Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD

Göckeler, M, Horsley, R, Kürzinger, W, Pleiter, D, Rakow, PEL ORCID: 0000-0003-4486-2158 and Schierholz, G (2003) Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD. Nucl.Phys.B, 688 (1-2). pp. 135-164.

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Abstract

We compute the vacuum polarisation on the lattice in quenched QCD using non-perturbatively improved Wilson fermions. Above Q^2 of about 2 GeV^2 the results are very close to the predictions of perturbative QCD. Below this scale we see signs of non-perturbative effects which we can describe by the use of dispersion relations. We use our results to estimate the light quark contribution to the muon's anomalous magnetic moment. We find the result 446(23) x 10^{-10}, where the error only includes statistical uncertainties. Finally we make some comments on the applicability of the Operator Product Expansion to our data.

Item Type:	Article
Additional Information:	38 pages, 15 figures
Uncontrolled Keywords:	hep-lat, hep-lat, hep-ph
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 09:27
Last Modified:	17 Dec 2022 01:41
DOI:	10.1016/j.nuclphysb.2004.03.026
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/491