Improved determination of alpha (M(Z)**2) and the anomalous magnetic moment of the muon

Davier, Michel; Hocker, Andreas

doi:10.1016/S0370-2693(97)01512-8

Improved determination of alpha (M(Z)**2) and the anomalous magnetic moment of the muon

Michel Davier
(
- Orsay, LAL
)
,
Andreas Hocker
(
- Orsay, LAL
)

Nov, 1997

18 pages

Published in:

Phys.Lett.B 419 (1998) 419-431

e-Print:

hep-ph/9801361 [hep-ph],
hep-ph/9711308 [hep-ph]

DOI:

10.1016/S0370-2693(97)01512-8

Report number:

LAL-97-85

View in:

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Abstract:

We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar 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 delta_alpha^had = (277.8 +/- 2.6) x 10^-4 yielding alpha^-1(M_Z^2) = 128.923 +/- 0.036$. 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_Higgs = (129 +103 -62) GeV. Analogously, we improve the precision of the hadronic contribution to the anomalous magnetic moment of the muon for which we obtain a_mu^had = (695.1 +/- 7.5) x 10^-10.

Note:

tex, 18 pages and 3 figures Report-no: LAL 97-85

electron positron: annihilation
hadron: electroproduction
cross section: energy dependence
cross section: ratio
quantum electrodynamics: coupling constant
vacuum polarization: hadronic
muon: magnetic moment
quantum chromodynamics: perturbation theory
quantum chromodynamics: nonperturbative
operator product expansion

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