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Decay of a bound muon into a bound electron

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arxiv 2005.07276 v1 pith:WAL5ZUZW submitted 2020-05-14 hep-ph

classification hep-ph
keywords boundelectronmuonprobabilityrateanalyticatomclose
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When a muon bound in an atom decays, there is a small probability that the daughter electron remains bound. That probability is evaluated. Surprisingly, a significant part of the rate is contributed by the negative energy component of the wave function, neglected in a previous study. A simple integral representation of the rate is presented. In the limit of close muon and electron masses, an analytic formula is derived.

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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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