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 Schrödinger 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. © 2012 American Physical Society.
Recommended Citation
V. Achilleos et al., "Multiscale Perturbative Approach To SU(2)-Higgs Classical Dynamics: Stability Of Nonlinear Plane Waves And Bounds Of The Higgs Field Mass," Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 85, no. 2, article no. 27702, American Physical Society, Jan 2012.
The definitive version is available at https://doi.org/10.1103/PhysRevD.85.027702
Department(s)
Physics
International Standard Serial Number (ISSN)
1550-2368; 1550-7998
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Phyiscal Society, All rights reserved.
Publication Date
23 Jan 2012