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arXiv · 2508.05741

Factorization and resummation of QED radiative corrections for neutron beta decay

Zehua Cao·Richard J. Hill·Ryan Plestid·Peter Vander Griend
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Abstract

Details of the two-loop analysis of long-distance QED radiative corrections to neutron beta decay are presented. Explicit expressions are given for hard, jet, and soft functions appearing in the factorization formula that describes the small mass/large energy limit. Power corrections, cancellation of singularities in the small mass expansion, renormalization scheme dependence, and bound state effects are discussed. The results impact the determination of $|V_{ud}|$ from the measured neutron lifetime.

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Zehua Cao, Richard J. Hill, Ryan Plestid, Peter Vander Griend. 2025-08-07. Factorization and resummation of QED radiative corrections for neutron beta decay. https://arxiv.org/abs/2508.05741

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