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Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD  [PDF]
Thomas Blum,Saumitra Chowdhury,Masashi Hayakawa,Taku Izubuchi
Physics , 2014, DOI: 10.1103/PhysRevLett.114.012001
Abstract: The form factor that yields the light-by-light scattering contribution to the muon anomalous magnetic moment is computed in lattice QCD+QED and QED. A non-perturbative treatment of QED is used and is checked against perturbation theory. The hadronic contribution is calculated for unphysical quark and muon masses, and only the diagram with a single quark loop is computed. Statistically significant signals are obtained. Initial results appear promising, and the prospect for a complete calculation with physical masses and controlled errors is discussed.
The hadronic light-by-light contribution to the muon anomalous magnetic moment and renormalization group for EFT  [cached]
Bijnens Johan,Abyaneh Mehran Zahiri
EPJ Web of Conferences , 2012, DOI: 10.1051/epjconf/20123701007
Abstract: We give a short overview of the theory of the muon anomalous magnetic moment with emphasis on the hadronic light-by-light and the pion loop contribution. We explain the difference between the hidden local symmetry and full VMD pion loop and discuss leading logarithms in the anomalous sector of 2-flavour chiral perturbation theory.
The hadronic light-by-light contribution to the muon anomalous magnetic moment and renormalization group for EFT  [PDF]
Johan Bijnens,Mehran Zahiri Abyaneh
Physics , 2012,
Abstract: We give a short overview of the theory of the muon anomalous magnetic moment with emphasis on the hadronic light-by-light and the pion loop contribution. We explain the difference between the hidden local symmetry and full VMD pion loop and discuss leading logarithms in the anomalous sector of 2-flavour chiral perturbation theory.
The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
Bijnens, Johan;Prades, Joaquim
High Energy Physics - Phenomenology , 2007, DOI: 10.1142/S0217732307022992
Abstract: We review the status of the hadronic light-by-light contribution to the muon anomalous magnetic moment and critically compare recent calculations. We also study in detail which momentum regions the pi^0 exchange main contribution originates. We also argue that a_\mu^{light-by-light} = (11 \pm 4) \times 10^{-10} encompasses the present understanding of this contribution and comment on some directions to improve on that.
Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment  [PDF]
Thomas Blum,Norman Christ,Masashi Hayakawa,Taku Izubuchi,Luchang Jin,Christoph Lehner
Physics , 2015,
Abstract: The quark-connected part of the hadronic light-by-light scattering contribution to the muon's anomalous magnetic moment is computed using lattice QCD with chiral fermions. We report several significant algorithmic improvements and demonstrate their effectiveness through specific calculations which show a reduction in statistical errors by more than an order of magnitude. The most realistic of these calculations is performed with a near-physical, $171$ MeV pion mass on a $(4.6\;\mathrm{fm})^3$ spatial volume using the $32^3\times 64$ Iwasaki+DSDR gauge ensemble of the RBC/UKQCD Collaboration.
Muon anomalous magnetic moment: a consistency check for the next-to-leading order hadronic contributions  [PDF]
A. A. Pivovarov
Physics , 2001, DOI: 10.1134/1.1577913
Abstract: A model for verifying a consistency of the next-to-leading order hadronic contributions to the muon anomalous magnetic moment with those of the leading order is proposed. A part of the next-to-leading order hadronic contributions related to the vacuum polarization is rather accurately reproduced in the model. I find a new numerical value for the light-by-light hadronic contribution that leads to agreement with recent experimental result for the muon anomalous magnetic moment.
An interpolation of the vacuum polarization function for the evaluation of hadronic contributions to the muon anomalous magnetic moment  [PDF]
S. Groote,J. G. K?rner,A. A. Pivovarov
Physics , 2001, DOI: 10.1007/s10052-002-0958-2
Abstract: We propose a simple parameterization of the two-point correlator of hadronic electromagnetic currents for the evaluation of the hadronic contributions to the muon anomalous magnetic moment. The parameterization is explicitly done in the Euclidean domain. The model function contains a phenomenological parameter which provides an infrared cutoff to guarantee the smooth behavior of the correlator at the origin in accordance with experimental data in e+ e- annihilation. After fixing a numerical value for this parameter from the leading order hadronic contribution to the muon anomalous magnetic moment the next-to-leading order results related to the vacuum polarization function are accurately reproduced. The properties of the four-point correlator of hadronic electromagnetic currents as for instance the so-called light-by-light scattering amplitude relevant for the calculation of the muon anomalous magnetic moment are briefly discussed.
Hadronic corrections to the muon anomalous magnetic moment from lattice QCD
Blum, T.;Hayakawa, M.;Izubuchi, T.
High Energy Physics - Phenomenology , 2013,
Abstract: After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the hadronic light-by-light scattering contribution. The signal for the latter is consistent with model calculations. While encouraging, the statistical error is large and systematic errors are mostly uncontrolled. The method is applied first to pure QED as a check.
Hadronic corrections to the muon anomalous magnetic moment from lattice QCD  [PDF]
T. Blum,M. Hayakawa,T. Izubuchi
Physics , 2013,
Abstract: After a brief self-contained introduction to the muon anomalous magnetic moment, (g-2), we review the status of lattice calculations of the hadronic vacuum polarization contribution and present first results from lattice QCD for the hadronic light-by-light scattering contribution. The signal for the latter is consistent with model calculations. While encouraging, the statistical error is large and systematic errors are mostly uncontrolled. The method is applied first to pure QED as a check.
Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment  [PDF]
Ian Blokland,Andrzej Czarnecki,Kirill Melnikov
Physics , 2001, DOI: 10.1103/PhysRevLett.88.071803
Abstract: We derive an analytic result for the pion pole contribution to the light-by-light scattering correction to the anomalous magnetic moment of the muon, $a_\mu = (g_\mu-2)/2$. Using the vector meson dominance model (VMD) for the pion transition form factor, we obtain $a_\mu^{{\rm LBL},\pi^0} = +56 \times 10^{-11}$.
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