Long-Distance Window of the Hadronic Vacuum Polarization for 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>
Thomas Blum, P. A. Boyle, Mattia Bruno, Bipasha Chakraborty, Felix Erben, Vera Gülpers, A. Hackl, Nils Hermansson–Truedsson, Ryan C. Hill, T. Izubuchi, Luchang Jin, Chulwoo Jung, Christoph Lehner, J. McKeon, Aaron S. Meyer, Masaaki Tomii, T. Tsang, Xin-Yu Tuo
Abstract
We provide the first ab initio calculation of the Euclidean long-distance window of the isospin-symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon g-2 and find a_{μ}^{LD,iso,conn,ud}=411.4(4.3)(2.4)×10^{-10}. We also provide the currently most precise calculation of the total isospin-symmetric light-quark connected contribution, a_{μ}^{iso,conn,ud}=666.2(4.3)(2.5)×10^{-10} in the BMW20 world, which is more than 4σ larger compared to the data-driven estimates of Boito et al. [Phys. Rev. D 107, 074001 (2023)PRVDAQ2470-001010.1103/PhysRevD.107.074001] and 1.7σ larger compared to the lattice QCD result of BMW20.