Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD

Abstract

We present a lattice-QCD calculation of the light-quark connected contribution to window observables associated with the leading-order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_{\mu }^{\mathrm{HVP},\mathrm{LO}}$. We employ the MILC Collaboration's isospin-symmetric QCD gauge-field ensembles, which contain four flavors of dynamical highly-improved-staggered quarks with four lattice spacings between $a\approx 0.06$-$0.15$~fm and close-to-physical quark masses. We consider several effective-field-theory-based schemes for finite-volume and other lattice corrections and combine the results via Bayesian model averaging to obtain robust estimates of the associated systematic uncertainties. After unblinding, our final results for the intermediate and ``W2'' windows are $a_{\mu }^{ll,\mathrm{W}}(conn.)=206.6(1.0)\times 10^{-10}$ and $a_{\mu }^{ll,W2}(conn.)=100.7(3.2)\times 10^{-10}$, respectively.

v3: Updated to reflect published version, which includes updates to the text in Sections II.B, III.C,D,E. Numerical results unchanged

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• A Leptonic ALP Portal to the Dark Sector
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
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• Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
• Improved evaluation of the electroweak contribution to muon $g-2$
• Minimal model for the $W$-boson mass, $(g-2{)}_{\mu }$, $h\to {\mu }^{+}{\mu }^{-}$ and quark-mixing-matrix unitarity
• Signals of a New Gauge Boson from IceCube and Muon $g-2$
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Hints of a new leptophilic Higgs sector?
• The LHC as a TeV Muon Beam Dump: Muonphilic Scalars at FASER
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Muon g-2, Long-Range Muon Spin Force, and Neutrino Oscillations
• Leptonic probes of Alternative Left-Right Symmetric Models
• The $L_{\mu }-L_{\tau }$ solution to the IceCube Ultra High Energy neutrino deficit in light of NA64
• Collider imprint of vector-like leptons in light of anomalous magnetic moment and neutrino data
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• The two-pion contribution to the hadronic vacuum polarization with staggered quarks
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$