Using the Higgs to Probe Naturalness

The extreme sensitivity of the mass of the Higgs boson to quantum corrections from high mass states, makes it 'unnaturally' light in the standard model. This 'hierarchy problem' can be solved by symmetries, which predict new particles related, by the symmetry, to standard model fields. The Large Hadron Collider (LHC) can potentially discover these new particles, thereby finding the solution to the hierarchy problem. However, the dynamics of the Higgs boson is also sensitive to this new physics. We show that in many scenarios the Higgs can be a complementary and powerful probe of the hierarchy problem at the LHC and future colliders. If the top quark partners carry the color charge of the strong nuclear force, the production of Higgs pairs is affected. This effect is tightly correlated with single Higgs production, implying that only modest enhancements in di-Higgs production occur when the top partners are heavy. However, if the top partners are light, we show that di-Higgs production is a useful complementary probe to single Higgs production. We verify this result in the context of a simplified supersymmetric model. If the top partners do not carry color charge, their direct production is greatly reduced. Nevertheless, we show that such scenarios can be revealed through Higgs dynamics. We find that many color neutral frameworks leave observable traces in Higgs couplings, which, in some cases, may be the only way to probe these theories at the LHC. Some realizations of the color neutral framework also lead to exotic decays of the Higgs with displaced vertices. We show that these decays are so striking that the projected sensitivity for these searches, at hadron colliders, is comparable to that of searches for colored top partners. Taken together, these three case studies show the efficacy of the Higgs as a probe of naturalness.

Selected Solo Music for Saxophone by United States Composers: 1975-2005

This dissertation project identifies important works for solo saxophone by United States composers between 1975 and 2005. The quality, variety, expressiveness, and difficulty of the solo saxophone repertoire during these thirty years is remarkable and remedies, to some extent, the fact that the saxophone had been a largely neglected instrument in the realm of classical music. In twentieth-century music, including Jazz, the saxophone developed, nevertheless, a unique and significant voice as is evident in the saxophone repertoire that expands immensely in many instrumental settings, including the orchestra, solo works, and a wide variety of chamber ensembles. Historically, the saxophone in the United States first found its niche in Vaudeville, military bands, and jazz ensembles, while in Europe composers such as Debussy, D'Indy, Schmitt, Ibert, Glazounov, Heiden, and Desenclos recognized the potential of the instrument and wrote for it. The saxophone is well suited to the intimacy and unique timbral explorations of the solo literature, but only by the middle twentieth century did the repertoire allow the instrument to flourish into a virtuosic and expressive voice presented by successive generations of performers – Marcel Mule, Sigurd Rascher, Cecil Leeson, Jean-Marie Londeix, Fred Hemke, Eugene Rousseau, and Donald Sinta. The very high artistic level of theses soloists was inspiring and dozens of new compositions were commissioned. Through the 1960’s American composers such as Paul Creston, Leslie Bassett, Henry Cowell, Alec Wilder, and others produced eminent works for the saxophone, to be followed by an enormous output of quality compositions between 1975 and 2005. The works chosen for performance were selected from thousands of compositions between 1975 and 2005 researched for this project. The three recital dates were: April 6, 2005, in Gildenhorn Recital Hall, December 4, 2005, in Ulrich Recital Hall, and April 15, 2006, in Gildenhorn Recital Hall. Recordings of these recitals may be obtained in person or online from the Michelle Smith Performing Arts Library of the University of Maryland, College Park.