Light-quark connected intermediate-window contributions to the muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> hadronic vacuum polarization from lattice QCD
Alexei Bazavov, C. T. H. Davies, Carleton DeTar, A. X. El-Khadra, E. Gámiz, Steven Gottlieb, William I. Jay, Hwancheol Jeong, Andreas S. Kronfeld, Shaun Lahert, G. Peter Lepage, Michael Lynch, Andrew Lytle, Paul B. Mackenzie, Craig McNeile, Ethan T. Neil, Curtis T. Peterson, Gaurav Ray, James N. Simone, R. S. Van de Water, Alejandro Vaquero
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, ${a}_{\ensuremath{\mu}}^{\mathrm{HVP},\mathrm{LO}}$. 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 $a\ensuremath{\approx}0.06--0.15\text{ }\text{ }\mathrm{fm}$ 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 ${a}_{\ensuremath{\mu}}^{ll,\mathrm{W}}(\text{conn})=206.6(1.0)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}$ and ${a}_{\ensuremath{\mu}}^{ll,\mathrm{W}2}(\text{conn})=100.7(3.2)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}$, respectively.