A new stochastic estimator, blending distillation low modes with reweighted random high modes, gives unbiased all-to-all fermion propagators and enables sub-percent nucleon axial charge and 4-point pion form factor calculations on 40 lattice configurations.
On the effect of excited states in lattice calculations of the nucleon axial charge
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abstract
Excited-state contamination is one of the dominant uncertainties in lattice calculations of the nucleon axial-charge, $g_A$. Recently published results in leading-order chiral perturbation theory (ChPT) predict the excited-state contamination to be independent of the nucleon interpolator and positive. However, empirical results from numerical lattice calculations show negative contamination (downward curvature), indicating that present-day calculations are not in the regime where the leading-order ChPT predictions apply. In this paper we show that, under plausible assumptions, one can reproduce the behavior of lattice correlators by taking into account final-state $N \pi$ interactions, in particular the effect of the Roper resonance, and by postulating a sign change in the infinite-volume $N \to N \pi$ axial-vector transition amplitude.
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Realization of all-to-all fermion propagator for the first principle high accuracy strong interaction prediction
A new stochastic estimator, blending distillation low modes with reweighted random high modes, gives unbiased all-to-all fermion propagators and enables sub-percent nucleon axial charge and 4-point pion form factor calculations on 40 lattice configurations.