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      Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)

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          Abstract

          We reevaluate the hadronic contributions to the muon magnetic anomaly, and to the running of the electromagnetic coupling constant at the Z-boson mass. We include new pi+pi- cross-section data from KLOE, all available multi-hadron data from BABAR, a reestimation of missing low-energy contributions using results on cross sections and process dynamics from BABAR, a reevaluation of all experimental contributions using the software package HVPTools, together with a reanalysis of inter-experiment and inter-channel correlations, and a reevaluation of the continuum contributions from perturbative QCD at four loops. These improvements lead to a decrease in the hadronic contributions with respect to earlier evaluations. For the muon g-2 we find lowest-order hadronic contributions of (692.3 +- 4.2) 10^-10 and (701.5 +- 4.7) 10^-10 for the e+e- based and tau-based analyses, respectively, and full Standard Model predictions that differ by 3.6 sigma and 2.4 sigma from the experimental value. For the e+e- based five-quark hadronic contribution to alpha(MZ) we find Delta_alpha_had[5](MZ)=(275.7 +- 1.0) 10^-4. The reduced electromagnetic coupling strength at MZ leads to an increase by 7 GeV in the most probable Higgs boson mass obtained by the standard Gfitter fit to electroweak precision data.

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          Weak-Interaction Corrections to the Muon Magnetic Moment and to Muonic-Atom Energy Levels

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            Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e+e- -> pi+pi- cross section data from BABAR

            Using recently published, high-precision pi+pi- cross section data by the BABAR experiment from the analysis of e+e- events with high-energy photon radiation in the initial state, we reevaluate the lowest order hadronic contribution a_mu[had,LO] to the anomalous magnetic moment of the muon. We employ newly developed software featuring improved data interpolation and averaging, more accurate error propagation and systematic validation. With the new data, the discrepancy between the e+e- and tau-based results for the dominant two-pion mode reduces from previously 2.4 sigma to 1.5 sigma in the dispersion integral, though significant local discrepancies in the spectra persist. We obtain for the e+e- based evaluation amu[had,LO] = (695.5 +- 4.1) 10^-10, where the error accounts for all sources. The full Standard Model prediction of a_mu differs from the experimental value by 3.2 sigma.
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              Refinements in electroweak contributions to the muon anomalous magnetic moment

              , , (2010)
              Effects of strong interactions on the two loop electroweak radiative corrections to the muon anomalous magnetic moment, \(a_\mu=(g_\mu-2)/2\), are examined. Short-distance logs are shown to be unaffected. Computation of long-distance contributions is improved by use of an effective field theory approach that preserves the chiral properties of QCD and accounts for constraints from the operator product expansion. Small, previously neglected, two loop contributions, suppressed by a \(1-4\sin^2\theta_W\) factor, are computed and the complete three loop leading short-distance logs are reevaluated. These refinements lead to a reduction in uncertainties and a slight shift in the total electroweak contribution to \(a_\mu^{\rm EW} = 154(1)(2)\times 10^{-11}\) where the first error corresponds to hadronic uncertainties and the second is primarily due to the allowed Higgs mass range.
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                Author and article information

                Journal
                20 October 2010
                2011-10-25
                Article
                10.1140/epjc/s10052-010-1515-z
                1010.4180
                0b8beb19-cb7e-4e92-97bc-759da0668da8

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                CERN-OPEN-2010-021; LAL 10-155
                Eur.Phys.J.C71:1515,2011
                13 pages, 10 figures, v2 corrected missing KKpi contribution in Delta alpha_had(MZ) evaluation
                hep-ph

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