Abstract
We discuss two theories that are candidates for physics beyond the Standard Model: local baryon number and quark-lepton unification. In the context of local baryon number, we investigate the …
Abstract
We introduce and discuss two simple theories for physics beyond the Standard Model: local baryon number and quark-lepton unification. Then we study the phenomenology and cosmological …
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We point out unique relations between the decay widths for leptoquarks and Higgs bosons that can be used to test the idea of unification of quarks and leptons at the TeV scale. We discuss the …
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The Higgs boson could provide the key to discover new physics at the Large Hadron Collider. We investigate novel decays of the Standard Model (SM) Higgs boson into leptophobic gauge bosons …
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We investigate the predictions of anomaly-free dark matter models for direct and indirect detection experiments. We focus on gauge theories where the existence of a fermionic dark matter …
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We discuss the possible connection between the scale for baryon number violation and the cosmological bound on the dark matter relic density. A simple gauge theory for baryon number which …
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We describe the construction of a light scattering apparatus that is first used to conduct optical reflectivity measurements in thin smectic-A liquid crystal films to measure the thickness of …
Abstract
We describe the construction of a light scattering apparatus that is first used to conduct optical reflectivity measurements in thin smectic-A liquid crystal films to measure the thickness of …
Abstract
Chess has paralleled mathematics in its ability to provide endless challenges. In fact, one piece deserves its own veneration: the knight. We will investigate the properties of paths a knight …
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We introduce a fundamental mathematical basis of quantum mechanics that reinforces the transition from classical mechanics. Specifically, we will address the existence of an algebra that …
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A beautiful subject in mathematics, discrete geometry reveals many fundamental connections between geometry, analysis and algebra through the study of simple geometric objects. Laying at the …
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After solving two related competition problems, we will go beyond their solutions to find the smallest integer k for which there exist distinct integers m1,m2,…,mn such that the polynomial …
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Using a statistical mechanical dimer model on a graph, we analyze perfect matchings of vertices on several Archimedean Lattices. Through our analysis, we discuss the thermodynamic properties …
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With many Putnam problems presenting ideas beyond the scope of a sufficient solution, we investigate a solution to such a problem that reveals the eigenvalues, eigenvectors and determinants …