Two and Three Pseudoscalar Production in $e^{+}{e}^{-}$ annihilation and their contributions to $(g-2{)}_{\mu }$

Abstract

A coherent study of $e^{+}{e}^{-}$ annihilation into two (${\pi }^{+}{\pi }^{-}$,$K^{+}{K}^{-}$) and three (${\pi }^{+}{\pi }^{-}{\pi }^0,{\pi }^{+}{\pi }^{-}\eta$) pseudoscalar meson production is carried out within the framework of resonance chiral theory in energy region $E\lesssim 2\mathrm{GeV}$. The work of {[}L. Y. Dai, J. Portolés, and O. Shekhovtsova, Phys. Rev. D 88,056001 (2013){]} is revisited with the latest experimental data and a joint analysis of two pseudoscalar meson production. Hence, we evaluate the lowest order hadronic vacuum polarization contributions of those two and three pseudoscalar processes to the anomalous magnetic moment of the muon. We also estimate some higher-order additions led by the same hadronic vacuum polarization. Combined with the other contributions from the standard model, the theoretical prediction differs still by $(21.6\pm 7.4)\times 10^{-10}$ (2.9$\sigma$) from the experimental value.

arXiv comment41 pages, 2 figures, 4 tables, to be the same as the published version

References in corpus (76)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Three-pion contribution to hadronic vacuum polarization
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Reanalysis of Hadronic Cross Section Measurements at CMD-2
• Measurement of the ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to {\pi }^{+}{\pi }^{-}$ Cross Section between 600 and 900 MeV Using Initial State Radiation
• Precise Measurement of the e+ e- --> pi+ pi- (gamma) Cross Section with the Initial-State Radiation Method at BABAR
• High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector
• Towards a consistent estimate of the chiral low-energy constants
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Higher-Order Hadronic Contributions to the Anomalous Magnetic Moment of Leptons
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$ and the dipion contribution to the muon anomaly with the KLOE detector
• The $e^{+}{e}^{-}\to 2({\pi }^{+}{\pi }^{-}){\pi }^0$, 2(π^+π^-)η$,$K^+ K^-π^+π^-π^0$and$K^+ K^-π^+π^-η$ Cross Sections Measured with Initial-State Radiation
• Effective Field Theory Description of the Pion Form Factor
• Precision measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma )$ and determination of the ${\pi }^{+}{\pi }^{-}$ contribution to the muon anomaly with the KLOE detector
• A sum rule approach to the violation of Dashen's theorem
• Study of e+e- --> pi+ pi- pi0 process using initial state radiation with BABAR
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• Odd-intrinsic-parity processes within the Resonance Effective Theory of QCD
• Electroweak Hadronic Contributions to the muon g-2
• omega --> pi0 gamma* and phi --> pi0 gamma* Transition form factors in dispersion theory
• Decay of pseudoscalars into lepton pairs and large-Nc QCD
• tau -> pi pi pi nu_tau decays and the a_1(1260) off-shell width revisited
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Measurement of the Pion Form Factor in the Energy Range 1.04-1.38 GeV with the CMD-2 Detector
• <VAP> Green Function in the Resonance Region
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ below 0.98 GeV
• Measurements of the parameters of the $\varphi (1020)$ resonance through studies of the processes $e^{+}{e}^{-}\to K^{+}{K}^{-}$, $K_S{K}_L$ and ${\pi }^{+}{\pi }^{-}{\pi }^0$
• The hadronic off-shell width of meson resonances
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Precision Measurement of the e+e- --> K+K-(gamma) Cross Section with the Initial-State Radiation Method at BaBar
• Lepton flavour violating semileptonic tau decays in constrained MSSM-seesaw scenarios
• Chiral Sum-Rules for ${\mathcal{L}}_{(6)}^{WZ}$ Parameters and Application to ${\pi }^0,\eta ,{\eta }^{\prime }$ Decays
• The vector form factor of the pion from unitarity and analyticity: a model-independent approach
• Resonance Chiral Lagrangian Currents and Experimental Data for ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$
• Measurement of $e^{+}{e}^{-}\to K^{+}{K}^{-}$ cross section at $\sqrt{s}=2.00-3.08$ GeV
• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ in the energy region $\sqrt[]{s}$ from 0.98 to 1.38 GeV.}
• QCD Short-distance Constraints and Hadronic Approximations
• Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
• Hadron structure in tau -> KKpi nu_tau decays
• One meson radiative tau decays
• Study of the process e+e- to pi+pi-pi+pi-pi0 with CMD-2 detector
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Two photon couplings of the lightest isoscalars from BELLE data
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Measurement of omega meson parameters in pi^+pi^-pi^0 decay mode with CMD-2
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Measurement of e+e- -> phi -> K+K- cross section with the CMD-2 detector at VEPP-2M Collider
• Partial waves and large $N_C$ resonance sum rules
• Dispersion relations for ${\eta }^{\prime }\to \eta \pi \pi$
• Effective-field theory analysis of the ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section in the center-of-mass energy range 1.22--2.00 GeV with the SND detector at the VEPP-2000 collider
• Measurement of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to {\mathbf{K}}^{+}{\mathbf{K}}^{-}$ cross section in the energy range $\sqrt{\mathbf{s}}=1.05-2.0$ GeV
• Study of the process $e^{+}{e}^{-}\to K^{+}{K}^{-}$ in the center-of-mass energy range 1010--1060~MeV with the CMD-3 detector
• Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications
• Precision Measurement of the Hadronic Contribution to the Muon Anomalous Magnetic Moment
• Study of η-η' mixing from radiative decay processes
• Final-sate radiation in electron-positron annihilation into a pion pair
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Measurement of the e+e- -> K+K- cross section in the energy range s**(1/2) = 1.04 - 1.38 GeV with the SND detector in the experiment at the VEPP-2M e+e- collider
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section with the SND detector at the VEPP-2000 collider
• Basics of Resonance Chiral Theory
• Measurement of the $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ cross section with the CMD-3 detector at the VEPP-2000 collider
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Scalar-involved three-point Green functions and their phenomenology
• Pion Polarizabilities from $\gamma \gamma \to \pi \pi$ Analysis
• OPE of Green Functions of Chiral Currents
• Pascalutsa-Vanderhaeghen light-by-light sumrule from photon-photon collisions
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section from 0.7 GeV to 3.0 GeV via initial-state radiation

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