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Coherent μ-e Conversion at Next-to-Leading Order

Bartolotta, Anthony and Ramsey-Musolf, Michael J. (2018) Coherent μ-e Conversion at Next-to-Leading Order. Physical Review C, 98 (1). Art. No. 015208. ISSN 2469-9985. https://resolver.caltech.edu/CaltechAUTHORS:20171011-190335920

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Abstract

We analyze next-to-leading-order (NLO) corrections and uncertainties for coherent μ−e conversion. The analysis is general, but numerical results focus on ^(27)Al, which will be used in the Muon-to-electron conversion (Mu2e) experiment. We obtain a simple expression for the branching ratio in terms of Wilson coefficients associated with possible physics beyond the standard model and a set of model-independent parameters determined solely by standard model dynamics. For scalar-mediated conversion, we find that NLO two-nucleon contributions can significantly decrease the branching ratio, potentially reducing the rate by as much as 50%. The pion-nucleon σ term and quark masses give the dominant sources of parametric uncertainty in this case. For vector-mediated conversion, the impact of NLO contributions is considerably less severe, while the present theoretical uncertainties are comparable to parametric uncertainties.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevC.98.015208DOIArticle
http://arxiv.org/abs/1710.02129arXivDiscussion Paper
ORCID:
AuthorORCID
Ramsey-Musolf, Michael J.0000-0001-8110-2479
Additional Information:© 2018 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 23 January 2018; published 27 July 2018. We thank Mark B. Wise for many helpful discussions throughout the course of this work and Jordy de Vries, Martin Hoferichter, and Jose Manuel Alarcon Soriano for helpful comments on the draft. This work was supported in part under U.S. Department of Energy contracts DE-SC0011632 (A.B.) and DE-SC0011095 (M.J.R.M.).
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Department of Energy (DOE)DE-SC0011095
SCOAP3UNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2017-005
Issue or Number:1
Record Number:CaltechAUTHORS:20171011-190335920
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20171011-190335920
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82300
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:12 Oct 2017 16:17
Last Modified:03 Oct 2019 18:53

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