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 ). 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 ). 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 , 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.
- Effective Field Theories
- Perturbative QCD
- Renormalization Group
- Wilson, ’t Hooft and Polyakov loops
- Wilson, 't Hooft and Polyakov loops