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The problem of estimating the 10th order QED corrections to the muon anomalous magnetic moment is reconsidered. The incorporation of the recently improved contributions to the $\alpha^4$ and $\alpha^5$- corrections to $a_{\mu}$ within the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev

The QED contribution to the anomalous magnetic moments of electron and muon are known very precisely up to the order $\alpha^4$. However, the knowledge of $\alpha^5$ term will also be required when the precision of measurement improves…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Kinoshita , M. Nio

We have completed the evaluation of all mass-dependent $\alpha^4$ QED contributions to the muon $g-2$, or $a_\mu$, in two or more different formulations. Their numerical values have been greatly improved by an extensive computer…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kinoshita , M. Nio

New estimates of the 10th order QED corrections to the muon anomalous magnetic moment are presented. The estimates include the information on definite improved 10th order QED contributions to $a_{\mu}$, calculated by Kinoshita and Nio. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. L. Kataev

We update the Standard Model predictions of the anomalous magnetic moment of the muon, a_\mu = (g-2)/2, and the value of the QED coupling at the Z-boson mass, incorporating the new e^+e^- \to \pi\pi data obtained by CMD-2 and KLOE, as well…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

This paper presents the complete QED contribution to the electron g-2 up to the tenth order. With the help of the automatic code generator, we have evaluated all 12672 diagrams of the tenth-order diagrams and obtained 9.16…

High Energy Physics - Phenomenology · Physics 2015-03-20 Tatsumi Aoyama , Masashi Hayakawa , Toichiro Kinoshita , Makiko Nio

This talk summarizes the recent developments in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant $\alpha(s)$, at $s=M_{\rm Z}^2$, and to the anomalous magnetic moment of the muon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michel Davier

The leading order hadronic contribution to the muon magnetic moment anomaly, $a^{HAD}_\mu$, is determined entirely in the framework of QCD. The result in the light-quark sector, in units of $10^{-10}$, is $a^{HAD}_\mu|_{uds} =686 \pm 26$,…

High Energy Physics - Phenomenology · Physics 2018-03-14 C. A. Dominguez , K. Schilcher , H. Spiesberger

This talk summarizes the recent development in the evaluation of the leading order hadronic contributions to the running of the QED fine structure constant \alpha(s), at $s=M_{\rm Z}^2$, and to the anomalous magnetic moments of the muon…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hoecker

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^+…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

The comparison of definite numerical values of analytically evaluated asymptotic expressions for order $\alpha^4$ and $\alpha^5$ QED contributions to the muon anomalous magnetic moment with the results of numerical calculations are…

High Energy Physics - Phenomenology · Physics 2016-12-07 A. L. Kataev

We reevaluate the dispersion integrals of the leading order hadronic contributions to the running of the QED fine structure constant alpha(s) at s=M_Z^2, and to the anomalous magnetic moments of the muon and the electron. Finite-energy QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , A. Hocker

We calculate (g-2)/2 of the muon, by improving the determination of the hadronic vacuum polarisation contribution, a_mu^{had,LO}, and its uncertainties. The different e+e- data sets for each exclusive (and the inclusive) channel are…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Hagiwara , A. D. Martin , Daisuke Nomura , T. Teubner

We have carried out a new evaluation of the eighth-order contribution to the electron g-2 using FORTRAN codes generated by an automatic code generator gencodeN. Comparison of the "new" result with the "old" one has revealed an inconsistency…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio

We present the results of a new evaluation of the anomalous magnetic moment a_mu=(g_mu-2)/2 of the muon where the role of input data needed in the evaluation is lowered in the interval between 1.2 and 3.0 GeV below charm threshold. This is…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Groote , J. G. Körner , J. Maul

In order to improve the theoretical prediction of the electron anomalous magnetic moment $a_e$ we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops.…

High Energy Physics - Phenomenology · Physics 2018-02-14 Tatsumi Aoyama , Toichiro Kinoshita , Makiko Nio

We update our Standard Model predictions for g-2 of the muon and for the hadronic contributions to the running of the QED coupling, Delta alpha_had^(5)(M_Z^2). Particular emphasis is put on recent changes in the hadronic contributions from…

High Energy Physics - Phenomenology · Physics 2015-05-28 K. Hagiwara , R. Liao , A. D. Martin , Daisuke Nomura , T. Teubner

A comprehensive as of November 2003 and evaluated data compilation on sigma_tot(e+ e- --> hadrons) was used to estimate the lowest order hadronic contribution to the muon anomalous magnetic moment. The preliminary result is a_mu(had, LO) =…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Ezhela , S. B. Lugovsky , O. V. Zenin

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…

High Energy Physics - Phenomenology · Physics 2016-02-17 M. Davier , A. Hoecker

QED, Hadronic, and Electroweak Standard Model contributions to the muon anomalous magnetic moment, a_mu = (g_mu-2)/2, are reviewed. Theoretical uncertainties in the prediction a_mu^SM = 116591597(67) times 10^{-11} are scrutinized. Effects…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki , William J. Marciano
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