Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment

The complete set of relations, which mutually express the spacelike and timelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment a μ HVP in terms of each other, is obtained. By making use of the derived relations the explicit expression for th...

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Bibliographic Details
Published in:Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2022-05, Vol.49 (5), p.55001
Main Author: Nesterenko, A V
Format: Article
Language:English
Subjects:
hadronic vacuum polarization contributions
kernel functions
lattice QCD
muon anomalous magnetic moment
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Summary:The complete set of relations, which mutually express the spacelike and timelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment a μ HVP in terms of each other, is obtained. By making use of the derived relations the explicit expression for the next-to-leading order spacelike kernel function, which enters the representation for a μ HVP involving the hadronic vacuum polarization function, is obtained. The corresponding next-to-leading order spacelike kernel function, which appears in the representation for a μ HVP involving the Adler function, is calculated numerically. The obtained results can be employed in the assessments of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment in the framework of the spacelike methods, such as lattice studies, MUonE project, and others.
ISSN:0954-3899
1361-6471
DOI:10.1088/1361-6471/ac5d0a