Skip to main content
SpringerLink
Log in

Non-local Higgs actions: tree-level electroweak constraints and high-energy unitarity

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We consider electroweak symmetry breaking by a certain class of non-local Higgs sectors. Extending previous studies employing the Mandelstam condition, a straight Wilson line is used to make the Higgs action gauge invariant. We show the unitarization of vector-boson scattering for a wide class of non-local actions, but find that the Wilson-line model leads to tree-level corrections to electroweak precision observables, which restrict the parameter space of the model. We also find that Unhiggs models cannot address the hierarchy problem, once the parameters are expressed in terms of low-energy observables.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Georgi, Unparticle physics, Phys. Rev. Lett. 98 (2007) 221601 [hep-ph/0703260] [SPIRES].

    Article  ADS  Google Scholar 

  2. D. Stancato and J. Terning, The unhiggs, JHEP 11 (2009) 101 [arXiv:0807.3961] [SPIRES].

    Article  ADS  Google Scholar 

  3. A. Falkowski and M. Pérez-Victoria, Holographic unhiggs, Phys. Rev. D 79 (2009) 035005 [arXiv:0810.4940] [SPIRES].

    ADS  Google Scholar 

  4. G. Cacciapaglia, G. Marandella and J. Terning, The AdS/CFT/unparticle correspondence, JHEP 02 (2009) 049 [arXiv:0804.0424] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. A. Falkowski and M. Pérez-Victoria, Electroweak breaking on a soft wall, JHEP 12 (2008) 107 [arXiv:0806.1737] [SPIRES].

    Article  ADS  Google Scholar 

  6. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [SPIRES].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. S. Mandelstam, Quantum electrodynamics without potentials, Annals Phys. 19 (1962) 1 [SPIRES].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. J. Galloway, D. Martin and D. Stancato, Comments on ’Gauge fields and unparticles’, arXiv:0802.0313 [SPIRES].

  9. A. Ilderton, Unparticle actions and gauge invariance, Phys. Rev. D 79 (2009) 025014 [arXiv:0810.3916] [SPIRES].

    ADS  Google Scholar 

  10. A. Licht, The Mandelstam-Terning line integral in unparticle physics: a reply to Galloway, Martin and Stancato, arXiv:0802.4310 [SPIRES].

  11. A. Licht and W.-Y. Keung, The gauged unparticle action, arXiv:0806.3596 [SPIRES].

  12. A. Lewis Licht, Wilson line integrals in the unparticle action, arXiv:0805.3849 [SPIRES].

  13. M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [SPIRES].

    ADS  Google Scholar 

  14. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021 [SPIRES].

    ADS  Google Scholar 

  15. J.M. Cornwall, D.N. Levin and G. Tiktopoulos, Derivation of gauge invariance from high-energy unitarity bounds on the s matrix, Phys. Rev. D 10 (1974) 1145 [Erratum ibid. D 11 (1975) 972] [SPIRES].

  16. B.W. Lee, C. Quigg and H. Thacker, Weak Interactions at very high-energies: the role of the Higgs boson mass, Phys. Rev. D 16 (1977) 1519 [SPIRES].

    ADS  Google Scholar 

  17. M.S. Chanowitz and M.K. Gaillard, The TeV physics of strongly interacting W’s and Z’s, Nucl. Phys. B 261 (1985) 379 [SPIRES].

    Article  ADS  Google Scholar 

  18. G. Gounaris, R. Kögerler and H. Neufeld, Relationship between longitudinally polarized vector bosons and their unphysical scalar partners, Phys. Rev. D 34 (1986) 3257 [SPIRES].

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen University, D-52056, Aachen, Germany

    M. Beneke, P. Knechtges & A. Mück

Authors
  1. M. Beneke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Knechtges
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Mück
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Mück.

Additional information

ArXiv ePrint: 1108.1876

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beneke, M., Knechtges, P. & Mück, A. Non-local Higgs actions: tree-level electroweak constraints and high-energy unitarity. J. High Energ. Phys. 2011, 76 (2011). https://doi.org/10.1007/JHEP10(2011)076

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP10(2011)076

Keywords

Search

Navigation