Renormalization of beta decay at three loops and beyond

Borah, Kaushik (ORCID:0000000305403928); Hill, Richard J. (ORCID:000000031982589X); Plestid, Ryan (ORCID:0000000307797289)

doi:10.1103/physrevd.109.113007

DOE OSTI · 2377813

Renormalization of beta decay at three loops and beyond

Borah, Kaushik (ORCID:0000000305403928)·Hill, Richard J. (ORCID:000000031982589X)·Plestid, Ryan (ORCID:0000000307797289)

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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 α 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 α . The first unknown coefficient for the anomalous dimension now appears at O ( Z 2 α 4 ) . Published by the American Physical Society 2024

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS 73 NUCLEAR PHYSICS AND RADIATION PHYSICS Cabibbo–Kobayashi–Maskawa matrix Electroweak interaction Electroweak radiative corrections Heavy quark effective theory Heavy-particle decays Quantum electrodynamics

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Borah, Kaushik (ORCID:0000000305403928), Hill, Richard J. (ORCID:000000031982589X), Plestid, Ryan (ORCID:0000000307797289). 2024-06-26. Renormalization of beta decay at three loops and beyond. https://doi.org/10.1103/physrevd.109.113007

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