scholarly journals Chiral extrapolation of nucleon magnetic moments at next-to-leading-order

2012 ◽  
Vol 86 (9) ◽  
Author(s):  
P. Wang ◽  
D. B. Leinweber ◽  
A. W. Thomas ◽  
R. D. Young
Keyword(s):  
Magnetic Moments ◽  
Leading Order ◽  
Chiral Extrapolation

PION PHOTOPRODUCTION IN A GAUGE-INVARIANT CHIRAL UNITARY FRAMEWORK

2014 ◽  
Vol 26 ◽  
pp. 1460075
Author(s):  
MAXIM MAI ◽  
PETER C. BRUNS ◽  
ULF-G. MEIßNER
Keyword(s):  
Magnetic Moments ◽  
Pion Photoproduction ◽  
Low Energy ◽  
Leading Order ◽  
S Wave ◽  
Gauge Invariant ◽  
Unitary Extension ◽  
Pion Nucleon ◽  
Energy Constants ◽  
Order Contact

We investigate pion photoproduction off the proton in a manifestly gauge-invariant chiral unitary extension of chiral perturbation theory. In a first step, we consider meson-baryon scattering taking into account all next-to-leading order contact interactions. The resulting low-energy constants are determined by a fit to s-wave pion-nucleon scattering and the low-energy data for the reaction π-p → ηn. Having determined the low-energy constants, we then analyse the data on the s-wave multipole amplitudes E0+ of pion and eta photoproduction. These are parameter-free predictions, as the two new low-energy constants are determined by the neutron and proton magnetic moments.

scholarly journals Leading-order hadronic contributions to the electron and tau anomalous magnetic moments

2016 ◽  
Vol 76 (8) ◽  
Author(s):  
Florian Burger ◽  
Karl Jansen ◽  
Marcus Petschlies ◽  
Grit Pientka
Keyword(s):  
Magnetic Moments ◽  
Leading Order

scholarly journals Leading-order hadronic contributions to the lepton anomalous magnetic moments from the lattice

2016 ◽  
Vol 118 ◽  
pp. 01029 ◽  
Author(s):  
Florian Burger ◽  
Xu Feng ◽  
Karl Jansen ◽  
Marcus Petschlies ◽  
Grit Pientka ◽  
...  
Keyword(s):  
Magnetic Moments ◽  
Leading Order

scholarly journals Lattice QCD results for the HVP contribution to the anomalous magnetic moments of leptons

2018 ◽  
Vol 175 ◽  
pp. 06016
Author(s):  
◽  
Szabolcs Borsanyi ◽  
Zoltan Fodor ◽  
Taichi Kawanai ◽  
Stefan Krieg ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Lattice Spacing ◽  
Vacuum Polarization ◽  
Magnetic Moments ◽  
Leading Order ◽  
Order Contribution ◽  
Systematic Uncertainties ◽  
Linear Extent ◽  
Charged Leptons

We present lattice QCD results by the Budapest-Marseille-Wuppertal (BMW) Collaboration for the leading-order contribution of the hadron vacuum polarization (LOHVP) to the anomalous magnetic moments of all charged leptons. Calculations are performed with u, d, s and c quarks at their physical masses, in volumes of linear extent larger than 6 fm, and at six values of the lattice spacing, allowing for controlled continuum extrapolations. All connected and disconnected contributions are calculated for not only the muon but also the electron and tau anomalous magnetic moments. Systematic uncertainties are thoroughly discussed and comparisons with other calculations and phenomenological estimates are made.

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