Generalized eikonal identities for charged currents
Abstract
We discuss QED radiative corrections to contact operators coupling two heavy fields and one light field. These operators appear ubiquitously in weak interactions with nuclei such as beta decay and neutrino nucleus scattering. New eikonal identities are derived in the static limit (i.e., neglecting nuclear recoil) that allow for manifest power counting of enhancements proportional to the charge of the nucleus. We apply these new identities to nuclear beta decays and find that the "independent particle model" used by Jaus, Rasche, Sirlin & Zucchini is closely related, though not identical, to a model independent effective field theorcalculation.
Copyright and License
© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Article funded by SCOAP3.
Acknowledgement
I thank Richard Hill for collaboration on related projects, and I am specifically grateful for suggestions related to the decoupling transformation used in eq. (3.6). I thank Robert Szafron, Michele Papucci for useful discussions. I thank Richard Hill, Andreas Helset and Julio Para-Martinez for providing feedback on early versions of this manuscript.
This work is supported by the Neutrino Theory Network under Award Number DEAC02-07CHI11359, the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, and by the Walter Burke Institute for Theoretical Physics.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2402.14769 (arXiv)
Funding
- United States Department of Energy
- DEAC02-07CHI11359
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics -
- SCOAP3
Dates
- Accepted
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2024-07-02
- Available
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2024-07-23Published