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• W2280006024 abstract "We present a detailed analysis of methods to reduce statistical errors and excited-state contamination in the calculation of matrix elements of quark bilinear operators in nucleon states. All the calculations were done on a $2+1$-flavor ensemble with lattices of size ${32}^{3}ifmmodetimeselsetexttimesfi{}64$ generated using the rational hybrid Monte Carlo algorithm at $a=0.081text{ }text{ }mathrm{fm}$ and with ${M}_{ensuremath{pi}}=312text{ }text{ }mathrm{MeV}$. The statistical precision of the data is improved using the all-mode-averaging method. We compare two methods for reducing excited-state contamination: a variational analysis and a 2-state fit to data at multiple values of the source-sink separation ${t}_{mathrm{sep}}$. We show that both methods can be tuned to significantly reduce excited-state contamination and discuss their relative advantages and cost effectiveness. A detailed analysis of the size of source smearing used in the calculation of quark propagators and the range of values of ${t}_{mathrm{sep}}$ needed to demonstrate convergence of the isovector charges of the nucleon to the ${t}_{mathrm{sep}}ensuremath{rightarrow}ensuremath{infty}$ estimates is presented." @default.
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• W2280006024 date "2016-06-08" @default.
• W2280006024 modified "2023-10-15" @default.
• W2280006024 title "Controlling excited-state contamination in nucleon matrix elements" @default.
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• W2280006024 doi "https://doi.org/10.1103/physrevd.93.114506" @default.
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