A multi-scale perturbative approach to SU(2)-Higgs classical dynamics: stability of nonlinear plane waves and bounds of the Higgs field mass

Abstract

We study the classical dynamics of SU(2)-Higgs field theory using multiple scale perturbation theory. In the spontaneously broken phase, assuming small perturbations of the Higgs field around its vacuum expectation value, we derive a nonlinear Schroedinger equation and study the stability of its nonlinear plane wave solutions. The latter, turn out to be stable only if the Higgs amplitude is an order of magnitude smaller than that of the gauge field. In this case, the Higgs field mass possesses some bounds which may be relevant to the search for the Higgs particle at ongoing experiments.

5 pages, no figures

References in corpus (3)

• Measurement of WW Production and Search for the Higgs Boson in pp Collisions at sqrt(s) = 7 TeV
• Infrared Gluon and Ghost Propagators
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case

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• Supersymmetry and Fermionic Modes in an Oscillon Background
• Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter
• Elliptically oscillating solutions in Abelian-Higgs model and electromagnetic property