Author(s)
|
Cè, Marco (U. Bern, AEC) ; Gérardin, Antoine (Marseille, CPT) ; von Hippel, Georg (U. Mainz, PRISMA) ; Hudspith, Renwick J. (Darmstadt, Tech. Hochsch. ; Darmstadt, GSI) ; Kuberski, Simon (Helmholtz Inst., Mainz ; Darmstadt, GSI) ; Meyer, Harvey (U. Mainz, PRISMA ; Helmholtz Inst., Mainz) ; Miura, Kohtaroh (Helmholtz Inst., Mainz ; KEK, Tsukuba) ; Mohler, Daniel (Darmstadt, Tech. Hochsch. ; Darmstadt, GSI) ; Ottnad, Konstantin (U. Mainz, PRISMA) ; Paul, Srijit (U. Mainz, PRISMA) ; Risch, Andreas (NIC, Zeuthen) ; San José, Teseo (U. Mainz, PRISMA ; Helmholtz Inst., Mainz) ; Wittig, Hartmut (U. Mainz, PRISMA ; Helmholtz Inst., Mainz ; CERN) |
Abstract
| Following the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the theory prediction from the $g-2$ theory initiative has increased to $4.2\,\sigma$. Recent lattice QCD calculations predict values for the hadronic vacuum polarization contribution that are larger than the data-driven estimates, bringing the Standard Model prediction closer to the experimental measurement. Euclidean time windows in the time-momentum representation of the hadronic vacuum polarization contribution to the muon $g-2$ can help clarify the discrepancy between the phenomenological and lattice predictions. We present our calculation of the intermediate distance window contribution using $N_\mathrm{f}=2+1$ flavors of O$(a)$ improved Wilson quarks. We employ ensembles at six lattice spacings below $0.1\,$fm and pion masses down to the physical value. We present a detailed study of the continuum limit, using two discretizations of the vector current and two independent sets of improvement coefficients. Our result at the physical point displays a tension of $3.9\,\sigma$ with a recent evaluation of the intermediate window based on the data-driven method. |