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Shape function in QED and bound muon decays

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arxiv 1506.00975 v2 pith:S2UANGNV submitted 2015-06-02 hep-ph

Robert Szafron , Andrzej Czarnecki This is my paper · ORCID
classification hep-ph
keywords bounddecaysfunctionmuonparticleshapespectrumaccounting
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When a particle decays in an external field, the energy spectrum of the products is smeared. We derive an analytical expression for the shape function accounting for the motion of the decaying particle and the final state interactions. We apply our result to calculate the muonium decay spectrum and comment on applications to the muon bound in an atom.

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  1. An effective field theory for muon conversion and muon decay-in-orbit

    hep-ph 2024-12 conditional novelty 7.0 of 10

    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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