Renormalization of beta decay at three loops and beyond

Autor: Borah, Kaushik, Hill, Richard J., Plestid, Ryan
Rok vydání: 2024
Předmět:
Zdroj: Phys. Rev. D 109, 113007 (2024)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.109.113007
Popis: The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\alpha^3$ corrects a previous result in the literature. An all-orders symmetry is shown to relate the anomalous dimensions at leading and subleading powers of $Z$ at a given order of $\alpha$. The first unknown coefficient for the anomalous dimension now appears at $O(Z^2\alpha^4)$.
Comment: Matches journal version. Small typos fixed
Databáze: arXiv