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• W3015842220 abstract "In this work, we present the first-ever calculation of the isovector flavor combination of the twist-3 parton distribution function $g_T(x)$ for the proton from lattice QCD. We use an ensemble of gauge configurations with two degenerate light, a strange and a charm quark ($N_f=2+1+1$) of maximally twisted mass fermions with a clover improvement. The lattice has a spatial extent of 3~fm, lattice spacing of 0.093~fm, and reproduces a pion mass of $260$ MeV. We use the quasi-distribution approach and employ three values of the proton momentum boost, 0.83 GeV, 1.25 GeV, and 1.67 GeV. We use a source-sink separation of 1.12~fm to suppress excited-states contamination. The lattice data are renormalized non-perturbatively. We calculate the matching equation within Large Momentum Effective Theory, which is applied to the lattice data in order to obtain $g_T$. The final distribution is presented in the $overline{rm MS}$ scheme at a scale of 2 GeV. We also calculate the helicity distribution $g_1$ to test the Wandzura-Wilczek approximation for $g_T$. We find that the approximation works well for a broad range of $x$. This work demonstrates the feasibility of accessing twist-3 parton distribution functions from novel methods within lattice QCD and can provide essential insights into the structure of hadrons." @default.
• W3015842220 created "2020-04-17" @default.
• W3015842220 creator A5003302229 @default.
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• W3015842220 date "2020-12-01" @default.
• W3015842220 modified "2023-10-12" @default.
• W3015842220 title "Insights on proton structure from lattice QCD: The twist-3 parton distribution function <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:msub><mml:mi>g</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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• W3015842220 doi "https://doi.org/10.1103/physrevd.102.111501" @default.
• W3015842220 hasPublicationYear "2020" @default.
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