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Consequences of the renormalization group for perturbative quantum chromodynamics

Nature Physics volume 19, pages 1533–1535 (2023)Cite this article

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The renormalization group is a key ingredient in methods of improving perturbative computations in particle physics. Here I briefly discuss its role in perturbative quantum chromodynamics and particularly the running of its coupling constant.

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Fig. 1: Dominant Feynman diagrams for the computation of muon magnetic moment.
Fig. 2: Running of the QCD coupling.
Fig. 3: Renormalization scale dependence for the decay of the Higgs boson into bottom quarks and gluons.

References

  1. ’t Hooft, G. & Veltman, M. J. G. Nucl. Phys. B 44, 189 (1972).

    Article  ADS  Google Scholar 

  2. Callan, C. G. Jr Phys. Rev. D 2, 1541 (1970).

    Article  ADS  Google Scholar 

  3. Symanzik, K. Commun. Math. Phys. 18, 227 (1970).

    Article  ADS  MathSciNet  Google Scholar 

  4. Gross, D. J. & Wilczek, F. Phys. Rev. Lett. 30, 1943 (1973).

    Article  ADS  Google Scholar 

  5. Politzer, H. D. Phys. Rev. Lett. 30, 1346 (1973).

    Article  ADS  Google Scholar 

  6. Baikov, P. A., Chetyrkin, K. G. & Kühn, J. H. Phys. Rev. Lett. 118, 082002 (2017).

    Article  ADS  Google Scholar 

  7. Herzog, F., Ruijl, B., Ueda, T., Vermaseren, J. A. M. & Vogt, A. J. High-Energy Phys. 2, 90 (2017).

    Article  ADS  Google Scholar 

  8. Luthe, T., Maier, A., Marquard, P. & Schroder, Y. J. High-Energy Phys. 10, 166 (2017).

    Article  ADS  Google Scholar 

  9. Brodsky, S. J., Lepage, G. P. & Mackenzie, P. B. Phys. Rev. D 28, 228 (1983).

    Article  ADS  Google Scholar 

  10. Grunberg, G. Phys. Rev. D 29, 2315 (1984).

    Article  ADS  Google Scholar 

  11. Boito, D., Jamin, M. & Miravitllas, R. Phys. Rev. Lett. 117, 152001 (2016).

    Article  ADS  Google Scholar 

  12. Davies, J., Steinhauser, M. & Wellmann, D. Nucl. Phys. B 920, 20 (2017).

    Article  ADS  Google Scholar 

  13. Dyson, F. J. Phys. Rev. 85, 631 (1952).

    Article  ADS  MathSciNet  Google Scholar 

  14. Beneke, M. Phys. Rep. 317, 1–142 (1999).

    Article  ADS  Google Scholar 

  15. Hoang, A. H. & Regner, C. Phys. Rev. D 105, 096023 (2022).

    Article  ADS  Google Scholar 

  16. Benitez-Rathgeb, M. A., Boito, D., Hoang, A. H. & Jamin, M. J. High-Energy Phys. 7, 16 (2022).

    Article  ADS  Google Scholar 

  17. Schwinger, J. S. Phys. Rev. 73, 416 (1948).

    Article  ADS  Google Scholar 

  18. Particle Data Group. et al. Prog. Theor. Exp. Phys. 8, 083C01 (2022).

Download references

Acknowledgements

This work is supported by São Paulo Research Foundation (FAPESP) grant 2021/06756-6 and by CNPq grant 308979/2021-4.

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  1. Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, Brazil

    Diogo Boito

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  1. Diogo Boito
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Correspondence to Diogo Boito.

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Boito, D. Consequences of the renormalization group for perturbative quantum chromodynamics. Nat. Phys. 19, 1533–1535 (2023). https://doi.org/10.1038/s41567-023-02234-w

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