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  • 标题:Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice
  • 本地全文:下载
  • 作者:N.Asmussen ; J.Green ; H.B.Meyer
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2016
  • 卷号:256
  • DOI:10.22323/1.256.0164
  • 语种:English
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:The anomalous magnetic moment of the muon currently exhibits a discrepancy of about three standard deviations between the experimental value and recent Standard Model predictions. The theoretical uncertainty is dominated by the hadronic vacuum polarization and the hadronic light-by-light (HLbL) scattering contributions, where the latter has so far only been fully evaluated using different models. To pave the way for a lattice calculation of HLbL, we present an expression for the HLbL contribution to $g-2$ that involves a multidimensional integral over a position-space QED kernel function in the continuum and a lattice QCD four-point correlator. We describe our semi-analytic calculation of the kernel and test the approach by evaluating the $\pi^0$-pole contribution in the continuum.
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