The connected and leading disconnected diagrams of the hadronic light-by-light contribution to muon $g - 2$

TL;DR

This paper presents a lattice QCD calculation of the hadronic light-by-light contribution to muon g-2, including connected and leading disconnected diagrams, using a novel moment method on a large physical pion mass lattice.

Contribution

It introduces a new lattice calculation method for hadronic light-by-light contributions, including both connected and leading disconnected diagrams, with physical pion mass.

Findings

Calculation performed on a large lattice with physical pion mass.

Finite volume and lattice spacing effects are acknowledged and will be estimated.

Results set the stage for more precise future calculations.

Abstract

We report our recent lattice calculation of hadronic light-by-light contribution to muon $g-2$ using our recently developed moment method. The connected diagrams and the leading disconnected diagrams are included. The calculation is performed on a $48^3 \times 96$ lattice with physical pion mass and 5.5 fm box size. We expect sizable finite volume and finite lattice spacing corrections to the results of these calculations which will be estimated in calculations to be carried out over the next 1-2 years.