Speaker
Prof.
Hartmut Wittig
(Johannes Gutenberg Universität)
Description
We report on our ongoing project to determine the leading-order
hadronic vacuum polarisation contribution to the muon $g-2$, using
ensembles with $N_f=2+1$ flavours of O($a$) improved Wilson quarks
generated by the CLS effort, with pion masses down to the physical
value. We employ O($a$) improved versions of the local and conserved
vector currents to compute the contributions of the light, strange and
charm quarks to $(g-2)_\mu$, using the time-momentum
representation. We perform a detailed investigation of the systematic
effects arising from constraining the long-distance regime of the
vector correlator. To this end we make use of auxiliary calculations
in the iso-vector channel using distillation and the Lüscher
formalism. Our results are corrected for finite-volume effects by
computing the timelike pion form factor in finite and infinite
volume. For certain parameter choices, the corrections computed in
this way can also be confronted with results determined on different
volumes. Currently, the overall precision of our results is limited by
the uncertainties in the lattice scale.
Primary author
Prof.
Hartmut Wittig
(Johannes Gutenberg Universität)
Co-authors
Dr
Antoine Gerardin
(Institute for Nuclear Physics, University of Mainz)
Dr
Daniel Mohler
(University of Mainz)
Dr
Georg von Hippel
(University of Mainz)
Prof.
Harvey B. Meyer
(Johannes Gutenberg University Mainz)
Dr
Hörz Ben
(University of Mainz)
Dr
Konstantin Ottnad
(University of Mainz)
Dr
Tim Harris
(Milano Bicocca)