Coherent μ − e conversion at next-to-leading order

doi:10.1103/PhysRevC.98.015208

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:: Bartolotta, Anthony; Ramsey-Musolf, Michael J.

Publication Date:: 2018-07-27

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.

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                    Bartolotta, Anthony, & Ramsey-Musolf, Michael J. Coherent μ − e conversion at next-to-leading order.  United States.  doi:10.1103/PhysRevC.98.015208.

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                    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.

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@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}

}

Copy to clipboard

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

Abstract

Citation Formats

Charged lepton flavor violation: An experimenter’s guide journal, November 2013

Nuclear Fermi Momenta from Quasielastic Electron Scattering journal, February 1971

Large Mass Hierarchy from a Small Extra Dimension journal, October 1999

High-energy electrons from the muon decay in orbit: Radiative corrections journal, February 2016

Scalar strange content of the nucleon from lattice QCD journal, June 2013

Unity of All Elementary-Particle Forces journal, February 1974

Review of Particle Physics journal, October 2016

High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal, August 2010

Wave function renormalization in heavy baryon chiral perturbation theory journal, October 1997

Lattice QCD at the physical point: Light quark masses journal, July 2011

Baryon chiral perturbation theory using a heavy fermion lagrangian journal, February 1991

New “USD” Hamiltonians for the sd shell journal, September 2006

π N and strangeness sigma terms at the physical point with chiral fermions journal, September 2016

Nucleon electromagnetic form factors journal, October 2007

Analysis strategies for general spin-independent WIMP-nucleus scattering journal, September 2016

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation journal, February 2018

Total nuclear capture rates for negative muons journal, June 1987

SU(2) chiral perturbation theory low-energy constants from 2 + 1 flavor staggered lattice simulations journal, July 2013

Chiral power counting of one- and two-body currents in direct detection of dark matter journal, June 2015

Mechanism for Nonconservation of Muon Number journal, March 1977

Chiral Dynamics in Nucleons and Nuclei journal, June 1995

Neutron distributions from pionic atoms journal, September 1992

MILC results for light pseudoscalars conference, February 2010

Search for the lepton flavour violating decay $$\mu ^+ \rightarrow \mathrm {e}^+ \gamma $$ μ + → e + γ with the full dataset of the MEG experiment: MEG Collaboration journal, August 2016

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal, December 2002

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal, September 1991

Meson-exchange currents and the strangeness radius of 4He journal, December 1993

Determination of the Axial-Vector Weak Coupling Constant with Ultracold Neutrons journal, October 2010

Leptoquarks in lepton-quark collisions journal, June 1987

Parity Nonconservation in F 18 and Meson-Exchange Contributions to the Axial Charge Operator journal, March 1981

Lepton number as the fourth "color" journal, July 1974

Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point journal, June 2016

Theory and phenomenology of two-Higgs-doublet models journal, July 2012

Staggered chiral perturbation theory in the two-flavor case conference, June 2011

A search for μ-e conversion in muonic gold journal, May 2006

Remarks on Higgs-boson interactions with nucleons journal, October 1978

Low-energy expansion of the pion-nucleon Lagrangian journal, January 1996

Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects journal, March 2014

Nuclear charge-density-distribution parameters from elastic electron scattering journal, May 1987

Lattice QCD at the physical point meets S U ( 2 ) chiral perturbation theory journal, December 2014

Flavour violation, scalar particles and leptoquarks journal, October 1982

Aspects of chiral pion-nucleon physics journal, April 1997

Domain wall QCD with near-physical pions journal, May 2013

Anatomy of a composite Higgs model journal, January 1985

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) journal, February 2017

High-Precision Determination of the π , K , D , and D s Decay Constants from Lattice QCD journal, February 2008

Muon decay and physics beyond the standard model journal, January 2001

Muon decay in orbit: Spectrum of high-energy electrons journal, July 2011

Technicolour journal, August 1981

Nucleon and nuclear anapole moments journal, August 1989

Solving the radial Dirac equations: a numerical odyssey journal, December 2010

Virtual effects of Higgs particles journal, February 1981

Elastic magnetic electron scattering from nuclei journal, July 1984

S U ( 2 ) low-energy constants from mixed-action lattice QCD journal, November 2012

Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D 66 , 096002 (2002)] journal, September 2007

Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point journal, April 2016

Direct determinations of the nucleon and pion σ terms at nearly physical quark masses journal, May 2016

Strangeness Vector and Axial-Vector Form Factors of the Nucleon journal, January 2014

Improved predictions for μ → e conversion in nuclei and Higgs-induced lepton flavor violation journal, May 2014

WIMP-nucleus scattering in chiral effective theory journal, October 2012

Model discriminating power of μ → e conversion in nuclei journal, July 2009

Chiral representation of the π N scattering amplitude and the pion-nucleon sigma term journal, March 2012

Extracting the σ -term from low-energy pion-nucleon scattering journal, December 2017

Domain wall QCD with physical quark masses journal, April 2016

First-principle calculations of dark matter scattering off light nuclei journal, September 2017

Physics of leptoquarks in precision experiments and at particle colliders journal, June 2016

Renormalization of the Chiral Pion–Nucleon Lagrangian beyond Next-to-Leading Order journal, January 2000

Lattice QCD at the physical point: simulation and analysis details journal, August 2011

Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei journal, November 2002

THE NUCLEON MASS AND PION-NUCLEON SIGMA TERM FROM A CHIRAL ANALYSIS OF N f = 2 + 1 LATTICE QCD WORLD DATA journal, January 2014

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

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Scalar strange content of the nucleon from lattice QCD
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Review of Particle Physics
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Lattice QCD at the physical point: Light quark masses
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Chiral Dynamics in Nucleons and Nuclei
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Neutron distributions from pionic atoms
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MILC results for light pseudoscalars
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E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
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Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
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Meson-exchange currents and the strangeness radius of 4He
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Determination of the Axial-Vector Weak Coupling Constant with Ultracold Neutrons
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Leptoquarks in lepton-quark collisions
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Parity Nonconservation in ${}^{18}F$ and Meson-Exchange Contributions to the Axial Charge Operator
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Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
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Theory and phenomenology of two-Higgs-doublet models
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Staggered chiral perturbation theory in the two-flavor case
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A search for μ-e conversion in muonic gold
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Remarks on Higgs-boson interactions with nucleons
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Low-energy expansion of the pion-nucleon Lagrangian
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Accurate evaluation of hadronic uncertainties in spin-independent WIMP-nucleon scattering: Disentangling two- and three-flavor effects
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Nuclear charge-density-distribution parameters from elastic electron scattering
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Lattice QCD at the physical point meets $S U (2)$ chiral perturbation theory
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Flavour violation, scalar particles and leptoquarks
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Aspects of chiral pion-nucleon physics
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Domain wall QCD with near-physical pions
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Anatomy of a composite Higgs model
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Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
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High-Precision Determination of the $π$ , $K$ , $D$ , and $D_{s}$ Decay Constants from Lattice QCD
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Muon decay and physics beyond the standard model
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Muon decay in orbit: Spectrum of high-energy electrons
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Technicolour
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Nucleon and nuclear anapole moments
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Solving the radial Dirac equations: a numerical odyssey
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Virtual effects of Higgs particles
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Elastic magnetic electron scattering from nuclei
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$S U (2)$ low-energy constants from mixed-action lattice QCD
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Erratum: Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei [Phys. Rev. D 66 , 096002 (2002)]
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Lattice Computation of the Nucleon Scalar Quark Contents at the Physical Point
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Direct determinations of the nucleon and pion $σ$ terms at nearly physical quark masses
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Strangeness Vector and Axial-Vector Form Factors of the Nucleon
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Improved predictions for $μ \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
journal, May 2014

WIMP-nucleus scattering in chiral effective theory
journal, October 2012

Model discriminating power of $μ \to e$ conversion in nuclei
journal, July 2009

Chiral representation of the $π N$ scattering amplitude and the pion-nucleon sigma term
journal, March 2012

Extracting the σ -term from low-energy pion-nucleon scattering
journal, December 2017

Domain wall QCD with physical quark masses
journal, April 2016

First-principle calculations of dark matter scattering off light nuclei
journal, September 2017

Physics of leptoquarks in precision experiments and at particle colliders
journal, June 2016

Renormalization of the Chiral Pion–Nucleon Lagrangian beyond Next-to-Leading Order
journal, January 2000

Lattice QCD at the physical point: simulation and analysis details
journal, August 2011

Detailed calculation of lepton flavor violating muon-electron conversion rate for various nuclei
journal, November 2002

THE NUCLEON MASS AND PION-NUCLEON SIGMA TERM FROM A CHIRAL ANALYSIS OF N _f = 2 + 1 LATTICE QCD WORLD DATA
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