JIUNN-WEI CHENHuey-Wen LinJian-Hui Zhang2022-12-232022-12-232019-04-290550-3213https://scholars.lib.ntu.edu.tw/handle/123456789/626752Version published in Nucl. Phys. BWe 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.VIRTUAL COMPTON-SCATTERING; HADRON STRUCTURE; FORM-FACTOR; EVOLUTION; HELICITY; High Energy Physics - Lattice; High Energy Physics - Lattice; High Energy Physics - Phenomenology; Nuclear Theory[SDGs]SDG10[SDGs]SDG16journal article10.1016/j.nuclphysb.2020.1149402-s2.0-85078675946WOS:000518891200025http://arxiv.org/abs/1904.12376v3