High-precision four-loop mass and wave function renormalization in QED

Stefano Laporta (Dipartimento di Fisica e Astronomia, Università di Padova, Istituto Nazionale Fisica Nucleare, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy)

The 4-loop QED mass and wave function renormalization constants Z2 and Zm have been evaluated in the on-shell subtraction scheme with 1100 digits of precision. We also worked out the coefficients of the five color structures of the QCD renormalization constants Z2OS and ZmOS which can be obtained from QED-like diagrams. The results agree with lower precision results available in the literature. Analytical fits were also obtained for all these quantities.

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      "title": "High-precision four-loop mass and wave function renormalization in QED"
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      "value": "The 4-loop QED mass and wave function renormalization constants <math><msub><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math> and <math><msub><mrow><mi>Z</mi></mrow><mrow><mi>m</mi></mrow></msub></math> have been evaluated in the on-shell subtraction scheme with 1100 digits of precision. We also worked out the coefficients of the five color structures of the QCD renormalization constants <math><msubsup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow><mrow><mi>OS</mi></mrow></msubsup></math> and <math><msubsup><mrow><mi>Z</mi></mrow><mrow><mi>m</mi></mrow><mrow><mi>OS</mi></mrow></msubsup></math> which can be obtained from QED-like diagrams. The results agree with lower precision results available in the literature. Analytical fits were also obtained for all these quantities."
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Published on:
31 January 2020
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 802 C (2020)

Article ID: 135264
DOI:
https://doi.org/10.1016/j.physletb.2020.135264
Copyrights:
The Author
Licence:
CC-BY-3.0

Fulltext files: