Constraining the $g'_1$ coupling in the minimal $B-L$ Model

Details Constraining the $g'_1$ coupling in the minimal $B-L$ Model Constraining the $g'_1$ coupling in the minimal $B-L$ Model

2010-09-21

arxiv.org/abs/1009.4164v5

J. Phys. G: Nucl. Part. Phys. 39 (2012) 025004

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, 1 table; corrected typos, corrected formulae, changed figure, added text, results are unchanged

Scientific paper

10.1088/0954-3899/39/2/025004

We have combined the perturbative unitarity and the renormalisation group equations arguments in order to find a dynamical way to constrain the $g'_1$ coupling of the minimal $B-L$ extension of the Standard Model. We have analysed the role of the $g'_1$ coupling evolution in the perturbative stability of the two-to-two body scattering amplitudes of the vector boson and scalar sectors of the model and we have shown that the perturbative unitarity imposes an upper bound on the $B-L$ gauge coupling. We have made a comparison between this criterion and the triviality arguments, showing that our procedure substantially refines the triviality bounds.

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