The NMSSM Close to the R-symmetry Limit and Naturalness in h→aah \to aa Decays for m_a<2\mb

Dominant decay of a SM-like Higgs boson into particles beyond those contained in the minimal supersymmetric standard model has been identified as a natural scenario to avoid fine tuning in electroweak symmetry breaking while satisfying all LEP limits. In the simplest such extension, the next-to-minimal supersymmetric model, the lightest CP-even Higgs boson can decay into two pseudoscalars. In the scenario with least fine tuning the lightest CP-even Higgs boson has mass of order 100 GeV. In order to escape LEP limits it must decay to a pair of the lightest CP-odd Higgs bosons with Br(h -> aa)>.7 and m_a \tau^+ \tau^- or light quarks and gluons). The mass of the lightest CP-odd Higgs boson is controlled by the soft-trilinear couplings, A_\lambda(m_Z) and A_\kappa(m_Z). We identify the region of parameter space where this situation occurs and discuss how natural this scenario is. It turns out that in order to achieve m_a < 2 m_b with A_\lambda(m_Z), A_\kappa(m_Z) of order the typical radiative corrections, the required tuning of trilinear couplings need not be larger than 5-10 %. Further, the necessity for this tuning can be eliminated in specific SUSY breaking scenarios. Quite interestingly, Br(h -> aa) is typically above 70 % in this region of parameter space and thus an appropriately large value requires no additional tuning.Comment: 33 pages, 25 figure

Physics at a Muon Collider

I discuss the exciting prospects for exploring a wide range of new physics at a low-energy muon collider.Comment: 21 pages, full postscript file is also available via anonymous ftp at ftp://ucdhep.ucdavis.edu/gunion/fnalmumuplenary.p

Detecting and Studying Higgs Bosons

I review the ability of the LHC (large hadron collider), NLC (next linear lepton collider) and FMC (first muon collider) to detect and study Higgs bosons, with emphasis on the Higgs bosons of extended Higgs sectors, especially those of the minimal supersymmetric standard model (MSSM). Particular attention is given to means for distinguishing the lightest neutral CP-even Higgs boson of the MSSM from the single Higgs boson of the minimal Standard Model (SM).Comment: 65 pages, to appear in ``Perspectives on Higgs Physics'', ed. G. Kane, 2nd edition (World Scientific Publishing). Full postscript file is available via anonymous ftp at ftp://ucdhep.ucdavis.edu/gunion/perspectives97.p

A Simplified Summary of Supersymmetry

I give an overview of the motivations for and theory/phenomenology of supersymmetry.Comment: 24 pages, to appear in ``Future High Energy Colliders'', proceedings of the ITP Symposium, U.C. Santa Barbara, October 21-25, 1996, AIP Press. Also presented at the Aspen Winter Conference on High Energy Physics, January 1997, Aspen, CO. Full postscript file, is available via anonymous ftp at ftp://ucdhep.ucdavis.edu/gunion/itp96.p