Predictions for <i>g</i>-2 of the muon and α<sub>QED</sub>(<i>M<sub>Z</sub></i><SUP>2</SUP>) -: art. no. 093003



Hagiwara, K, Martin, AD, Nomura, D and Teubner, T ORCID: 0000-0002-0680-0776
(2004) Predictions for <i>g</i>-2 of the muon and α<sub>QED</sub>(<i>M<sub>Z</sub></i><SUP>2</SUP>) -: art. no. 093003. PHYSICAL REVIEW D, 69 (9). 093003-.

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Abstract

We calculate (g-2) of the muon and the QED coupling alpha(M_Z^2), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently re-analysed CMD-2 data on e^+e^- -> pi^+ pi^-. We carefully combine a wide variety of data for the e^+e^- production of hadrons, and obtain the optimum form of R(s) = sigma_had^0(s)/sigma_pt(s), together with its uncertainty. Our results for the hadronic contributions to g-2 of the muon are a_mu^(had, LO) = (692.4 +- 5.9_exp +- 2.4_rad) * 10^(-10) and a_mu^(had, NLO) = (-9.8 +- 0.1_exp +- 0.0_rad) * 10^(-10), and for the QED coupling Delta alpha^(5)_had (M_Z^2)= (275.5 +- 1.9_exp +- 1.3_rad) * 10^(-4). These yield (g-2)/2 = 0.00116591763(74), which is about 2.4 sigma below the present world average measurement, and alpha(M_Z^2)^(-1) = 128.954 +- 0.031. We compare our (g-2) value with other predictions and, in particular, make a detailed comparison with the latest determination of (g-2) by Davier et al.

Item Type: Article
Additional Information: 83 pages, 10 Tables, LaTeX, 28 PostScript figures included. Electromagnetic contributions updated; two Refs. added and typos corrected. Version to appear in Phys. Rev. D
Uncontrolled Keywords: hep-ph, hep-ph
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 30 Nov 2009 12:42
Last Modified: 14 Oct 2023 11:21
DOI: 10.1103/PhysRevD.69.093003
Publisher's Statement : ©2004 The American Physical Society Users are advised to view the Statement of Copyright Copyright 2008© by The American Physical Society, as it relates to the published version -http://prd.aps.org/info/copyright.html
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URI: https://livrepository.liverpool.ac.uk/id/eprint/493