Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
| Autor: | Steven Gottlieb, A. Vaquero, R. S. Van de Water, G. P. Lepage, Jack Laiho, Aida X. El-Khadra, D. Toussaint, D. Hatton, Paul B. Mackenzie, J. N. Simone, Carleton DeTar, T. Primer, Christine Davies, Andreas S. Kronfeld, Craig McNeile, Yuzhi Liu, Ethan T. Neil, Elvira Gamiz |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Particle physics
High Energy Physics::Lattice Lattice field theory Hadron Nuclear Theory FOS: Physical sciences 01 natural sciences Computer Science::Digital Libraries High Energy Physics - Lattice Pion High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences Vacuum polarization 010306 general physics Nuclear Experiment Quantum chromodynamics Physics Muon Anomalous magnetic dipole moment 010308 nuclear & particles physics High Energy Physics - Lattice (hep-lat) High Energy Physics::Phenomenology Lattice QCD ddc High Energy Physics - Phenomenology High Energy Physics::Experiment |
| Zdroj: | Physical Review |
| ISSN: | 2470-0010 |
| Popis: | We calculate the contribution to the muon anomalous magnetic moment hadronic vacuum polarization from {the} connected diagrams of up and down quarks, omitting electromagnetism. We employ QCD gauge-field configurations with dynamical $u$, $d$, $s$, and $c$ quarks and the physical pion mass, and analyze five ensembles with lattice spacings ranging from $a \approx 0.06$ to~0.15~fm. The up- and down-quark masses in our simulations have equal masses $m_l$. We obtain, in this world where all pions have the mass of the $\pi^0$, $10^{10} a_\mu^{ll}({\rm conn.}) = 637.8\,(8.8)$, in agreement with independent lattice-QCD calculations. We then combine this value with published lattice-QCD results for the connected contributions from strange, charm, and bottom quarks, and an estimate of the uncertainty due to the fact that our calculation does not include strong-isospin breaking, electromagnetism, or contributions from quark-disconnected diagrams. Our final result for the total $\mathcal{O}(\alpha^2)$ hadronic vacuum polarization to the muon's anomalous magnetic moment is~$10^{10}a_\mu^{\rm HVP,LO} = 699(15)_{u,d}(1)_{s,c,b}$, where the errors are from the light-quark and heavy-quark contributions, respectively. Our result agrees with both {\it ab-initio} lattice-QCD calculations and phenomenological determinations from experimental $e^+e^-$-scattering data. It is $1.3\sigma$ below the "no new physics" value of the hadronic-vacuum-polarization contribution inferred from combining the BNL E821 measurement of $a_\mu$ with theoretical calculations of the other contributions. Comment: 19 pages, 12 figures, 6 tables; updated to correct a small mistake in the finite volume correction resulting in small changes to the results, matches published version |
| Databáze: | OpenAIRE |
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