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Top quark and neutrino composite Higgs bosons

  • Regular Article - Theoretical Physics
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Abstract

In the context of top-quark condensation models, the top quark alone is too light to saturate the correct value of the electroweak scale by its condensate. Within the seesaw scenario the neutrinos can have their Dirac masses large enough so that their condensates can provide a significant contribution to the value of the electroweak scale. We address the question of a phenomenological feasibility of the top-quark and neutrino condensation conspiracy against the electroweak symmetry. It is mandatory to reproduce the masses of electroweak gauge bosons, the top-quark mass and the recently observed scalar mass of 125 GeV and to satisfy the upper limits on absolute value of active neutrino masses. To accomplish that we design a reasonably simplified effective model with two composite Higgs doublets. Additionally, we work with a general number N of right-handed neutrino flavor triplets participating on the seesaw mechanism. There are no experimental constraints limiting this number. The upper limit is set by the model itself. Provided that the condensation scale is of order 1017−18 GeV and the number of right-handed neutrinos is \(\mathcal{O}(100\mbox{--}1000)\), the model predicts masses of additional Higgs bosons below 250 GeV and a suppression of the top-quark Yukawa coupling to the 125 GeV particle at the ∼60 % level of the Standard model value.

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Notes

  1. The rest of standard fermions and their corresponding symmetries are of course present in the model in order to provide proper anomaly cancelation, but we hold them back here as they do not participate in the symmetry breaking in our simplified analysis. Due to the factorization assumption the three generations of leptons exhibit a single common symmetry group.

  2. The limit in parentheses follows from B→X s γ but it is very sensitive to assumptions and to input parameters.

  3. In the ATLAS and CMS analyses the overall fermion scaling factor C F is used, instead of C t , which scales only the top-quark Yukawa interaction in our model. In any case C t =C F .

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Acknowledgements

The author gratefully acknowledges discussions with J. Hošek and P. Beneš. The author is also grateful for meeting with F. Sannino and M. Lindner and discussing the issue with them. The work was supported by the Research Program MSM6840770029, by the MEIS of Czech Republic LM2011027 and by the project of International Cooperation ATLAS-CERN LA08032. The work was also supported by TJ Balvan Praha.

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  1. Institute of Experimental and Applied Physics, Czech Technical University in Prague, Horská 3a/22, 128 00, Prague 2, Czech Republic

    Adam Smetana

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Correspondence to Adam Smetana.

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Smetana, A. Top quark and neutrino composite Higgs bosons. Eur. Phys. J. C 73, 2513 (2013). https://doi.org/10.1140/epjc/s10052-013-2513-8

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