$\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization

Abstract

We compute for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon $g-2$. We show that $\tau$-based results agree with the available lattice window evaluations and with the full result. On the intermediate window, where all lattice evaluations are rather precise and agree, $\tau$-based results are compatible with them. This is particularly interesting, given that the disagreement of the $e^{+}{e}^{-}$ data-driven result with the lattice values in this window is the main cause for their discrepancy, affecting the interpretation of the $a_{\mu }$ measurement in terms of possible new physics.

arXiv comment15 pages, 4 figures, 4 tables. Accepted for publication in PLB

References in corpus (96)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• Reevaluation of the Hadronic Contributions to the Muon g-2 and to alpha(MZ)
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• 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
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Remarks on higher-order hadronic corrections to the muon g-2
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• On the Foundations of Chiral Perturbation Theory
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Hadronic contributions to $(g-2)$ of the leptons and to the effective fine structure constant $\alpha (M_Z^2)$
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• 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
• Measurement of the Strong Coupling Constant and the Vector and Axial-Vector Spectral Functions in Hadronic Tau Decays
• 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
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Towards a consistent estimate of the chiral low-energy constants
• High-Statistics Study of the tau^- -> pi^- pi^0 nu_tau Decay
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• Measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma (\gamma ))$ and the dipion contribution to the muon anomaly with the KLOE detector
• Single meson contributions to the muon's anomalous magnetic moment
• Update of the ALEPH non-strange spectral functions from hadronic $\tau$ decays
• 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
• The Discrepancy Between tau and e+e- Spectral Functions Revisited and the Consequences for the Muon Magnetic Anomaly
• Hadronic Structure in the Decay ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$
• Light-by-light scattering sum rules in light of new data
• Constraints on the two-pion contribution to hadronic vacuum polarization
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• Electromagnetic and strong isospin-breaking corrections to the muon $g-2$ from Lattice QCD+QED
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Kaon-box contribution to the anomalous magnetic moment of the muon
• Precision Measurements of the Timelike Electromagnetic Form Factors of Pion, Kaon, and Proton
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• Isospin Violation and the Magnetic Moment of the Muon
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Strong-isospin-breaking correction to the muon anomalous magnetic moment from lattice QCD at the physical point
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• Measurement of the Pion Form Factor in the Energy Range 1.04-1.38 GeV with the CMD-2 Detector
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Hadronic tau decays as New Physics probes in the LHC era
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Dispersive representation of the pion vector form factor in $\tau \to \pi \pi {\nu }_{\tau }$ decays
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Long-distance radiative corrections to the di-pion tau lepton decay
• Standard Model radiative corrections in the pion form factor measurements do not explain the $a_{\mu }$ anomaly
• Hadronic vacuum polarization and vector-meson resonance parameters from $e^{+}{e}^{-}\to {\pi }^0\gamma$
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Rho - omega mixing in chiral perturbation theory
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• A dispersive analysis of the pion vector form factor and ${\tau }^{-}\to K^{-}{K}_S{\nu }_{\tau }$ decay
• Electroweak Radiative Corrections to Semileptonic Tau Decays
• Exclusive hadronic tau decays as probes of non-SM interactions
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• Model-dependent radiative corrections to tau- -> pi- pi0 nu revisited
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Data-based determination of the isospin-limit light-quark-connected contribution to the anomalous magnetic moment of the muon
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• Baryonic content of the pion

Cited by in corpus (15)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Light scalars within the $\mathcal{C}\mathcal{P}$-conserving Aligned-two-Higgs-doublet model
• Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• HEFT approach to investigate the muon g-2 anomaly at a muon collider
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Electromagnetic corrections in hadronic tau decays
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$