Speaker
Hanno Horch
(University of Mainz)
Description
We present results of our lattice QCD study of the hadronic vacuum polarization (HVP)
function with O$(a)$-improved $N_{\rm f}=2$ Wilson fermions with twisted boundary
conditions. We discuss the extraction of the leading order hadronic contribution to the
anomalous magnetic moment of the muon $\left(a_\mu^{\mathrm{HLO}}\right)$ via the
hybrid method involving two steps: (i) To describe the low $Q^2$ range, we construct
Pade approximants obtained either from correlated fits to the HVP or from time moments,
which we obtain from derivatives of the current-current correlator.(ii) For the large
$Q^2$ range we use a numerical integration. We estimate systematic uncertainties
of the continuum and chiral extrapolations with the extended frequentist method.
Preliminary results for $u,d,s$ and $c$ valence quarks at the physical point for
$a_\mu^{\mathrm{HLO}}$ will be presented.
Author
Hanno Horch
(University of Mainz)
Co-authors
Dr
Andreas Nyffeler
(University of Mainz)
Dr
Benjamin Jaeger
(Swansea University)
Dr
Gregorio Herdoiza
(Universidad Autónoma de Madrid)
Prof.
Hartmut Wittig
(University of Mainz)
