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Main Authors: Fontes, Duarte, Szafron, Robert
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.23021
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author Fontes, Duarte
Szafron, Robert
author_facet Fontes, Duarte
Szafron, Robert
contents As upcoming experiments aim to probe muon conversion with unprecedented precision, equally precise theoretical predictions are crucial to maximize discovery potential. This applies not only to the new physics signal, muon-electron conversion, but also to its only irreducible background, muon decay-in-orbit (DIO) near the endpoint. Accurate computation of higher-order corrections in bound states is a long-standing challenge due to the difficulty of systematically organizing contributions. In previous work, we developed an Effective Field Theory framework to address this issue and applied it to muon conversion. Here, we extend this approach to the DIO endpoint, a more complex problem due to the presence of a neutrino-antineutrino pair in the final state. We present the most precise prediction to date of the background spectrum relevant for future muon conversion searches, achieving next-to-leading logarithmic prime accuracy for QED corrections.
format Preprint
id arxiv_https___arxiv_org_abs_2506_23021
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle EFT approach to the endpoint of muon decay-in-orbit
Fontes, Duarte
Szafron, Robert
High Energy Physics - Phenomenology
As upcoming experiments aim to probe muon conversion with unprecedented precision, equally precise theoretical predictions are crucial to maximize discovery potential. This applies not only to the new physics signal, muon-electron conversion, but also to its only irreducible background, muon decay-in-orbit (DIO) near the endpoint. Accurate computation of higher-order corrections in bound states is a long-standing challenge due to the difficulty of systematically organizing contributions. In previous work, we developed an Effective Field Theory framework to address this issue and applied it to muon conversion. Here, we extend this approach to the DIO endpoint, a more complex problem due to the presence of a neutrino-antineutrino pair in the final state. We present the most precise prediction to date of the background spectrum relevant for future muon conversion searches, achieving next-to-leading logarithmic prime accuracy for QED corrections.
title EFT approach to the endpoint of muon decay-in-orbit
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.23021