Coherent 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:https://doi.org/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:https://doi.org/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}
}
DOI: https://doi.org/10.1103/PhysRevC.98.015208
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