The hadronic vacuum polarization function with O(a)-improved Wilson fermions - an update

Understand

We present an update of our lattice QCD study of the vacuum polarization function using O$(a)$-improved $N_ {\rm f} =2$ Wilson fermions with increased statistics and a large set of momenta.

• The resulting points are highly correlated and thus require a correlated fitting procedure.
• We employ an extended frequentist method to estimate the systematic uncertainties due to the momentum dependence and to the continuum and chiral extrapolations.
• We present preliminary results of the leading order hadronic contribution of the anomalous magnetic moment of the muon $\left(a_\mu^{\mathrm{HLO}}\right)$ at the physical point for $u,d,s$ and $c$ valence quarks.