Renormalization of beta decay at three loops and beyond

Borah, Kaushik; Hill, Richard J.; Plestid, Ryan

doi:10.1103/physrevd.109.113007

Title: Renormalization of beta decay at three loops and beyond

Journal Article · 25 June 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.113007 · OSTI ID:2323467

^[1];

^[2]

Univ. of Kentucky, Lexington, KY (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States)

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 Z²⁢a³ 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 a. The first unknown coefficient for the anomalous dimension now appears at O⁡(Z²⁢a⁴).

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359; FG02-00ER41132; SC0011632; SC0019095

OSTI ID:: 2323467

Alternate ID(s):: OSTI ID: 2349467; OSTI ID: 2377813

Report Number(s):: FERMILAB-PUB--24-0070-T; CALT-TH--2024-006; arXiv:2402.13307; oai:inspirehep.net:2760393

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 109; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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