Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules

被引:19
|
作者
Gerardin, Antoine [1 ,2 ]
Green, Jeremy [3 ]
Gryniuk, Oleksii [1 ,2 ]
von Hippel, Georg [1 ,2 ]
Meyer, Harvey B. [1 ,2 ,4 ]
Pascalutsa, Vladimir [1 ,2 ]
Wittig, Hartmut [1 ,2 ,4 ]
机构
[1] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany
[2] Johannes Gutenberg Univ Mainz, Inst Kernphys, D-55099 Mainz, Germany
[3] DESY, John von Neumann Inst Comp NIC, Platanenallee 6, D-15738 Zeuthen, Germany
[4] Helmholtz Inst Mainz, D-55099 Mainz, Germany
关键词
EXCLUSIVE PROCESSES; FORM-FACTORS; QUARK MASS; PHOTON; COLLISIONS;
D O I
10.1103/PhysRevD.98.074501
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
] The hadronic contribution to the eight forward amplitudes of light-by-light scattering (gamma*gamma* -> gamma*gamma*) is computed in lattice QCD. Via dispersive sum rules, the amplitudes are compared to a model of the gamma*gamma* -> hadrons cross sections in which the fusion process is described by hadronic resonances. Our framework can provide an important test for the model estimates of hadronic light-by-light scattering in the anomalous magnetic moment of the muon, a(mu)(HLbL). Using simple parametrizations of the resonance M -> 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) -> gamma*gamma* transition form factor, our calculation provides valuable information for phenomenological estimates of a(mu)(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)(HLbL).
引用
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页数:32
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