Improved determination of α(MZ2) and the anomalous magnetic moment of the muon

Davier, M.; Höcker, A.

doi:10.1016/s0370-2693(97)01512-8

Cited by 142 publications

(172 citation statements)

References 51 publications

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“…The dependence of this result on the actual value of the b quark threshold and the b quark mass m b = 4.25 ± 0.15 GeV [18] in the MS scheme is negligible. The behaviour of R e + e − (s) at low values of s in the region of hadronic resonances may be described by perturbative QCD in the same way as the spectral functions from hadronic τ decays [275]. The perturbative prediction for R e + e − is written in terms of a the so-called Adler D-function:…”

Section: E + E − Annihilation At Low Energiesmentioning

confidence: 99%

“…The non-perturbative part of D(s) in the OPE is a power series in terms of 1/s n starting at n = 3. In [276] the same data as in [275] are used to determine the moments R kl e + e − (4 GeV 2 ), kl = 20, 30, 31, 32, 33. A simultaneous fit of the QCD prediction for these moments with α S (2 GeV), the strange quark mass and the first two non-perturbative terms proportional to 1/s 3 and 1/s 4 gives a good description of the data.…”

Section: E + E − Annihilation At Low Energiesmentioning

confidence: 99%

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Tests of quantum chromo dynamics at e⁺e⁻ colliders

Kluth¹

2006

Rep. Prog. Phys.

107

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Abstract.The current status of tests of the theory of strong interactions, Quantum Chromo Dynamics (QCD), with data from hadron production in e + e − annihilation experiments is reviewed. The LEP experiments ALEPH, DELPHI, L3 and OPAL have published many analyses with data recorded on the Z 0 resonance at √ s = 91.2 GeV and above up to √ s > 200 GeV. There are also results from SLD at √ s = 91.2 GeV and from reanalysis of data recorded by the JADE experiment at 14 ≤ √ s ≤ 44 GeV. The results of studies of jet and event shape observables, of particle production and of quark gluon jet differences are compared with predictions by perturbative QCD calculations. Determinations of the strong coupling constant α S (m Z 0 ) from jet and event shape observables, scaling violation and fragmentation functions, inclusive observables from Z 0 decays, hadronic τ decays and hadron production in low energy e + e − annihilation are discussed. Updates of the measurements are performed where new data or improved calculations have become available. The best value of α S (m Z 0 ) is obtained from an average of measurements using inclusive observables calculated in NNLO QCD: α S (m Z 0 ) = 0.1211 ± 0.0021 where the error is dominated by theoretical systematic uncertainties. The other measurements of α S (m Z 0 ) are in good agreement with this value. Finally, investigations of the gauge structure of QCD are summarised and the best values for the colour factors are determined: C A = 2.89 ± 0.21 C F = 1.30 ± 0.09 with errors dominated by systematic uncertainties and in good agreement with the expectation from QCD with the SU(3) gauge symmetry.

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Section: E + E − Annihilation At Low Energiesmentioning

confidence: 99%

Section: E + E − Annihilation At Low Energiesmentioning

confidence: 99%

Tests of quantum chromo dynamics at e⁺e⁻ colliders

Kluth¹

2006

Rep. Prog. Phys.

107

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“…polarisation (∆α (5) had (m 2 Z )): There are also several evaluations of ∆α (5) had (m 2 Z ) [12][13][14][15][16][17][18][19] which are more theory-driven. One of the most recent ones (Reference [18]) also includes the new results from BES, yielding 0.02738 ± 0.00020.…”

Section: Theoretical and Parametric Uncertaintiesmentioning

confidence: 99%

Electroweak fits at LEP

Lançon

2002

Nuclear Physics B - Proceedings Supplements

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High precision electroweak measurements performed over ten years at LEP and SLC have allowed to constrain the Standard Model of electroweak interactions. The model have been used to predict the mass of the top quark and to set limits on the mass of the Higgs boson. Why electroweak fits?Electroweak fits have been extensively used at LEP and SLC for testing the Standard Model at the level of its quantum corrections, searching for deviations that may signal the presence of new physics. They have also successively predicted the top quak mass prior to its discovery and recently, allowed to set limit on the Higgs boson mass. Sensitivity to top quark and Higgs boson masses can be infered from the following exemple relation :where ∆r contains several terms: ∆α (due to light fermion masses), a negative term (several %) proportional to m 2 t and a relatively small (below 1%) term proportional to ln(m H ). Therefore, the inferred constraints on m H are much weaker than those on m t .Before LEP startup, the W and Z boson masses were measured to be 80.000 ± 0.360 GeV and 91.120 ± 0.160 GeV respectively. These measurements were equivalent to a precision on the weak mixing angle sin 2 θ W of 3.7% worse than the direct measurement itself: 0.227 ± 0.006 corresponding to 2.6%. That is the reason why inputs to the Standard Model fits were α, G F and sin 2 θ W .

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“…The standard model value of a µ has measurable contributions from three types of radiative processes: QED loops containing leptons (e, µ, τ ) and photons; [8] hadronic loops containing hadrons in vacuum polarization loops; [26,27,28,29,30,31,32,33,34,35,36,37] and weak loops involving the W and Z weak gauge bosons (the standard model Higgs contribution is negligible), [26] a µ (SM) = a µ (QED) + a µ (Had) + a µ (Weak). (4) A significant difference between the experimental value and the standard model prediction would signify the presence of new physics.…”

Section: Introduction and Theory Of The Lepton Anomaliesmentioning

confidence: 99%

Future Muon Dipole Moment Measurements

Roberts

2005

Nuclear Physics B - Proceedings Supplements

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From the famous experiments of Stern and Gerlach to the present, measurements of magnetic dipole moments, and searches for electric dipole moments of "elementary" particles have played a major role in our understanding of sub-atomic physics. In this talk I discuss the progress on measurements and theory of the magnetic dipole moment of the muon. I also discuss a new proposal to search for a permanent electric dipole moment (EDM) of the muon and put it into the more general context of other EDM searches. These experiments, along with searches for the lepton flavor violating decays µ → eγ and µ − + A → e − + A, provide a path to the high-energy frontier through precision measurements.

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Improved determination of α(MZ2) and the anomalous magnetic moment of the muon

Cited by 142 publications

References 51 publications

Tests of quantum chromo dynamics at e⁺e⁻ colliders

Tests of quantum chromo dynamics at e⁺e⁻ colliders

Electroweak fits at LEP

Future Muon Dipole Moment Measurements

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Improved determination of α(MZ2) and the anomalous magnetic moment of the muon

Cited by 142 publications

References 51 publications

Tests of quantum chromo dynamics at e+e− colliders

Tests of quantum chromo dynamics at e+e− colliders

Electroweak fits at LEP

Future Muon Dipole Moment Measurements

Contact Info

Product

Resources

About

Tests of quantum chromo dynamics at e⁺e⁻ colliders

Tests of quantum chromo dynamics at e⁺e⁻ colliders