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      Light-by-light forward scattering amplitudes in Lattice QCD

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          Abstract

          We present our preliminary results on the calculation of hadronic light-by-light forward scattering amplitudes using vector four-point correlation functions computed on the lattice. Using a dispersive approach, forward scattering amplitudes can be described by \(\gamma^* \gamma^* \to\) hadrons fusion cross sections and then compared with phenomenology. We show that only a few states are needed to reproduce our data. In particular, the sum rules considered in this study imply relations between meson\(-\gamma\gamma\) couplings and provide valuable information about individual form factors which are often used to estimate the meson-pole contributions to the hadronic light-by-light contribution to the \((g-2)\) of the muon.

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          Connected and Leading Disconnected Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment with a Physical Pion Mass

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            Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD

            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.
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              Lattice QCD calculation of hadronic light-by-light scattering

              We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for light-by-light scattering. The size of the pion pole contribution is investigated for momenta of typical hadronic size. The presented numerical methods can be used to compute the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Our calculations are carried out in two-flavor QCD with the pion mass in the range of 270 to 450MeV, and contain so far only the diagrams with fully connected quark lines.
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                Author and article information

                Journal
                25 October 2017
                Article
                1710.09359
                68b079be-11be-430c-a6e1-a4d620e3ec51

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Proceedings of the 35th International Symposium on Lattice Field Theory (Lattice 2017), Granada, Spain. 8 pages, 15 figures
                hep-lat hep-ph

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