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• W2767713360 abstract "We demonstrate a new method of extracting parton distributions from lattice calculations. The starting idea is to treat the generic equal-time matrix element $mathcal{M}(P{z}_{3},{z}_{3}^{2})$ as a function of the Ioffe time $ensuremath{nu}=P{z}_{3}$ and the distance ${z}_{3}$. The next step is to divide $mathcal{M}(P{z}_{3},{z}_{3}^{2})$ by the rest-frame density $mathcal{M}(0,{z}_{3}^{2})$. Our lattice calculation shows a linear exponential ${z}_{3}$-dependence in the rest-frame function, expected from the $Z({z}_{3}^{2})$ factor generated by the gauge link. Still, we observe that the ratio $mathcal{M}(P{z}_{3},{z}_{3}^{2})/mathcal{M}(0,{z}_{3}^{2})$ has a Gaussian-type behavior with respect to ${z}_{3}$ for 6 values of $P$ used in the calculation. This means that $Z({z}_{3}^{2})$ factor was canceled in the ratio. When plotted as a function of $ensuremath{nu}$ and ${z}_{3}$, the data are very close to ${z}_{3}$-independent functions. This phenomenon corresponds to factorization of the $x$- and ${k}_{ensuremath{perp}}$-dependence for the TMD $mathcal{F}(x,{k}_{ensuremath{perp}}^{2})$. For small ${z}_{3}ensuremath{le}4a$, the residual ${z}_{3}$-dependence is explained by perturbative evolution, with ${ensuremath{alpha}}_{s}/ensuremath{pi}=0.1$." @default.
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• W2767713360 date "2017-11-08" @default.
• W2767713360 modified "2023-10-16" @default.
• W2767713360 title "Lattice QCD exploration of parton pseudo-distribution functions" @default.
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• W2767713360 doi "https://doi.org/10.1103/physrevd.96.094503" @default.
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