Guaranteed Detection of a Minimal Supersymmetric Model Higgs Boson at Hadron Supercolliders

We demonstrate that expected efficiencies and purities for $b$-tagging at SSC/LHC detectors should allow detection of at least one of the Higgs bosons of the Minimal Supersymmetric Model in t\anti t~Higgs production, with Higgs\rta b\anti b decay, over a substantial range of supersymmetric parameter space. In particular, with the addition of this mode to those previously considered, there is no region of supersymmetric parameter space for which {\it none} of the Higgs bosons of the model can be seen at the SSC/LHC.Comment: 9 pages, uses phyzzx.tex and tables.tex macros, full postscript file, including embedded figures, available via anonymous ftp at ucdhep.ucdavis.edu as [anonymous.gunion]hbb_susy.ps, preprint UCD-93-2

Determining the CP-eigenvalues of the Neutral Higgs Bosons of the Minimal Supersymmetric Model in \gam\gam Collisions

We determine the optimal laser and \ep/\em energies and polarizations for {\it directly} determining the CP eigenvalue of each of the neutral Higgs bosons of the Minimal Supersymmetric Model via measurement of transverse polarization cross section asymmetry in back-scattered laser photon collisions. Approximate statistical significances are computed for the measurement of the CP eigenvalue as a function of Higgs mass and other parameters of the model.Comment: 14 pages, requires phyzzx.tex and tables.tex, full postscript file including embedded figures available via anonymous ftp at ucdhep.ucdavis.edu as [anonymous.gunion]a3susy.ps, revised to correct Eq. (3), various wordings improvements also made, including a better version of final paragraph of conclusion, preprint UCD-94-2

Using Back-Scattered Laser Beams to Detect CP Violation in the Neutral Higgs Sector

We demonstrate that the ability to polarize the photons produced by back-scattering laser beams at a TeV scale linear \epem collider could make it possible to determine whether or not a neutral Higgs boson produced in photon-photon collisions is a CP eigenstate. The relative utility of different types of polarization is discussed. Asymmetries that are only non-zero if the Higgs boson is a CP mixture are defined, and their magnitudes illustrated for a two-doublet Higgs model with CP-violating neutral sector.Comment: 15 pages, UCD-92-18, 4 figures, postscript figure files available by request, uses phyzzx.te

How Valuable is Polarization at a Muon Collider? A Test Case: Determining the CP Nature of a Higgs Boson

We study the use of polarization asymmetries at a muon collider to determine the CP-even and CP-odd couplings of a Higgs boson to $\mu^+mu^-$. We determine achievable accuracy as a function of beam polarization and luminosity. The appropriate techniques for dealing with the polarization precession are outlined. Strategies especially appropriate for a two-Higgs-doublet model (including the MSSM) are given. Our general conclusion is that polarization will be very useful, especially if the proton source is such that full luminosity in the storage ring can be retained even after imposing cuts on the originally accepted muons necessary for P\gsim 0.4 for each beam.Comment: 33 pages, 10 figures, equations.st

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