The production rate of the CP-odd Higgs boson in the Minimal Supersymmetric Standard Model is evaluated through next-to-leading order in the strong coupling constant. The divergent integrals are regulated using Dimensional Reduction, with a straightforward implementation of γ5. The well-known Standard Model result is recovered in this scheme through a cancellation between the quark and squark c...

The couplings and interactions of baryons containing a heavy quark are related by light quark spin-flavor symmetry in the large N limit. The single pion coupling constant which determines all heavy quark baryon-pion couplings is equal to the pion coupling constant for light quark baryons. Light quark symmetry relations amongst the baryon couplings are violated at order 1/N. Heavy quark spin-fla...

The Wilson (exact) renormalization group equations are used to determine the evolution of a general low energy N=1 supersymmetric action containing a U(1) gauge vector multiplet and a neutral chiral multiplet. The effective theory evolves towards satisfying a fixed relation where the Kähler potential and effective gauge coupling are obtained from a N=2 supersymmetric holomorphic prepotential.

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It is shown that the SU(2) Higgs model on a lattice is equivalent to the Georgi–Glashow model in the limit of a small coupling constant between the Higgs and gauge fields. It can therefore be concluded that the transition between the confinement and symmetric phases in the 3 + 1 dimensional SU(2) Higgs model at finite temperature is accompanied by condensation of Nambu monopoles. According to o...

A review of the Higgs and neutralino sector of supersymmetric models is presented. This includes the upper limit on the mass of the lightest Higgs boson in the Minimal Supersymmetric Standard Model, as well as models based on the Standard Model gauge group SU(2)L U(1)Y with extended Higgs sectors. We then discuss the Higgs sector of left-right supersymmetric models, which conserve R-parity as a...

We calculate, with several corrections, the non-relativistic binding by Higgs exchange and gluon exchange between six top and six anti-top quarks (actually replaced by left-handed b quarks from time to time). The remarkable result is that, within our calculational accuracy of the order of 14% in the top quark Yukawa coupling gt, the experimental running top quark Yukawa coupling gt = .935 happe...

For hybrid inflationary potentials, we derive the tunneling rate from field configurations along the flat direction towards the waterfall regime. This process competes with the classically rolling evolution of the scalar fields and needs to be strongly subdominant for phenomenologically viable models. Tunneling may exclude models with a mass scale below 10 GeV, but can be suppressed by small va...

The solitons of the SO(3) gauged Skyrme model with no pion-mass potential were studied in Refs. [1, 2]. Here, the effects of the inclusion of this potential are studied. In contrast with the (ungauged) Skyrme model, where the effect of this potential on the solitons is marginal, here it turns out to be decisive, resulting in very different dependence of the energy as a function of the Skyrme co...

The effective interaction between the static particles in the Falicov-Kimball model is studied, for large values of the coupling constant, using a convergent cluster expansion. This text, presented at conference on “Advanced Topics in Applied Mathematics and Theoretical Physics”, Marseille, June 1994, was written for the proceedings that eventually were not published. However, see Refs. 11–14.