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000414705 0881_ $$aMITP-17-088; DESY-17-202; arXiv:1712.00421
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000414705 1001_ $$aGérardin, Antoine$$b0
000414705 245__ $$aHadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
000414705 260__ $$aMelville, NY$$bAPS$$c2018
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000414705 520__ $$aThe hadronic contribution to the eight forward amplitudes of light-by-light scattering ($\gamma^*\gamma^*\to \gamma^*\gamma^*$) is computed in lattice QCD. Via dispersive sum rules, the amplitudes are compared to a model of the $\gamma^*\gamma^*\to {\rm hadrons}$ cross sections in which the fusion process is described by hadronic resonances. Our results thus provide an important test for the model estimates of hadronic light-by-light scattering in the anomalous magnetic moment of the muon, $a_\mu^{\rm HLbL}$. Using simple parametrizations of the resonance $M\to \gamma^*\gamma^*$ transition form factors, we determine the corresponding monopole and dipole masses by performing a global fit to all eight amplitudes. Together with a previous dedicated calculation of the $\pi^0\to \gamma^*\gamma^*$ transition form factor, our calculation provides valuable information for phenomenological estimates of $a_\mu^{\rm HLbL}$. The presented calculations are performed in two-flavor QCD with pion masses extending down to 190\,MeV at two different lattice spacings. In addition to the fully connected Wick contractions, on two lattice ensembles we also compute the (2+2) disconnected class of diagrams, and find that their overall size is compatible with a parameter-free, large-$N$ inspired prediction, where $N$ is the number of colors. Motivated by this observation, we estimate in the same way the disconnected contribution to $a_\mu^{\rm HLbL}$.
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000414705 7001_ $$0P:(DE-H253)PIP1103462$$aGreen, Jeremy$$b1$$udesy
000414705 7001_ $$aGryniuk, Oleksii$$b2
000414705 7001_ $$0P:(DE-HGF)0$$avon Hippel, Georg$$b3
000414705 7001_ $$0P:(DE-HGF)0$$aMeyer, Harvey B.$$b4$$eCorresponding author
000414705 7001_ $$aPascalutsa, Vladimir$$b5
000414705 7001_ $$aWittig, Hartmut$$b6
000414705 77318 $$2Crossref$$3journal-article$$a10.1103/physrevd.98.074501$$bAmerican Physical Society (APS)$$d2018-10-02$$n7$$p074501$$tPhysical Review D$$v98$$x2470-0010$$y2018
000414705 773__ $$0PERI:(DE-600)2844732-3$$a10.1103/PhysRevD.98.074501$$gVol. 98, no. 7, p. 074501$$n7$$p074501$$tPhysical review / D$$v98$$x2470-0010$$y2018
000414705 7870_ $$0PUBDB-2017-13402$$aGérardin, Antoine et.al.$$d2017$$iIsParent$$rMITP-17-088; DESY-17-202; arXiv:1712.00421$$tHadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
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