Florian Burger

Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment

A bstractWe present a four-flavour lattice calculation of the leading-order hadronic vacuum polarisation contribution to the anomalous magnetic moment of the muon,

Thermal QCD transition with two flavors of twisted mass fermions

a_{\mu}^{\mathrm{hvp}}

Landau gauge gluon and ghost propagators from lattice QCD with

, arising from quark-connected Feynman graphs. It is based on ensembles featuring Nf = 2 + 1 + 1 dynamical twisted mass fermions generated by the European Twisted Mass Collaboration (ETMC). Several light quark masses are used in order to yield a controlled extrapolation to the physical pion mass. We employ three lattice spacings to examine lattice artefacts and several different volumes to check for finite-size effects. Incorporating the complete first two generations of quarks allows for a direct comparison with phenomenological determinations of

N_f

a_{\mu}^{\mathrm{hvp}}

=2 twisted mass fermions at finite temperature

. Our final result including an estimate of the systematic uncertainty

Quark mass and chiral condensate from the Wilson twisted mass lattice quark propagator

a_{\mu}^{\mathrm{hvp}}

Leading-order hadronic contributions to the electron and tau anomalous magnetic moments

= 6.74(21)(18) · 10−8 shows a good overall agreement with these computations.

The Hadronic Vacuum Polarization and Automatic

We investigate the thermal QCD transition with two flavors of maximally twisted mass fermions for a set of pion masses, 300 MeV \textless

\mathcal{O}(a)

m_\pi

Improvement for Twisted Mass Fermions

\textless 500 MeV, and lattice spacings