Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$

Abstract

The hadronic vacuum polarization (HVP) contributions to the muon $g$$-$$2$ are the crucial quantity to resolve whether new physics is present or not in the comparison between the Standard Model (SM) prediction and experimental measurements at Fermilab. They are commonly and historically determined via dispersion relations using a vast catalogue of experimentally measured, low-energy $e^{+}{e}^{-}\to \mathrm{hadrons}$ cross section data as input. These dispersive estimates result in a SM prediction that exhibits a muon $g$$-$$2$ discrepancy of more than $5\sigma$ when compared to experiment. However, recent lattice QCD evaluations of the HVP and a new hadronic cross section measurement from the CMD-3 experiment favor a no-new-physics scenario and, therefore, exhibit a common tension with the previous $e^{+}{e}^{-}\to \mathrm{hadrons}$ data. This study explores the current and future implications of these two scenarios on other observables that are also sensitive to the HVP contributions in the hope that they may provide independent tests of the current tensions observed in the muon $g$$-$$2$.

arXiv comment8 pages, 2 figures

References in corpus (99)

• 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
• Measurement of the fine-structure constant as a test of the Standard Model
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• 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
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• 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
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• 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
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Precise measurement of the e+ e- to pi+ pi- (gamma) cross section with the Initial State Radiation method at BABAR
• Measurement of the Electron Magnetic Moment
• 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
• Hadronic vacuum polarization: $(g-2{)}_{\mu }$ versus global electroweak fits
• The muon $g$-2 and $\Delta \alpha$ connection
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Testing new physics with the electron g-2
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• 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
• 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
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Muon g-2 Theory: the Hadronic Part
• The muon g-2 and the bounds on the Higgs boson mass
• Constraints on the two-pion contribution to hadronic vacuum polarization
• An Update of the HLS Estimate of the Muon g-2
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• 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
• Measurement of the 1s-2s energy interval in muonium
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• 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
• Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab
• 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
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• Impact of correlations between $a_{\mu }$ and ${\alpha }_{QED}$ on the EW fit
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• Calculating the five-loop QED contribution to the electron anomalous magnetic moment: Graphs without lepton loops
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Weak Mixing Angle in the Thomson Limit
• The Mu-MASS (MuoniuM lAser SpectroScopy) experiment
• Tau anomalous magnetic moment form factor at Super B/Flavor factories
• Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• Hadronic Vacuum Polarization and the Lamb Shift
• Leading-order hadronic contribution to the electron and muon g-2
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• New physics at the MUonE experiment at CERN
• Search for the Electric Dipole Moment and anomalous magnetic moment of the tau lepton at tau factories
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• The Role of Mesons in Muon g-2
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ process cross section with the SND detector at the VEPP-2000 collider in the energy region $0.525<\sqrt{s}<0.883$ GeV
• Towards testing the magnetic moment of the tau at one part per million
• Muonium hyperfine structure and hadronic effects
• Precision Measurement of the Hadronic Contribution to the Muon Anomalous Magnetic Moment
• Hyperfine Splitting in Muonium: Accuracy of the Theoretical Prediction
• Tau spin correlations and the anomalous magnetic moment
• Erratum to "Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section between 600 and 900 MeV using initial state radiation"
• New physics behind the new muon $g$-2 puzzle?
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Direct measurement of alpha_QED(mZ) at the FCC-ee
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• Hadronic Vacuum Polarization Contribution to the Muonium Hyperfine Splitting
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Measurement of additional radiation in the initial-state-radiation processes $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma$ and $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ at BABAR
• The muon g-2 anomaly confronts new physics in $e^{\pm }$ and ${\mu }^{\pm }$ final states scattering

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• The anomalous magnetic moment of the muon in the Standard Model: an update
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• Hunting for a 17 MeV particle coupled to electrons
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Running of the Electroweak Gauge Couplings from First Principles
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Searching for hadronic scale baryonic and dark forces at $(g-2{)}_{\mu }$'s lattice-vs-dispersion front
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains