Tremendous efforts have been made to deal with these effects: smear charge models, damping functions, and explicit anisotropic terms were designed to improve the force field accuracy in shortrange. However, most of these studies still do not incorporate the short-range many-body effects explicitly. While many-body induction and dispersion can be described in a somewhat rigorous way, other short-range many-body interactions (such as many-body exchange or cooperative hydrogen bonding) remain a major bottleneck for molecular force field development. In this work, we try to address these problems using water as an example, which is an especially important, interesting, and challenging case in the field of force field development. Water features a highly dynamical and cooperative hydrogen bonding network with strong many-body and anisotropic characteristics. Due to its importance in chemistry and biology, building a water potential is also often the starting point for the development of a general-purpose molecular force field.