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

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arxiv 2408.01123 v2 pith:BZRW6YIY submitted 2024-08-02 hep-ph hep-exhep-lat

Luca Di Luzio , Alexander Keshavarzi , Antonio Masiero , Paride Paradisi This is my paper · ORCID
classification hep-phhep-exhep-lat
keywords muonhadroniccontributionscrosscurrentdataexperimenthadrons
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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 $e^+e^-\to \,\rm{hadrons}$ 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 $e^+e^-\to \,\rm{hadrons}$ 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$.

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Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards testing $(g-2)_\tau$ in $e^+e^-\to\tau^+\tau^-$: radiative corrections and projections for Belle II

    hep-ph 2025-05 conditional novelty 7.0 of 10

    A complete one-loop QED calculation for polarized e+e- to tau+tau- is implemented in the McMule Monte-Carlo code, showing that Belle II with a polarized beam could test the tau anomalous magnetic moment at the 10^-5 level.

  2. The running of the electroweak gauge couplings from first principles

    hep-lat 2026-07 accept novelty 6.5 of 10

    Lattice QCD plus pQCD matching yields Δα_had^(5)(M_Z²)=0.027821(34)lat(35)pQCD at 0.17% precision and a up-to-7σ tension with e+e- data near 1 GeV².

  3. Probing New Physics with the Electron Yukawa coupling

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Simplified models that can chirally enhance the electron Yukawa coupling are classified, and their reach at FCC-ee and via (g-2)_e is quantified, showing (g-2)_e is often competitive but not always.

  4. Searching for hadronic scale baryonic and dark forces at $(g-2)_\mu$'s lattice-vs-dispersion front

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A flavor-universal GeV-scale vector boson's direct contribution to (g-2)_mu cancels against its on-shell contribution to the e+e- -> hadrons data when the data-driven HVP is used, redirecting the search to the lattice...

  5. Muon lifetime and Fermi constant: an update

    hep-ph 2026-07 accept novelty 4.5 of 10

    Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.

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