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Статья

Nesterenko, A.V.
Effects of the Quark Flavour Thresholds in the Hadronic Vacuum Polarization Contributions to the Muon Anomalous Magnetic Moment / A.V.Nesterenko // Journal of Physics G [Electronic resource]. – 2024. – Vol. 51, No. 1. – P.015005. – URL: https://doi.org/10.1088/1361-6471/ad0b33.

The equivalent representations for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment *a&sub(*m)&sup(HVP) in the presence of the quark flavour thresholds are studied. Specifically, the explicit relations between the contributions given by the integration over a finite kinematic interval to *a&sub(*m)&sup(HVP) expressed in terms of the hadronic vacuum polarization function, Adler function, and the R-ratio of electron–positron annihilation into hadrons are derived. It is shown that the quark flavour thresholds of the hadronic vacuum polarization function generate additional contributions to *a&sub(*m)&sup(HVP) expressed in terms of the Adler function and the R-ratio and the explicit expressions for such contributions are obtained. The commonly employed dispersion relations, which bind together hadronic vacuum polarization function, Adler function, and R-ratio, are extended to account for the effects due to the quark flavour thresholds. The examined additional contributions due to the heavy quark thresholds to *a&sub(*m)&sup(HVP) expressed in terms of the R-ratio appear to be quite sizable, that can be of a particular relevance for the data-driven method of assessment of the hadronic part of the muon anomalous magnetic moment.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 324.1д - Квантовая хромодинамика$
Ключевых слов = 20/024