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Field Theory of the Fermi Function
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abstract
The Fermi function $F(Z,E)$ accounts for QED corrections to beta decays that are enhanced at either small electron velocity $\beta$ or large nuclear charge $Z$. 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 $\pi$-enhancements with renormalization group methods. Our results are important for tests of fundamental physics with precision beta decay and related processes.
Forward citations
Cited by 3 Pith papers
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An effective field theory for muon conversion and muon decay-in-orbit
A five-stage EFT tower factorizes QED corrections to muon conversion and decay-in-orbit near the endpoint, yielding a resummed NLL-corrected signal shape.
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$2\nu\beta\beta$ Spectrum in Chiral Effective Field Theory
Chiral EFT corrections to the 2νββ electron spectrum from weak magnetism and pion exchange appear at next-to-leading order and must be included in searches for new physics.
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