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Field Theory of the Fermi Function. | LitMetric

Field Theory of the Fermi Function.

Phys Rev Lett

Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA.

Published: July 2024

AI Article Synopsis

Article Abstract

The Fermi function F(Z,E) accounts for QED corrections to beta decays that are enhanced at either small electron velocity β 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 π enhancements with renormalization-group methods. Our results are important for tests of fundamental physics with precision beta decay and related processes.

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http://dx.doi.org/10.1103/PhysRevLett.133.021803DOI Listing

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