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The standard model of particle physics, while very successful, leaves many fundamental questions unanswered. These questions frequently have to do with symmetries: could certain aspects of particles and their interactions be better understood in terms of a new symmetry? How are these new symmetries, and indeed many of the symmetries of the standard model, to be broken? The symmetry of the electroweak interaction would imply that there is no difference between the left-handed neutrino and the left-handed electron! These particles differ only because the symmetry is broken -- and yet we do not know how this symmetry breaking occurs. The difference between the masses of the electron and the muon are a sign that flavor symmetries are broken; but again, the origin is unknown. It is remarkable that we can address such problems, and in the coming decade we shall find answers to at least some of the fundamental questions of symmetry breaking.
In recent years I have constructed and studied theories with enhanced spacetime, gauge and flavor symmetries: supersymmetry, and compact extra spatial dimensions with size from sub-mm to inverse TeV to inverse Planck mass. I have worked on grand unified theories in four and higher dimensions, and have considered a variety of frameworks for neutrino masses. Recently I have focused on the TeV scale, since is the range of the Large Hadron Collider. Whether the electroweak symmetry turns out to be broken by supersymmetric interactions, a new strong force, or by extra spatial dimensions, the elucidation of the TeV scale will be as exciting as any previous discoveries in particle physics.
The standard model of particle physics, while very successful, leaves many fundamental questions unanswered. These questions frequently have to do with symmetries: could certain aspects of particles and their interactions be better understood in terms of a new symmetry? How are these new symmetries, and indeed many of the symmetries of the standard model, to be broken? The symmetry of the electroweak interaction would imply that there is no difference between the left-handed neutrino and the left-handed electron! These particles differ only because the symmetry is broken -- and yet we do not know how this symmetry breaking occurs. The difference between the masses of the electron and the muon are a sign that flavor symmetries are broken; but again, the origin is unknown. It is remarkable that we can address such problems, and in the coming decade we shall find answers to at least some of the fundamental questions of symmetry breaking.
In recent years I have constructed and studied theories with enhanced spacetime, gauge and flavor symmetries: supersymmetry, and compact extra spatial dimensions with size from sub-mm to inverse TeV to inverse Planck mass. I have worked on grand unified theories in four and higher dimensions, and have considered a variety of frameworks for neutrino masses. Recently I have focused on the TeV scale, since is the range of the Large Hadron Collider. Whether the electroweak symmetry turns out to be broken by supersymmetric interactions, a new strong force, or by extra spatial dimensions, the elucidation of the TeV scale will be as exciting as any previous discoveries in particle physics.
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Journal of High Energy Physicsno. 3 (2024): 1-23
PHYSICAL REVIEW Dno. 5 (2024)
arXiv (Cornell University) (2023)
PHYSICAL REVIEW LETTERSno. 22 (2023): 221802-221802
arxiv(2021)
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Journal of High Energy Physicsno. 3 (2021): 1-62
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