Summary: | In this work, we examine how neutrino and collider experiments can
each and together put constraints on new physics more stringently than
ever. Constraints arise in three ways. First, possible new
theoretical frameworks are reviewed and analyzed for the compatibility
with collider experiments. We study alternate theories such as the
superconnection formalism and non-commutative geometry (NCG) and show
how these can be put to test, if any collider excess were to show
up. In this case, we use the previous diboson and diphoton statistical
excess as examples to do the analysis. Second, we parametrize low
energy new physics in the neutrino sector in terms of non-standard
interactions (NSI), which are constrained by past and proposed future
neutrino experiments. As an example, we show the capability of
resolving such NSI with the OscSNS, a detector proposed for Oak Ridge
National Lab and derive interesting new constraints on NSI at very low
energy ($\lesssim$ 50 MeV). Apart from this, in order to better
understand the NSI matter effect in long baseline experiments such as
the future DUNE experiment, we derive a new compact formula to
describe the effect analytically, which provides a clear physical
picture of our understanding of the NSI matter effect compared to
numerical computations. Last, we discuss the possibility of combining
neutrino and collider data to get a better understanding of where the
new physics is hidden. In particular, we study a model that produces
sizable NSI to show how they can be constrained by past collider data,
which covers a distinct region of the model parameter space from the
DUNE experiment. In combining the two, we show that neutrino
experiments are complementary to collider searches in ruling out
models such as the ones that utilize a light mediator particle. More
general procedures in constructing such models relevant to neutrino
experiments are also described. === Ph. D.
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