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Intro
Supervisor's Foreword
Parts of This Thesis Have Been Published in the Following Journal Articles
Acknowledgments
Contents
About the Author
1 Prologue
1.1 Surprising Neutrinos
1.2 A Tale in Three Parts
References
Part I Active and Sterile Neutrinos
2 Neutrinos Within the Standard Model
2.1 A Brief History of the Physics of Neutrinos
2.2 The Theory of Neutrinos
2.2.1 Zooming in the Standard Model
2.2.2 The Mystery of Neutrino Masses
2.2.3 Neutrino Mixing
2.3 The Phenomenology of Neutrinos
2.3.1 Neutrino Oscillations

2.3.2 Measurements of Neutrino Oscillations
References
3 Short Baseline Anomalies
3.1 An Introduction to Short Baseline Neutrino Anomalies
3.2 LSND and MiniBooNE
3.2.1 LSND
3.2.2 MiniBooNE
3.3 The Radiochemical Experiments
3.4 Reactor Antineutrino Anomalies
3.5 Null Results
3.5.1 Accelerator Neutrinos
3.5.2 Atmospheric Neutrinos
3.5.3 Solar Neutrinos
3.5.4 Neutrino Masses
3.5.5 Coherent Neutrino-Nucleus Scattering
3.5.6 Cosmology
References
4 Neutrinos Beyond the Standard Model
4.1 Mixing Between Active and Sterile Neutrinos

4.1.1 Seesaw and More
4.1.2 Heavy or Light?
4.2 Phenomenology of Heavy Sterile Neutrinos
4.2.1 Weaker-than-Weak
4.2.2 Production and Decay Through Mixing
4.2.3 Lifetimes and Branching Ratios
4.3 Phenomenology of Light Sterile Neutrinos
4.3.1 Fast Oscillations
References
Part II Heavy Sterile Neutrino Explanations
5 Minimal and Non-minimal Models
5.1 Introduction
5.2 From Minimal to Non-minimal
5.2.1 Minimal Model
5.2.2 Heavy Neutrinos and Big Bang Nucleosynthesis
5.2.3 Non-minimal Models
5.2.4 Comparing the Different Models

5.3 Laboratory-Based Searches for Decays in Flight
5.3.1 General Methodology
5.3.2 Angular Distributions
5.3.3 T2K ND280
5.3.4 PS191
5.3.5 Heavy Neutrino Production from Pion and Muon Decays
5.3.6 MicroBooNE
5.3.7 Comparison Between the Different Experiments
5.4 Constraining the Interesting Parameter Space
5.4.1 Exploring the Parameter Space of the Minimal Model
5.4.2 Costraining the Parameter Space of the TMM and Four-Fermion Interaction Models
5.4.3 Constraining the Parameter Space of the Light Leptophilic ALP Model
5.4.4 Outlook
5.5 Cross-checks

5.5.1 Reproducing the T2K Official Limits
5.5.2 Comparison in the Light Scalar Case
5.5.3 Existing Limits from PS191
References
6 Dark Neutrinos
6.1 Introduction
6.2 When Heavy Sterile Neutrinos Meet a Dark Sector
6.2.1 Upscattering and Decay
6.2.2 Analytical Approximation for Upscattering Cross Section
6.2.3 Explaining the MiniBooNE Anomaly
6.2.4 UV Completions
6.3 ND280 Analyses
6.3.1 The ND280 Detector
6.3.2 Detector Description
6.3.3 Analysis-I-Heavy Neutrino Searches in the GAr TPC
6.3.4 Analysis-II-Photons in the FGD

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