Finite-volume corrections to the leading-order hadronic contribution to $g_\mu-2$

Rehan Malak (1, 2, 3) , Zoltan Fodor (4, 5, 6) , Christian Hoelbling (5) , Laurent Lellouch (2, 3) , Alfonso Sastre (2, 3) , Kalman Szabo (5, 6)

1 MDLS - Maison de la Simulation
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - E1 Physique des particules
4 Departement for Theoretical Physics
5 Theoretische Teilchenphysik
6 JSC - Jülich Supercomputing Centre

We present preliminary results of a 2+1-flavor study of finite-volume effects in the lattice QCD computation of the leading-order hadronic contribution to the muon anomalous magnetic moment. We also present methods for obtaining directly the invariant hadronic polarization function, $\Pi(Q^2)$, and the Adler function at all discrete lattice values of $Q^2$, including $Q^2=0$. Results are obtained with HEX-smeared clover fermions.

Domaines: Physique des Hautes Energies - Réseau [hep-lat]

Rehan Malak, Zoltan Fodor, Christian Hoelbling, Laurent Lellouch, Alfonso Sastre, et al.. Finite-volume corrections to the leading-order hadronic contribution to $g_\mu-2$. The 32nd International Symposium on Lattice Field Theory, Jun 2014, New York, United States. pp.161. ⟨hal-01258987⟩