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arXiv · 1904.12376

Pion generalized parton distribution from lattice QCD

Jiunn-Wei Chen·Huey-Wen Lin·Jian-Hui Zhang
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Abstract

We present the first lattice calculation of the valence-quark generalized parton distribution (GPD) of the pion using the large-momentum effective theory (LaMET) approach. We focus on the zero-skewness limit, where the GPD has a probability-density interpretation in the longitudinal Bjorken $x$ and the transverse impact-parameter distributions. Our calculation is done using clover valence fermions on an ensemble of gauge configurations with $2+1+1$ flavors (degenerate up/down, strange and charm) of highly improved staggered quarks (HISQ) with lattice spacing $a \approx 0.12$ fm, box size $L \approx 3$ fm and pion mass $m_\pi \approx 310$ MeV. The parton distribution function and the form factor are reproduced as special limits of the GPD as expected. Due to the large errors, this exploratory study does not show a clear preference among different model assumptions about the kinematic dependence of the GPD. To discriminate between these assumptions, future studies using higher-statistics data will be crucial.

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Jiunn-Wei Chen, Huey-Wen Lin, Jian-Hui Zhang. 2019-04-28. Pion generalized parton distribution from lattice QCD. https://doi.org/10.1016/j.nuclphysb.2020.114940

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