title: Connected and Leading Disconnected Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment with a Physical Pion Mass.
abstract: We report a lattice QCD calculation of the hadronic light-by-light contribution to the muon anomalous magnetic moment at a physical pion mass. The calculation includes the connected diagrams and the leading, quark-line-disconnected diagrams. We incorporate algorithmic improvements developed in our previous work. The calculation was performed on the 48^{3}×96 ensemble generated with a physical pion mass and a 5.5 fm spatial extent by the RBC and UKQCD Collaborations using the chiral, domain wall fermion formulation. We find a_{μ}^{HLbL}=5.35(1.35)×10^{-10}, where the error is statistical only. The finite-volume and finite lattice-spacing errors could be quite large and are the subject of ongoing research. The omitted disconnected graphs, while expected to give a correction of order 10%, also need to be computed.
authors.affiliation: Physics Department, University of Connecticut, Storrs, Connecticut 06269-3046, USA.|RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA.
authors.forename: Thomas
authors.initials: T
authors.lastname: Blum
authors.affiliation: Physics Department, Columbia University, New York, New York 10027, USA.
authors.forename: Norman
authors.initials: N
authors.lastname: Christ
authors.affiliation: Department of Physics, Nagoya University, Nagoya 464-8602, Japan.|Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan.
authors.forename: Masashi
authors.initials: M
authors.lastname: Hayakawa
authors.affiliation: RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA.|Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA.
authors.forename: Taku
authors.initials: T
authors.lastname: Izubuchi
authors.affiliation: Physics Department, Columbia University, New York, New York 10027, USA.
authors.forename: Luchang
authors.initials: L
authors.lastname: Jin
authors.affiliation: Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA.
authors.forename: Chulwoo
authors.initials: C
authors.lastname: Jung
authors.affiliation: Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA.
authors.forename: Christoph
authors.initials: C
authors.lastname: Lehner