Work

Four-loop cusp anomalous dimension in QED

Year: 2018
Type: article
Abstract: The 4-loop C F 3 T F n l and 5-loop C F 4 T F n l terms in the HQET field anomalous dimension γ h are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop C F 3 T F n l and 5-loop C F 4 T F n l 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 d F F n l contributions to γ h and to the small-φ expansion of Γ(φ) up to φ 4 [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 φ 4.
Language: English
Open Access status: diamond
OpenAlex ID: W2802194261
FWCI: 4.628
Cites: 23
Cited by: 49
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