Renormalization of beta decay at three loops and beyond
- Creators
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Borah, Kaushik
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Hill, Richard J.
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Plestid, Ryan
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 𝑍2²𝛼³ 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).
Copyright and License
Published by the American Physical Society under the terms of the 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.
Funding
Funded by SCOAP3.
Acknowledgement
Early portions of this work were performed at the Mainz Institute for Theoretical Physics (MITP) of the DFG Cluster of Excellence PRISMA+ (Project ID 39083149), and R. P. thanks them for their hospitality. R. P. thanks the Institute for Nuclear Theory at the University of Washington for its kind hospitality where part of this research was performed, and by extension the INT’s U.S. Department of Energy Grant No. DE-FG02-00ER41132. R. P. is supported by the Neutrino Theory Network under Award No. DEAC02-07CHI11359, the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0011632, and by the Walter Burke Institute for Theoretical Physics. This work was supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0019095. R. J. H. acknowledges support from a Fermilab Intensity Frontier Fellowship. This manuscript has been authored by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy, Office of Science, Office of High Energy Physics.
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Additional details
- ISSN
- 2470-0029
- Deutsche Forschungsgemeinschaft
- 39083149
- United States Department of Energy
- DE-FG02-00ER41132
- United States Department of Energy
- DEAC02-07CHI11359
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics
- United States Department of Energy
- DE-SC0019095
- Fermi National Accelerator Laboratory
- United States Department of Energy
- DE-AC02-07CH11359
- SCOAP3
- Caltech groups
- Walter Burke Institute for Theoretical Physics