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Title: Coherent μ e conversion at next-to-leading order

Abstract

We analyze next-to-leading-order (NLO) corrections and uncertainties for coherent $${\mu}\text{-}e$$ conversion. The analysis is general, but numerical results focus on $$^{27}\mathrm{Al}$$, 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 $${\sigma}$$ 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.

Authors:
;
Publication Date:
Research Org.:
Univ. of Massachusetts, Amherst, MA (United States); California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1461925
Alternate Identifier(s):
OSTI ID: 1503826
Grant/Contract Number:  
[SC0011632; SC0011095]
Resource Type:
Published Article
Journal Name:
Physical Review C
Additional Journal Information:
[Journal Name: Physical Review C Journal Volume: 98 Journal Issue: 1]; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; chiral perturbation theory; effective field theory; flavor changing neutral currents; muons; flavor symmetries

Citation Formats

Bartolotta, Anthony, and Ramsey-Musolf, Michael J. Coherent μ − e conversion at next-to-leading order. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.98.015208.
Bartolotta, Anthony, & Ramsey-Musolf, Michael J. Coherent μ − e conversion at next-to-leading order. United States. doi:10.1103/PhysRevC.98.015208.
Bartolotta, Anthony, and Ramsey-Musolf, Michael J. Fri . "Coherent μ − e conversion at next-to-leading order". United States. doi:10.1103/PhysRevC.98.015208.
@article{osti_1461925,
title = {Coherent μ − e conversion at next-to-leading order},
author = {Bartolotta, Anthony and Ramsey-Musolf, Michael J.},
abstractNote = {We analyze next-to-leading-order (NLO) corrections and uncertainties for coherent ${\mu}\text{-}e$ conversion. The analysis is general, but numerical results focus on $^{27}\mathrm{Al}$, 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 ${\sigma}$ 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.},
doi = {10.1103/PhysRevC.98.015208},
journal = {Physical Review C},
number = [1],
volume = [98],
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevC.98.015208

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