Pion-pole contribution to HLbL from twisted mass lattice QCD at the physical point

Abstract

We report on our computation of the pion transition form factor ${\mathcal{F}}_{P\to {\gamma }^{\ast }{\gamma }^{\ast }}$ from twisted mass lattice QCD in order to determine the numerically dominant light pseudoscalar pole contribution in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon $a_{\mu }=(g-2{)}_{\mu }$. The pion transition form factor is computed directly at the physical point. We present first results for our estimate of the pion-pole contribution with kinematic setup for the pion at rest.

Comments: 9 pages, 7 figures; Proceedings of the 38th International Symposium on Lattice Field Theory - Lattice 2021, Zoom/Gather@Massachusetts Institute of Technology