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Radiative corrections to the Higgs potential in the LH model

Abstract

In this work we compute the radiative corrections to the Higgs mass and the Higgs quartic couplings coming from the Higgs sector itself and the scalar fields φ in the Littlest Higgs (LH) model. The restrictions that the new contributions set on the parameter space of the models are also discussed. Finally, this work, together with our three previous papers, complete our program addressed to compute the relevant contributions to the Higgs low-energy effective potential in the LH model and the analysis of their phenomenological consequences.

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References

  1. 1.

    T. Aaltonen et al. (CDF Collaboration), Phys. Rev. Lett. 99, 151801 (2007). arXiv:0707.0085 [hep-ex]

    Article  ADS  Google Scholar 

  2. 2.

    The Tevatron Electroweak Working Group (Tevatron Electroweak Working Group and CDF Collaboration and D0 Collab), arXiv:0803.1683 [hep-ex]

  3. 3.

    N. Arkani-Hamed, A.G. Cohen, E. Katz, A.E. Nelson, J. High Energy Phys. 0207, 034 (2002). hep-ph/0206021

    Article  MathSciNet  ADS  Google Scholar 

  4. 4.

    H. Georgi, A. Pais, Phys. Rev. D 10, 539 (1974)

    Article  ADS  Google Scholar 

  5. 5.

    H. Georgi, A. Pais, Phys. Rev. D 12, 508 (1975)

    Article  ADS  Google Scholar 

  6. 6.

    M. Schmaltz, D. Tucker-Smith, Annu. Rev. Nucl. Part. Sci. 55, 229 (2005). hep-ph/0502182

    Article  ADS  Google Scholar 

  7. 7.

    M. Perelstein, Prog. Part. Nucl. Phys. 58, 247 (2007). hep-ph/0512128

    Article  ADS  Google Scholar 

  8. 8.

    M. Schmaltz, J. High Energy Phys. 0408, 056 (2004). hep-ph/0407143

    Article  MathSciNet  ADS  Google Scholar 

  9. 9.

    H.C. Cheng, I. Low, J. High Energy Phys. 0408, 061 (2004). hep-ph/0405243

    Article  MathSciNet  ADS  Google Scholar 

  10. 10.

    D.E. Kaplan, M. Schmaltz, J. High Energy Phys. 0310, 039 (2003). hep-ph/0302049

    Article  MathSciNet  ADS  Google Scholar 

  11. 11.

    H.C. Cheng, I. Low, J. High Energy Phys. 0309, 051 (2003). hep-ph/0308199

    Article  ADS  Google Scholar 

  12. 12.

    I. Low, W. Skiba, D. Tucker-Smith, Phys. Rev. D 66, 072001 (2002). hep-ph/0207243

    Article  ADS  Google Scholar 

  13. 13.

    C. Csaki, J. Hubisz, G.D. Kribs, P. Meade, J. Terning, Phys. Rev. D 67, 115002 (2003). hep-ph/0211124

    Article  ADS  Google Scholar 

  14. 14.

    C. Csaki, J. Hubisz, G.D. Kribs, P. Meade, J. Terning, Phys. Rev. D 68, 035009 (2003). hep-ph/0303236

    Article  ADS  Google Scholar 

  15. 15.

    Z. Han, W. Skiba, Phys. Rev. D 72, 035005 (2005). hep-ph/0506206

    Article  ADS  Google Scholar 

  16. 16.

    H.E. Logan, Phys. Rev. D 70, 115003 (2004). hep-ph/0405072

    Article  ADS  Google Scholar 

  17. 17.

    T. Han, H.E. Logan, B. McElrath, L.T. Wang, Phys. Lett. B 563, 191 (2003) [Erratum-ibid. B 603, 257 (2004)]. hep-ph/0302188

    Article  ADS  Google Scholar 

  18. 18.

    J.L. Hewett, F.J. Petriello, T.G. Rizzo, J. High Energy Phys. 0310, 062 (2003). hep-ph/0211218

    Article  ADS  Google Scholar 

  19. 19.

    T. Gregoire, D.R. Smith, J.G. Wacker, Phys. Rev. D 69, 115008 (2004). hep-ph/0305275

    Article  ADS  Google Scholar 

  20. 20.

    M.C. Chen, S. Dawson, Phys. Rev. D 70, 015003 (2004). hep-ph/0311032

    Article  ADS  Google Scholar 

  21. 21.

    W. Kilian, J. Reuter, Phys. Rev. D 70, 015004 (2004). hep-ph/0311095

    Article  ADS  Google Scholar 

  22. 22.

    G. Marandella, C. Schappacher, A. Strumia, Phys. Rev. D 72, 035014 (2005). hep-ph/0502096

    Article  ADS  Google Scholar 

  23. 23.

    S.K. Kang, C.S. Kim, J. Park, Phys. Lett. B 666, 38 (2008). arXiv:0805.0179 [hep-ph]

    Article  ADS  Google Scholar 

  24. 24.

    M.C. Chen, Mod. Phys. Lett. A 21, 621 (2006). hep-ph/0601126

    Article  ADS  Google Scholar 

  25. 25.

    S.R. Choudhury, A.S. Cornell, N. Gaur, A. Goyal, hep-ph/0604162

  26. 26.

    J.A. Conley, J. Hewett, M.P. Le, Phys. Rev. D 72, 115014 (2005). hep-ph/0507198

    Article  ADS  Google Scholar 

  27. 27.

    C.O. Dib, R. Rosenfeld, A. Zerwekh, AIP Conf. Proc. 815, 296 (2006). hep-ph/0509013

    Article  ADS  Google Scholar 

  28. 28.

    Z. Berezhiani, P.H. Chankowski, A. Falkowski, S. Pokorski, Phys. Rev. Lett. 96, 031801 (2006). hep-ph/0509311

    Article  ADS  Google Scholar 

  29. 29.

    T. Han, H.E. Logan, B. McElrath, L.-T. Wang, Phys. Rev. D 67, 095005 (2003). hep-ph/0301040

    Article  ADS  Google Scholar 

  30. 30.

    M. Perelstein, M.E. Peskin, A. Pierce, Phys. Rev. D 69, 075002 (2004). hep-ph/0310039

    Article  ADS  Google Scholar 

  31. 31.

    A. Dobado, L. Tabares, S. Peñaranda, Eur. Phys. J. C 50, 647 (2007). hep-ph/0606031

    Article  ADS  Google Scholar 

  32. 32.

    A. Dobado, L. Tabares, S. Peñaranda, Phys. Rev. D 75, 083527 (2007). hep-ph/0612131

    Article  ADS  Google Scholar 

  33. 33.

    A. Dobado, L. Tabares, S. Peñaranda, Eur. Phys. J. C 58, 471 (2008). arXiv:0711.4471 [hep-ph]

    Article  ADS  Google Scholar 

  34. 34.

    F. Bazzocchi, M. Fabbrichesi, M. Piai, Phys. Rev. D 72, 095019 (2005). hep-ph/0506175

    Article  ADS  Google Scholar 

  35. 35.

    J.A. Casas, J.R. Espinosa, I. Hidalgo, J. High Energy Phys. 0503, 038 (2005)

    Article  ADS  Google Scholar 

  36. 36.

    A. Dobado, A. Gómez-Nicola, A.L. Maroto, J.R. Peláez, Effective Lagrangians for the Standard Model (Springer, Heidelberg, 1997)

    MATH  Google Scholar 

  37. 37.

    A. Manohar, H. Georgi, Nucl. Phys. B 234, 189 (1984)

    Article  ADS  Google Scholar 

  38. 38.

    M.A. Luty, Phys. Rev. D 57, 1531 (1998). hep-ph/9706235

    Article  ADS  Google Scholar 

  39. 39.

    A.G. Cohen, D.B. Kaplan, A.E. Nelson, Phys. Lett. B 412, 301 (1997)

    Article  ADS  Google Scholar 

  40. 40.

    J.R. Espinosa, J.M. No, J. High Energy Phys. 0701, 006 (2007). hep-ph/0610255

    Article  Google Scholar 

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Correspondence to Siannah Peñaranda.

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Dobado, A., Tabares-Cheluci, L., Peñaranda, S. et al. Radiative corrections to the Higgs potential in the LH model. Eur. Phys. J. C 66, 429–443 (2010). https://doi.org/10.1140/epjc/s10052-010-1259-9

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Keywords

  • Higgs Boson
  • Gauge Boson
  • Higgs Mass
  • Radiative Correction
  • High Energy Phys