. Baikov, K. G. Chetyrkin, and J. H. Kühn (2017) Five-Loop Running of the QCD Coupling Constant. Phys. Rev. Lett. 118 (8), pp. 082002. External Links: 1606.08659, Document Cited by: §6.3.
  • [4] K. G. Chetyrkin, G. Falcioni, F. Herzog, and J. A. M. Vermaseren (2017) Five-loop renormalisation of QCD in covariant gauges. JHEP 10, pp. 179. Note: [Addendum: JHEP 12, 006 (2017)] External Links: 1709.08541, Document Cited by: §6.3.
  • [5] M. Czakon (2005) The Four-loop QCD beta-function and anomalous dimensions. Nucl. Phys. B 710, pp. 485–498. External Links: hep-ph/0411261, Document Cited by: §6.3.
  • [6] A. Grozin (2005-08) Lectures on QED and QCD. In 3rd Dubna International Advanced School of Theoretical Physics, External Links: hep-ph/0508242 Cited by: §6.3.
  • [7] F. Halzen and A. D. Martin (1984) Quarks and Leptons: An Introductory Course in Modern Particle Physics. Wiley. External Links: ISBN 978-0-471-88741-6 Cited by: Conclusion and further reading.
  • [8] F. Herzog, B. Ruijl, T. Ueda, J. A. M. Vermaseren, and A. Vogt (2017) The five-loop beta function of Yang-Mills theory with fermions. JHEP 02, pp. 090. External Links: 1701.01404, Document Cited by: §6.3.
  • [9] T. Luthe, A. Maier, P. Marquard, and Y. Schröder (2016) Towards the five-loop Beta function for a general gauge group. JHEP 07, pp. 127. External Links: 1606.08662, Document Cited by: §6.3.
  • [10] T. Luthe, A. Maier, P. Marquard, and Y. Schröder (2017) The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge. JHEP 10, pp. 166. External Links: 1709.07718, Document Cited by: §6.3.
  • [11] M. E. Peskin and D. V. Schroeder (1995) An Introduction to quantum field theory. Addison-Wesley, Reading, USA. External Links: Document, ISBN 978-0-201-50397-5, 978-0-429-50355-9, 978-0-429-49417-8 Cited by: Conclusion and further reading.
  • [12] L. H. Ryder (1996-06) Quantum Field Theory. Cambridge University Press. External Links: Document, ISBN 978-0-521-47814-4, 978-1-139-63239-3, 978-0-521-23764-2 Cited by: Conclusion and further reading.
  • [13] M. D. Schwartz (2014-03) Quantum Field Theory and the Standard Model. Cambridge University Press. External Links: Document, ISBN 978-1-107-03473-0, 978-1-107-03473-0 Cited by: Conclusion and further reading.
  • [14] M. Srednicki (2007-01) Quantum field theory. Cambridge University Press. External Links: Document, ISBN 978-0-521-86449-7, 978-0-511-26720-8 Cited by: Conclusion and further reading.
  • [15] F. Takahashi et al. (2026) Review of particle physics. International Journal of Modern Physics A 41 (22), pp. 2630011. External Links: Document Cited by: Figure 3, §6.3.
  • [16] T. van Ritbergen, J. A. M. Vermaseren, and S. A. Larin (1997) The Four loop beta function in quantum chromodynamics. Phys. Lett. B 400, pp. 379–384. External Links: hep-ph/9701390, Document Cited by: §6.3.