Direct calculation of hadronic light-by-light scattering

We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular attention is given to the case of forward scattering, which c...

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Bibliographic Details
Published in:arXiv.org 2015-10
Main Authors: Green, Jeremy, Asmussen, Nils, Gryniuk, Oleksii, Georg von Hippel, Meyer, Harvey B, Nyffeler, Andreas, Pascalutsa, Vladimir
Format: Article
Language:English
Subjects:
Forward scattering
Hadrons
Light
Light scattering
Magnetic moments
Mathematical analysis
Phenomenology
Quantum chromodynamics
Vector currents
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Summary:We report calculations of hadronic light-by-light scattering amplitudes via lattice QCD evaluation of Euclidean four-point functions of vector currents. These initial results include only the fully quark-connected contribution. Particular attention is given to the case of forward scattering, which can be related via dispersion relations to the \(\gamma^* \gamma^* \to\) hadrons cross section, and thus allows lattice data to be compared with phenomenology. We also present a strategy for computing the hadronic light-by-light contribution to the muon anomalous magnetic moment.
ISSN:2331-8422