Improved $α^4$ Term of the Muon Anomalous Magnetic Moment
| dc.creator | Kinoshita, T. | |
| dc.creator | Nio, M. | |
| dc.date | 2004-02-19 | |
| dc.date | 2004-12-15 | |
| dc.date.accessioned | 2026-07-07T10:49:00Z | |
| dc.date.available | 2026-07-07T10:49:00Z | |
| dc.description | We have completed the evaluation of all mass-dependent $α^4$ QED contributions to the muon $g-2$, or $a_μ$, in two or more different formulations. Their numerical values have been greatly improved by an extensive computer calculation. The new value of the dominant $α^4$ term $A_2^{(8)} (m_μ/ m_e) $ is 132.6823 (72), which supersedes the old value 127.50 (41). The new value of the three-mass term $A_3^{(8)} (m_μ/ m_e, m_μ/ m_τ) $ is 0.0376 (1). The term $A_2^{(8)} (m_μ/ m_τ) $ is crudely estimated to be about 0.005 and may be ignored for now. The total QED contribution to $a_μ$ is $116 584 719.58 (0.02)(1.15)(0.85) \times 10^{-11}$, where 0.02 and 1.15 are uncertainties in the $α^4$ and $α^5$ terms and 0.85 is from the uncertainty in $α$ measured by atom interferometry. This raises the Standard Model prediction by $13.9 \times 10^{-11}$, or about 1/5 of the measurement uncertainty of $a_μ$. It is within the noise of current uncertainty ($\sim 100 \times 10^{-11}$) in the estimated hadronic contributions to $a_μ$. | |
| dc.description | Appendix A has been rewritten extensively. It includes the 4th-order calculation for illustration. Version accepted by PRD | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0402206 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0402206 | |
| dc.identifier | Phys.Rev.D70:113001,2004 | |
| dc.identifier | doi:10.1103/PhysRevD.70.113001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184077 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Improved $α^4$ Term of the Muon Anomalous Magnetic Moment | |
| dc.type | text |