The three-loop single-mass heavy-flavor corrections to the structure functions $F_2(x,Q^2)$ and $g_1(x,Q^2)$

Abstract: We report quantitative results on the single-mass heavy-flavor contributions up to three-loop order to the unpolarized structure function $F_2(x,Q<sup>2)$ and the polarized structure function $g_1(x,Q<sup>2)$ for the first time. These results are relevant for precision QCD analyses of the World deep-inelastic data and the data taken at future colliders, such as the Electron--Ion Collider, in order to measure the strong coupling constant $\alpha_s(M_Z<sup>2)$, and the twist-2 parton distribution functions consistently at next-to-next-to-leading order.