Hadronic Vacuum Polarization for the Muon g-2 from Lattice QCD: Long-Distance and Full Light-Quark Connected...

Area of Science:

• * High Energy Physics
• * Quantum Chromodynamics
• * Muon Physics

Background:

• * The muon anomalous magnetic moment (g-2) is a sensitive probe of New Physics.
• * Hadronic Vacuum Polarization (HVP) is a dominant theoretical uncertainty in Standard Model prediction of muon g-2.
• * Lattice Quantum Chromodynamics (LQCD) is a primary tool for calculating the HVP contribution.

Purpose of the Study:

• * To present a new determination of the light-quark connected contribution to the long-distance window of HVP.
• * To achieve a subpercent precision calculation of the total light-quark connected HVP contribution.
• * To provide a crucial input for the Standard Model evaluation of the muon g-2.

Main Methods:

• * Utilized MILC's physical-mass HISQ ensembles for lattice QCD calculations.
• * Determined the lattice scale using the Ω^{-} baryon mass.
• * Calculated contributions across short-, intermediate-, and long-distance windows of HVP.

Main Results:

• * Obtained a_{μ}^{ll,LD}(conn) = 400.2(4.3) × 10^{-10} for the long-distance window.
• * Achieved a_{μ}^{ll}(conn) = 655.2(4.5) × 10^{-10} for the total light-quark connected HVP contribution with subpercent precision.
• * Verified consistency between independent analyses of the full HVP contribution.

Conclusions:

• * The light-quark connected HVP contribution has been calculated with improved precision.
• * The results are consistent with independent analyses, strengthening confidence in the calculation.
• * Future work will focus on further improving HVP calculations to match the precision of experimental results like Fermilab's g-2 experiment.