Higher-order hadronic-vacuum-polarization contribution to the muon g-2 from lattice QCD
| Autor: | Chakraborty, Bipasha, Davies, Christine T. H., Koponen, Jonna, Lepage, G. Peter, Van de Water, Ruth S. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 98, 094503 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.98.094503 |
| Popis: | We introduce a new method for calculating the ${\rm O}(\alpha^3)$ hadronic-vacuum-polarization contribution to the muon anomalous magnetic moment from ${ab-initio}$ lattice QCD. We first derive expressions suitable for computing the higher-order contributions either from the renormalized vacuum polarization function $\hat\Pi(q^2)$, or directly from the lattice vector-current correlator in Euclidean space. We then demonstrate the approach using previously-published results for the Taylor coefficients of $\hat\Pi(q^2)$ that were obtained on four-flavor QCD gauge-field configurations with physical light-quark masses. We obtain $10^{10} a_\mu^{\rm HVP,HO} = -9.3(1.3)$, in agreement with, but with a larger uncertainty than, determinations from $e^+e^- \to {\rm hadrons}$ data plus dispersion relations. Comment: Expanded and clarified discussion and revised Figure 4. Results unchanged. 11 pages, 5 tables, 5 figures. Version accepted to Physical Review D |
| Databáze: | arXiv |
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