6533b828fe1ef96bd1287837

RESEARCH PRODUCT

Nucleon axial charge in lattice QCD with controlled errors

S. CapitaniG. Von HippelM. Della MorteB. KnippschildHarvey B. MeyerAndreas JüttnerHartmut WittigBenjamin Jäger

subject

PhysicsQuantum chromodynamicsQuarkNuclear and High Energy PhysicsParticle physicsPionHigh Energy Physics::LatticeLattice field theoryHigh Energy Physics::ExperimentCharge (physics)Lattice QCDCorrelation function (quantum field theory)Nucleon

description

We report on our calculation of the nucleon axial charge ${g}_{\mathrm{A}}$ in QCD with two flavors of dynamical quarks. A detailed investigation of systematic errors is performed, with a particular focus on contributions from excited states to three-point correlation functions. The use of summed operator insertions allows for a much better control over such contamination. After performing a chiral extrapolation to the physical pion mass, we find ${g}_{\mathrm{A}}=1.223\ifmmode\pm\else\textpm\fi{}0.063(\mathrm{stat}{)}_{\ensuremath{-}0.060}^{+0.035}(\mathrm{syst})$, in good agreement with the experimental value.

https://doi.org/10.1103/physrevd.86.074502