Field Theory of the Fermi Function
Creators
Abstract
The Fermi function ๐นโก(๐,๐ธ) accounts for QED corrections to beta decays that are enhanced at either small electron velocity ๐ฝ or large nuclear charge ๐. For precision applications, the Fermi function must be combined with other radiative corrections and with scale- and scheme-dependent hadronic matrix elements. We formulate the Fermi function as a field theory object and present a new factorization formula for QED radiative corrections to beta decays. We provide new results for the anomalous dimension of the corresponding effective operator complete through three loops, and resum perturbative logarithms and ๐ enhancements with renormalization-group methods. Our results are important for tests of fundamental physics with precision beta decay and related processes.
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
Files
PhysRevLett.133.021803.pdf
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Additional details
Identifiers
- ISSN
- 1079-7114
Funding
- United States Department of Energy
- DE-FG02-00ER41132
- United States Department of Energy
- DE-SC0019095
- United States Department of Energy
- DEAC02-07CHI11359
- United States Department of Energy
- DE-AC02-07CH11359
- United States Department of Energy
- DE-SC0011632
- Institute for Advanced Study
- SCOAP3
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics