Improved Determination of $α(M_{\rm Z}^2$) and the Anomalous Magnetic Moment of the Muon
| dc.creator | Davier, Michel | |
| dc.creator | Hoecker, Andreas | |
| dc.date | 1998-01-20 | |
| dc.date.accessioned | 2026-07-07T11:09:44Z | |
| dc.date.available | 2026-07-07T11:09:44Z | |
| dc.description | We reevaluate the hadronic contribution to the running of the QED fine structure constant \aqed at $s=M_{\rm Z}^2$. We use data from \ee\ annihilation and $τ$ decays at low energy and at the $q\bar{q}$ thresholds, where resonances occur. Using so-called spectral moments and the Operator Product Expansion (OPE), it is shown that a reliable theoretical prediction of the hadronic production rate $R(s)$ is available at relatively low energies. Its application improves significantly the precision on the hadronic vacuum polarization contribution. We obtain \daqedhZ $=(277.8\pm2.6)\times10^{-4}$ yielding $α^{-1}(M_{\rm Z}^2)=128.923\pm0.036$. Inserting this value in a global electroweak fit using current experimental input, we constrain the mass of the Standard Model Higgs boson to be $M_{\rm Higgs}=129^{+103}_{-62}~{\rm GeV}$. Analogously, we improve the precision of the hadronic contribution to the anomalous magnetic moment of the muon for which we obtain $a_μ^{\rm had}=(695.1\pm7.5)\times 10^{-10}$. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9801361 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9801361 | |
| dc.identifier | Phys.Lett.B419:419-431,1998 | |
| dc.identifier | doi:10.1016/S0370-2693(97)01512-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190571 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Improved Determination of $α(M_{\rm Z}^2$) and the Anomalous Magnetic Moment of the Muon | |
| dc.type | text |