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This white paper provides a comprehensive review of our present understandingof experimental neutrino anomalies that remain unresolved, charting theprogress achieved over the last decade at the experimental and phenomenologicallevel, and sets the stage for future programmatic prospects in addressing thoseanomalies. It is purposed to serve as a guiding and motivational "encyclopedic"reference, with emphasis on needs and options for future exploration that maylead to the ultimate resolution of the anomalies. We see the main experimental,analysis, and theory-driven thrusts that will be essential to achieving thisgoal being: 1) Cover all anomaly sectors -- given the unresolved nature of allfour canonical anomalies, it is imperative to support all pillars of a diverseexperimental portfolio, source, reactor, decay-at-rest, decay-in-flight, andother methods/sources, to provide complementary probes of and increasedprecision for new physics explanations; 2) Pursue diverse signatures -- it isimperative that experiments make design and analysis choices that maximizesensitivity to as broad an array of these potential new physics signatures aspossible; 3) Deepen theoretical engagement -- priority in the theory communityshould be placed on development of standard and beyond standard models relevantto all four short-baseline anomalies and the development of tools for efficienttests of these models with existing and future experimental datasets; 4) Openlyshare data -- Fluid communication between the experimental and theorycommunities will be required, which implies that both experimental datareleases and theoretical calculations should be publicly available; and 5)Apply robust analysis techniques -- Appropriate statistical treatment iscrucial to assess the compatibility of data sets within the context of anygiven model.

White Paper on Light Sterile Neutrino Searches and Related Phenomenology