# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Intermediate window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from O$(a)$ improved Wilson quarks

Aug 9, 2022, 5:10 PM
20m
CP1-HSZ/Ground-0.001 - HS3 (CP1-HSZ)

### CP1-HSZ/Ground-0.001 - HS3

#### CP1-HSZ

50
Oral Presentation QCD in searches for physics beyond the Standard Model

### Speaker

Simon Kuberski (Helmholtz-Institut Mainz)

### Description

With the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the data-driven theory prediction 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 $3.8\sigma$ with a recent evaluation of the intermediate window based on the data-driven method.

### Primary authors

Marco Cè (AEC and ITP, Universität Bern) Antoine Gérardin (Aix-Marseille-Universit\'e, Universit\'e de Toulon, CNRS, CPT, Marseille, France) Georg von Hippel (JGU Mainz) Renwick J. Hudspith (Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\"at Mainz, Germany) Simon Kuberski (Helmholtz-Institut Mainz) Harvey B. Meyer (Johannes Gutenberg University Mainz) Kohtaroh Miura (Helmholtz-Institut Mainz, Johannes Gutenberg-Universit\"at Mainz, Germany) Daniel Mohler (TU Darmstadt) Konstantin Ottnad (University of Mainz) Srijit Paul (Johannes Gutenberg University Mainz) Andreas Risch (DESY, NIC) Miguel Teseo San José Pérez (IJCLab) Hartmut Wittig