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The two-pion contribution to the hadronic vacuum polarization with staggered quarks

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arxiv 2409.00756 v2 pith:JLMJK5PT submitted 2024-09-01 hep-lat

Shaun Lahert , Carleton DeTar , Aida X. El-Khadra , Steven Gottlieb , Andreas S. Kronfeld , Ruth S. Van de Water This is my paper · ORCID
classification hep-lat
keywords latticetwo-pionconnectedcontributionlight-quarkstaggeredcalculationcontributions
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abstract

We present results from the first lattice QCD calculation of the two-pion contributions to the light-quark connected vector-current correlation function obtained from staggered-quark operators. We employ the MILC collaboration's gauge-field ensemble with $2+1+1$ flavors of highly improved staggered sea quarks at a lattice spacing of $a\approx 0.15$ fm with a light sea-quark mass at its physical value. The two-pion contributions allow for a refined determination of the noisy long-distance tail of the vector-current correlation function, which we use to compute the light-quark connected contribution to HVP with improved statistical precision. We compare our results with traditional noise-reduction techniques used in lattice QCD calculations of the light-quark connected HVP, namely the so-called fit and bounding methods. We observe a factor of roughly three improvement in the statistical precision in the determination of the HVP contribution to the muon's anomalous magnetic moment over these approaches. We also lay the group theoretical groundwork for extending this calculation to finer lattice spacings with increased numbers of staggered two-pion taste states.

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Cited by 5 Pith papers

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

  1. Comparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to $a_\mu^{\mathrm{HVP}}$

    hep-lat 2025-06 accept novelty 6.0 of 10

    At fixed lattice spacing and volume with unphysical quark masses, direct QCD+QED simulation and the RM123 perturbative expansion give consistent U-spin window contributions to a_mu^HVP, with the direct simulation abou...

  2. Reconstruction of the vector meson propagator using a generalized eigenvalue problem

    hep-lat 2025-01 conditional novelty 6.0 of 10

    A low-mode averaging method for connected two-pion propagators removes the time-extent factor from the inversion count and reconstructs the rho propagator from a generalized eigenvalue problem.

  3. Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Long-distance and full light-quark connected contribution

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The light-quark connected hadronic vacuum polarization contribution to muon g-2 is determined to 0.69% precision, 655.2(4.5) x 10^-10, from lattice QCD.

  4. Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows

    hep-lat 2024-11 conditional novelty 6.0 of 10

    The complete short- and intermediate-distance hadronic vacuum polarization contributions to the muon g-2 are computed on the lattice with 0.31% and 0.36% total errors.

  5. Toward inclusive observables with staggered quarks: the smeared $R$~ratio

    hep-lat 2024-11 conditional novelty 4.0 of 10

    A pilot lattice QCD calculation shows that staggered quarks, with even/odd time-slice separation, produce a smeared R ratio that roughly matches the Bernecker-Meyer model below 1 GeV.

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