Four-loop cusp anomalous dimension in QED

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Abstract

The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the HQET field anomalous dimension γh are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop CF 3TFnl and 5-loop CF 4TFnl terms in the cusp anomalous dimension Γ(φ) are calculated analytically, exactly in φ (the φ → ∞ asymptotics of the 4-loop one agrees with the recent numerical result [2]). Combining these results with the recent 4-loop dF Fnl contributions to γh and to the small-φ expansion of Γ(φ) up to φ4 [3], we now have the complete analytical 4-loop result for the Bloch-Nordsieck field anomalous dimension in QED, and the small-φ expansion of the 4-loop QED cusp anomalous dimension up to φ4.

Original languageEnglish
Article number73
Number of pages10
JournalJournal of High Energy Physics
Volume2018
Issue number6
DOIs
Publication statusPublished - 1 Jun 2018

Keywords

  • Effective Field Theories
  • Perturbative QCD
  • Renormalization Group
  • Wilson, ’t Hooft and Polyakov loops
  • QCD
  • Wilson, 't Hooft and Polyakov loops
  • RENORMALIZATION

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