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arXiv · 2008.12474

Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD

Huey-Wen Lin
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Abstract

We present the first lattice calculation of the nucleon isovector unpolarized generalized parton distribution (GPD) at the physical pion mass using a lattice ensemble with 2+1+1 flavors of highly improved staggered quarks (HISQ) generated by MILC Collaboration, with lattice spacing $a\approx 0.09$~fm and volume $64^3\times 96$. We use momentum-smeared sources to improve the signal at nucleon boost momentum $P_z \approx 2.2$ GeV, and report results at nonzero momentum transfers in $[0.2,1.0]\text{ GeV}^2$. Nonperturbative renormalization in RI/MOM scheme is used to obtain the quasi-distribution before matching to the lightcone GPDs. The three-dimensional distributions $H(x,Q^2)$ and $E(x,Q^2)$ at $ξ=0$ are presented, along with the three-dimensional nucleon tomography and impact-parameter--dependent distribution for selected Bjorken $x$ at $μ=3$ GeV in $\overline{\text{MS}}$ scheme.

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Huey-Wen Lin. 2021-07-23. Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD. https://doi.org/10.1103/physrevlett.127.182001

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