The leading hadronic vacuum polarization contribution to $(g-2)_{\mu}$ using $N_f=2+1$ O($a$) improved Wilson quarks

18 Jun 2019, 14:40
20m
Wuchang

Wuchang

Parallel Hadron structure Hadron structure

Speaker

Dr Antoine Gérardin (John von Neumann Institute for Computing, DESY)

Description

We present a lattice calculation of the leading hadronic vacuum polarization
contribution to the muon anomalous magnetic moment. We use $N_f=2+1$ Wilson
quarks and apply the O($a$)-improvement programme to reduce discretization
effects. Four lattice spacings with several values of the pion mass down to
its physical value are used to extrapolate to the physical point.
For the connected light quark contribution, affected by the signal-to-noise
ratio problem at long distances, we present an auxiliary calculations of the
timelike pion form factor in order to better constrain the tail of the
isovector correlator and to correct its dominant finite-size effect.
In addition to the connected light, strange and charm quark contributions,
our final estimate also includes a calculation of the quark disconnected
contribution. Finally, we discuss prospects and ongoing efforts for
determining $a^{\rm hvp}_{\mu}$ with sub-percent precision.

Authors

Dr Antoine Gérardin (John von Neumann Institute for Computing, DESY) Marco Cè (Johannes Gutenberg-Universität Mainz) Georg Matthias Von Hippel Dr Ben Hörz (LBNL) Prof. Harvey B. Meyer (Cluster of Excellence PRISMA and PRISMA+ & Institut für Kernphysik & Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz) Daniel Mohler (Helmholtz-Institut Mainz) Dr Konstantin Ottnad (Institut für Kernphysik, Johannes Gutenberg-Universität Mainz) Jonas Wilhelm (Universität Mainz) Hartmut Wittig

Presentation materials