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$.

8 pages, 2 figures

References in corpus (35)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Measurement of the fine-structure constant as a test of the Standard Model
• 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
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Measurement of the Electron Magnetic Moment
• 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
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• 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
• The muon g-2 and the bounds on the Higgs boson mass
• Constraints on the two-pion contribution to hadronic vacuum polarization
• 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
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab
• 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
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• 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)
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• Towards testing the magnetic moment of the tau at one part per million
• 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"
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• New physics behind the new muon $g$-2 puzzle?
• 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

Cited by in corpus (13)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• 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