All orders factorization and the Coulomb problem

Hill, Richard J.; Plestid, Ryan (ORCID:0000000307797289)

doi:10.1103/physrevd.109.056006

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All orders factorization and the Coulomb problem

Hill, Richard J.·Plestid, Ryan (ORCID:0000000307797289)

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Abstract

In the limit of large nuclear charge, Z ≫ 1 , or small lepton velocity, β ≪ 1 , Coulomb corrections to nuclear beta decay and related processes are enhanced as Z α / β and become large or even nonperturbative (with α 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. Published by the American Physical Society 2024

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS 73 NUCLEAR PHYSICS AND RADIATION PHYSICS beta decay quantum electrodynamics

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Hill, Richard J., Plestid, Ryan (ORCID:0000000307797289). 2024-03-07. All orders factorization and the Coulomb problem. https://doi.org/10.1103/physrevd.109.056006

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