[Submitted on 27 Sept 2023] (cross-list from hep-ph)
All orders factorization and the Coulomb problem
Richard J. Hill🇺🇸 · Ryan Plestid🇺🇸
In the limit of large nuclear charge, , or small lepton velocity, , Coulomb corrections to nuclear beta decay and related processes are enhanced as and become large or even non-perturbative (with the QED fine structure constant). We provide a constructive demonstration of factorization to all orders in perturbation theory for these processes and compute the all-orders hard and soft functions appearing in the factorization formula. We clarify the relationship between effective field theory amplitudes and historical treatments of beta decay in terms of a Fermi function.
- Comments:
- Matches journal version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
- arXiv:
- 2309.15929 [pdf]