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Multiscale perturbative approach to SU(2)-Higgs classical dynamics: Stability of nonlinear plane waves and bounds of the Higgs field mass

V. Achilleos1, F. K. Diakonos1, D. J. Frantzeskakis1, G. C. Katsimiga1, X. N. Maintas1, C. E. Tsagkarakis1, and A. Tsapalis1,2

  • 1Department of Physics, University of Athens, GR-15874 Athens, Greece
  • 2Hellenic Naval Academy, Hatzikyriakou Avenue, Pireaus 185 39, Greece

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Phys. Rev. D 85, 027702 – Published 23 January, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.027702

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.

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References (21)

  1. P. W. Higgs, Phys. Lett. 12, 132 (1964); Phys. Rev. Lett. 13, 508 (1964); Phys. Rev. 145, 1156 (1966); F. Englert and R. Brout, Phys. Rev. Lett. 13, 321 (1964); G. Guralnik, C. Hagen, and T. Kibble, 13, 585 (1964); S. Dittmaier et al. (LHC Higgs Cross Section Working Group), arXiv:1101.0593, https://twiki.cern.ch/twiki/bin/view/LHCPhysics/CrossSections.
  2. A. Djouadi, Phys. Rep. 457, 1 (2008); 459, 1 (2008).
  3. T. Schücker, arXiv:0708.3344.
  4. A. Jeffrey and T. Kawahara, Asymptotic Methods in Non-linear Wave Theory (Pitman, London, 1982).
  5. A. A. Anselm and M. G. Ryskin, Phys. Lett. B 266, 482 (1991).
  6. S. Coleman, Phys. Lett. 70B, 59 (1977); C. H. Oh and R. Teh, Phys. Lett. 87B, 83 (1979).
  7. G. Z. Baseyan, S. G. Matinyan, and G. K. Savvidy, Pis’ma Zh. Eksp. Teor. Fiz. 29, 641 (1979).
  8. S. G. Matinyan, G. K. Savvidy, and N. G. Ter-Arutyunyan-Savvidy, Sov. Phys. JETP 53, 421 (1981); 34, 590 (1981).
  9. M. Wellner, Phys. Rev. Lett. 68, 1811 (1992); Phys. Rev. E 50, 780 (1994).
  10. A. Smilga, Lectures on Quantum Chromodynamics (World Scientific, Singapore, 2001).
  11. M. Frasca, Phys. Rev. D 73, 027701 (2006); Phys. Lett. B 670, 73 (2008); Mod. Phys. Lett. A 24, 2425 (2009).
  12. D. J. Frantzeskakis, J. Phys. A 43, 213001 (2010).
  13. L. M. Pismen, Vortices in Nonlinear Fields (Clarendon, Oxford, 1999).
  14. C. A. Jones and P. H. Roberts, J. Phys. A 15, 2599 (1982).
  15. C. Sulem and P. L. Sulem, The Nonlinear Schrödinger Equation (Springer-Verlag, Berlin, 1999).
  16. The destabilization of plane waves under small-amplitude long-wavelength perturbations is known as “modulational instability” or Benjamin-Feir instability [T. B. Benjamin and J. E. Feir, J. Fluid Mech. 27, 417 (1967)], and occurs in various contexts, including fluid mechanics [G. B. Whitham, 22, 273 (1965)], dielectrics [L. A. Ostrovsky, Sov. Phys. JETP 24, 797 (1967)], plasmas [A. Hasegawa, Phys. Fluids 15, 870 (1972)]

    , etc.

  17. The LEP Electroweak Working Group, http://lepewwg.web.cern.ch/LEPEWWG/.
  18. The Tevatron Electroweak Working Group, http://tevewwg.fnal.gov/; The CMS Collaboration, Phys. Lett. B 699, 25 (2011).
  19. The Atlas Collaboration, Report No. ATLAS-CONF-2011-135; The CMS Collaboration, Report No. CMS PAS HIG-11-022.
  20. A. Djouadi, J. Kalinowski, and M. Spira, Comput. Phys. Commun. 108, 56 (1998).
  21. F. J. Himpsel, arXiv:1108.1736.

Outline

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Phys. Rev. D 85, 027702– Published 23 January, 2012
  • Received 3 October 2011

© 2012 American Physical Society

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