Hadronic light-by-light contribution to the muon anomaly from lattice QCD with infinite volume QED at physical pion mass

Abstract

The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, $(g-2$)/2, is computed in the infinite volume QED framework with lattice QCD. We report $a_{\mu }^{\text{HLbL}}=12.47(1.15)(0.95)\times 10^{-10}$ where the first error is statistical and the second systematic. The result is mainly based on the 2+1 flavor Möbius domain wall fermion ensemble with inverse lattice spacing $a^{-1}=1.73\mathrm{GeV}$, lattice size $L=5.5\mathrm{fm}$, and $m_{\pi }=139\mathrm{MeV}$, generated by the RBC-UKQCD collaborations. The leading systematic error of this result comes from the lattice discretization. This result is consistent with previous determinations.

Comments: 29 pages