Triviality and stability limits on the Higgs boson mass in effective theories

The impact of new interactions on the triviality and stability Higgs-boson mass bounds has been studied. The interactions have been parame- trized in a model-independent way by a set of effective operators of dimension 6. Constraints from electroweak observables at 1-loop level have been included. In the analyzed region of scale of new physics \La \simeq 2 \div 50 \tev the classic triviality bound remains unchanged. An extension of the triviality condition that has been introduced leads to strong constraints on the possible models. The stability bound on the Higgs boson mass is substantially modified depending on the scale \La and strength of coefficients of relevant effective operators.Comment: 10 pages, 5 figure

Analysis of Multifrequency Dispersive Optical Bistability and Switching in Nonlinear Ring Cavities with Large Medium-Response Times

Using a simple model of a ring cavity comprising a cubically nonlinear medium, we analyze dispersive optical bistability in the presence of more than one spectral component. We show the phenomenon of so-called competition for resonance. In addition to presenting cavity characteristics for the cases of two and three different frequencies, we also discuss the general method for finding steady-state solutions and checking their stability. A simple and efficient algorithm, based on a relaxation method, is devised to find steady-state solutions satisfying appropriate boundary conditions. The relaxation dynamics is physically related to a finite response time of the medium