  With the advent of a new generation of neutrino experiments which leverage
high-intensity neutrino beams for precision measurements, it is timely to
explore physics topics beyond the standard neutrino-related physics. Given that
the realm of beyond the standard model (BSM) physics has been mostly sought at
high-energy regimes at colliders, such as the LHC at CERN, the exploration of
BSM physics in neutrino experiments will enable complementary measurements at
the energy regimes that balance that of the LHC. This is in concert with new
ideas for high-intensity beams for fixed target and beam-dump experiments
world-wide, e.g., those at CERN. The combination of the high intensity proton
beam facilities and massive detectors for precision neutrino oscillation
parameter measurements and for CP violation phase measurements will help make
BSM physics reachable even in low energy regimes in accelerator based
experiments. Large mass detectors with highly precise tracking and energy
measurements, excellent timing resolution, and low energy thresholds will
enable searches for BSM phenomena from cosmogenic origin, as well. Therefore,
it is conceivable that BSM topics in the next generation neutrino experiments
could be the dominant physics topics in the foreseeable future, as the
precision of the neutrino oscillation parameter and CPV measurements continues
to improve. In this spirit, this white paper provides a review of the current
landscape of BSM theory in neutrino experiments in two selected areas of the
BSM topics - dark matter and neutrino related BSM - and summarizes the current
results from existing neutrino experiments to set benchmarks for both theory
and experiment. This paper then provides a review of upcoming neutrino
experiments throughout the next 10 - 15 year time scale and their capabilities
to set the foundation for potential reach in BSM physics in the two
aforementioned themes.
