Study of the anomalous magnetic moment of the muon computed from the Adler function

Abstract

We compute the Adler function on the lattice from vacuum polarization data with twisted boundary conditions using numerical derivatives. The study is based on CLS ensembles with two flavours of $O(a)$ improved Wilson fermions. We extrapolate the lattice data for the Adler function to the continuum limit and to the physical pion mass and analyze its dependence on the momentum transfer. We discuss the application of this method to the extraction of the $u,d$ contribution to $a_{\mu }^{\mathrm{HLO}}$.

arXiv comment7 pages, 3 figures, presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), June 23-28 2014, New York, USA

References in corpus (4)

• Lattice Determination of the Hadronic Contribution to the Muon $g-2$ using Dynamical Domain Wall Fermions
• A new representation of the Adler function for lattice QCD
• Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice
• Computing the Adler function from the vacuum polarization function

Cited by in corpus (5)

• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Study of the Couplings of QED and QCD from the Adler Function
• The hadronic vacuum polarization function with O(a)-improved Wilson fermions - an update
• Study of the hadronic contributions to the running of the QED coupling and the weak mixing angle