6533b7d6fe1ef96bd12665bd

RESEARCH PRODUCT

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

Michele Della MorteAnthony FrancisHartmut WittigAndreas JüttnerGregorio HerdoizaBenjamin JaegerHanno HorchHarvey B. Meyer

subject

PhysicsMuonAnomalous magnetic dipole moment010308 nuclear & particles physicsHigh Energy Physics::LatticeMomentum transferHigh Energy Physics - Lattice (hep-lat)FOS: Physical scienceshep-latFermion01 natural sciencesPionHigh Energy Physics - LatticeQuantum electrodynamicsLattice (order)0103 physical sciencesBoundary value problemVacuum polarization010306 general physics

description

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 $a_\mu^{\mathrm{HLO}}$.