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arXiv · 2402.13307

Renormalization of beta decay at three loops and beyond

Kaushik Borah·Richard J. Hill·Ryan Plestid
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Abstract

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 $O(Z^2\alpha^4)$.

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Kaushik Borah, Richard J. Hill, Ryan Plestid. 2024-02-20. Renormalization of beta decay at three loops and beyond. https://doi.org/10.1103/physrevd.109.113007

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