Higher-twist generalized parton distributions of the pion and kaon at zero skewness in the light-cone quark model

We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a light-cone quark model (LCQM), we calculate the twist-3 and twist-4 GPDs E₂(x,0,t), G₂(x,0,t), F₃(x,0,t) and H₃(x,0,t) of valence quark inside the pion and kaon mesons. Numerical results for these higher-twist GPDs are presented. By taking the forward limit, we also present the numerical results for the corresponding twist-3 and twist-4 parton distribution functions (PDFs) $e(x)$ and f₃(x) of pion and kaon. We further study the relations between $e(x)$ or f₃(x) and the twist-2 unpolarized PDF f₁(x).