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Theoretical constraints on the couplings of non-exotic minimal Z′ bosons

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Abstract

We have combined perturbative unitarity and renormalisation group equation arguments in order to find a dynamical way to constrain the space of the gauge couplings of the so-called “Minimal Z′ Models”. We have analysed the role of the gauge couplings evolution in the perturbative stability of the two-to-two body scattering amplitudes of the vector and scalar sectors of these models and we have shown that perturbative unitarity imposes an upper bound that is generally stronger than the triviality constraint. We have also demonstrated how this method quantitatively refines the usual triviality bound in the case of benchmark scenarios such as the U(1) χ , the U(1) R or the “pure” U(1) B−L extension of the Standard Model. Finally, a description of the underlying model structure in Feynman gauge is provided.

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Authors and Affiliations

  1. School of Physics & Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.

    Lorenzo Basso, Stefano Moretti & Giovanni Marco Pruna

  2. Particle Physics Department, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 0QX, U.K.

    Lorenzo Basso, Stefano Moretti & Giovanni Marco Pruna

Authors
  1. Lorenzo Basso
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  2. Stefano Moretti
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  3. Giovanni Marco Pruna
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Correspondence to Giovanni Marco Pruna.

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ArXiv ePrint: 1106.4762

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Basso, L., Moretti, S. & Pruna, G.M. Theoretical constraints on the couplings of non-exotic minimal Z′ bosons. J. High Energ. Phys. 2011, 122 (2011). https://doi.org/10.1007/JHEP08(2011)122

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  • DOI: https://doi.org/10.1007/JHEP08(2011)122

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