  In this paper, we study random walks on groups that contain superlinear
divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The
existence of a superlinear divergent geodesic is a quasi-isometry invariant
which allows us to execute Gou\"ezel's pivoting technique. We develop the
theory of superlinear divergence and establish a central limit theorem for
random walks on these groups.
