An array of powerful neutrino-beam experiments will study the fundamentalproperties of neutrinos with unprecedented precision in the coming years. Alongwith their primary neutrino-physics motivations, there has been growingrecognition that these experiments can carry out a rich program of searches fornew, light, weakly-coupled particles that are part of a dark sector. In thiswhite paper, we review the diverse theoretical motivations for dark sectors andthe capabilities of neutrino beam experiments to probe a wide range of modelsand signatures. We also examine the potential obstacles that could limit theseprospects and identify concrete steps needed to realize an impactful darksector search program in this and coming decades.<br
