Renormalization of beta decay at three loops and beyond

Kaushik Borah; Richard J. Hill; Ryan Plestid

doi:10.1103/PhysRevD.109.113007

Renormalization of beta decay at three loops and beyond

Kaushik Borah, Richard J. Hill, Ryan Plestid

Physics And Astronomy

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 Z2α3 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(Z2α4).

Original language	English
Article number	113007
Journal	Physical Review D
Volume	109
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevD.109.113007
State	Published - Jun 1 2024

Bibliographical note

Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.109.113007

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AU - Hill, Richard J.

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N2 - 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 Z2α3 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(Z2α4).

AB - 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 Z2α3 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(Z2α4).

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Renormalization of beta decay at three loops and beyond

Abstract

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