Publisher’s Note: Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm [Phys. Rev. Lett.<b>89</b>, 101804 (2002)]

Bennett, G. W.; Bousquet, B.; Brown, H.; Bunce, G.; Carey, R. M.; Cushman, P.; Danby, G. T.; Debevec, P. T.; Deile, M.; Deng, Hui; Deninger, W.; Dhawan, S. K.; Дружинин, В. П.; Duong, L.; Efstathiadis, E.; Farley, F. J. M.; Fedotovich, G. V.; Girón, S.; Gray, F.; Grigoriev, D.N.; Grosse‐Perdekamp, M.; Großmann, A.; Hare, M.; Hertzog, D. W.; Huang, X. T.; Hughes, V. W.; Iwasaki, M.; Jungmann, K.; Kawall, D.; Khazin, B. I.; Kindem, J.; Krienen, F.; Kronkvist, I.; Lam, A.; Larsen, R.; Lee, Y. Y.; Logashenko, I.B.; McNabb, R.; Meng, W.; Mi, J.; Miller, J.; Morse, W. M.; Nikas, D.; Onderwater, C. J. G.; Orlov, Y.; Özben, C.; Paley, J.; Peng, Qiu‐He; Polly, C. C.; Pretz, J.; Prigl, R.; Putlitz, G. zu; Qian, T.; Redin, S. I.; Rind, O.; Roberts, B. L.; Ryskulov, N.M.; Shagin, P.; Semertzidis, Y. K.; Shatunov, Yu. M.; Sichtermann, E. P.; Solodov, E. P.; Sossing, M.; Steinmetz, Andrew; Sulak, L.; Trofimov, A.; Urner, D.; Walter, P. von; Warburton, D.; Yamamoto, A.

doi:10.1103/physrevlett.89.129903

Cited by 194 publications

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“…The prediction from this work is listed as KNT18, which defines the uncertainty band that other analyses are compared to. The current uncertainty on the experimental measurement [1][2][3][4] is given by the light blue band. The light grey band represents the hypothetical situation of the new experimental measurement at Fermilab yielding the same mean value for a exp µ as the BNL measurement, but achieving the projected four-fold improvement in its uncertainty [5].…”

Section: Sm Prediction Of G − 2 Of the Muonmentioning

confidence: 99%

“…The anomalous magnetic moment of the muon, a µ = (g − 2) µ /2, stands as an enduring test of the Standard Model (SM), where the ∼ 3.5σ (or higher) discrepancy between the experimental measurement a exp µ and the SM prediction a SM µ could be an indication of the existence of new physics beyond the SM. For a exp µ , the value is dominated by the measurements made at the Brookhaven National Laboratory (BNL) [1][2][3], resulting in a world average of [4] a exp µ = 11 659 209.1 (5.4) (3.3) × 10 −10 .…”

Section: Introductionmentioning

confidence: 99%

“…The hadronic vacuum polarisation contributions can be separated into the leading-order (LO) and higher-order contributions, where the LO and next-to-leading order (NLO) contributions are calculated in this work. 1 These are calculated utilising dispersion integrals and the experimentally measured cross section, and K(s) is a well known kernel function [10,11], given also in equation (45) of [7], but differing by a normalisation factor of m 2 µ /(3s). This kernel function (which behaves as K(s) ∼ m 2 µ /(3s) at low energies), coupled with the factor of 1/s in the integrand of equation (1.4), causes the hadronic vacuum polarisation contributions to be dominated by the low energy domain.…”

Section: Introductionmentioning

confidence: 99%

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Muon g−2 and α(MZ2) : A new data-based analysis

2018

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This work presents a complete re-evaluation of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon, a had, VP µ and the hadronic contributions to the effective QED coupling at the mass of the Z boson, ∆α had (M 2 Z ), from the combination of e + e − → hadrons cross section data. Focus has been placed on the development of a new data combination method, which fully incorporates all correlated statistical and systematic uncertainties in a bias free approach. All available e + e − → hadrons cross section data have been analysed and included, where the new data compilation has yielded the full hadronic R-ratio and its covariance matrix in the energy range m π ≤ √ s ≤ 11.2 GeV. Using these combined data and perturbative QCD above that range results in estimates of the hadronic vacuum polarisation contributions to g − 2 of the muon of a had, LO VP µ = (693.26 ± 2.46) × 10 −10 and a had, NLO VP µ = (−9.82 ± 0.04) × 10 −10 . The new estimate for the Standard Model prediction is found to be a SM µ = (11 659 182.04±3.56)×10 −10 , which is 3.7σ below the current experimental measurement. The prediction for the five-flavour hadronic contribution to the QED coupling at the Z boson mass is ∆α (5) had (M 2 Z ) = (276.11±1.11)×10 −4 , resulting in α −1 (M 2 Z ) = 128.946±0.015. Detailed comparisons with results from similar related works are given. arXiv:1802.02995v2 [hep-ph] 13 Jul 2018 4 Conclusions and future prospects for the muon g − 2 39

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Section: Sm Prediction Of G − 2 Of the Muonmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Muon g−2 and α(MZ2) : A new data-based analysis

2018

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“…The hadronic contribution to photon vacuum polarization function plays particularly important role, since it is the main source of uncertainties in theoretical calculation of muon anomalous magnetic moment a µ . The last precise measurement of a µ , together with the last decades data for electrohadron production, leads to an evidence of tension between Standard Theory and the experiments [1,2]. Similar confrontation of the theoretical technique with the experimental accuracy is offered by long time known [3] interference effect between leptonic and hadronic vacuum polarization functions in close vicinity of narrow resonances: ω and φ as well as heavier quarkonia the J/Ψ, Ψ and Υ's.…”

Section: Introductionmentioning

confidence: 95%

Hadronic Vacuum Polarization in $e^{+}e^{-}\to \mu ^{+}\mu ^{-}$ Process Below 3 GeV

Sauli¹

2017

Acta Phys. Pol. B Proc. Suppl.

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The interference effect between leptonic radiative corrections and hadronic polarization functions is calculated via optical theorem for µ−pair productions. It is achieved within the use of the last data for σ h (e + e − → hadrons) from SND,CMD,CMD-2,BABAR and BESSIII experimental Collaborations. The paper takes into account specific experimental conditions and the result is compared with KLOE experiment for µ − µ + production at φ meson energy. Small, but non-negligible tension between theory and experiment is discussed.

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“…One of the most challenging issues of the elementary particle physics, which engages the entire pattern of interactions within the Standard Model, is the muon anomalous magnetic moment a µ = (g µ − 2)/2. The persisting few standard deviations discrepancy between the experimental measurements [83,84] and theoretical evaluations [85,86] of this quantity may be an evidence for the existence of a new physics beyond the Standard Model, that brings the accuracy of an estimation of a µ to the top of the agenda.…”

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confidence: 99%

Dispersive approach to QCD and hadronic contributions to electroweak observables

Нестеренко

2017

EPJ Web Conf.

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Abstract. The dispersive approach to QCD is briefly overviewed and its application to the assessment of hadronic contributions to electroweak observables is discussed.Various strong interaction processes, as well as the hadronic contributions to electroweak observables, are governed by the hadronic vacuum polarization function Π(q 2 ), related Adler function D(Q 2 ) [1], and the function R(s), which is identified with the R-ratio of electron-positron annihilation into hadrons. The hadronic vacuum polarization function constitutes the scalar part of the hadronic vacuum polarization tensorwhereas the definition of functions R(s) and D(Q 2 ) is given in Eqs. (3) and (4), respectively. The QCD asymptotic freedom makes it possible to study the high-energy behavior of the functions Π(q 2 ) and D(Q 2 ) directly within perturbation theory. At the same time, the description of the function R(s) additionally requires the use of pertinent dispersion relations, see papers [2-6] and references therein. As for the low-energy hadron dynamics, it can only be accessed within nonperturbative approaches, for instance, analytic gauge-invariant QCD [7][8][9][10] A certain nonperturbative hint about the strong interactions in the infrared domain is provided by the relevant dispersion relations. The latter are widely employed in a variety of issues of contemporary theoretical particle physics, such as, for example, the extension of applicability range of chiral perturbation theory [34,35], the precise determination of parameters of resonances [36], the assessment of the hadronic light-by-light scattering [37], and many others (see, e.g., papers [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] and references therein).Basically, the dispersion relations render the kinematic restrictions on pertinent physical processes into the mathematical form and thereby impose stringent intrinsically nonperturbative constraints on the relevant quantities. In particular, the complete set of dispersion relations (see 55,56] a

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Publisher’s Note: Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm [Phys. Rev. Lett.89, 101804 (2002)]

Cited by 194 publications

References 0 publications

Muon g−2 and α(MZ2) : A new data-based analysis

Muon g−2 and α(MZ2) : A new data-based analysis

Hadronic Vacuum Polarization in $e^{+}e^{-}\to \mu ^{+}\mu ^{-}$ Process Below 3 GeV

Dispersive approach to QCD and hadronic contributions to electroweak observables

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