Constraints on Left-Right Symmetric and $E_6$ Superstring Models from the Number of Light Neutrino Species

Details Constraints on Left-Right Symmetric and $E_6$ Superstring Models from the Number of Light Neutrino Species Constraints on Left-Right Symmetric and $E_6$ Superstring Models from the Number of Light Neutrino Species

2008-06-12

arxiv.org/abs/0806.2163v1

Mod.Phys.Lett.A24:135-141,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 4 figures, Submit to Modern Physics Letter A

Scientific paper

10.1142/S0217732309027431

Using the experimental value for the rate $R^{LEP} _{exp}=\Gamma_{inv}/\Gamma_{l\bar l}=5.942\pm 0.016$, we derive constraints on the number of light neutrino species with the invisible width method in the framework of a left-right symmetric model (LRSM) and a $E_6$ superstring model as a function of their respective mixing angles for the neutral vector gauge bosons. Using the above LEP result we get the constraints $-1.6\times 10^{-3}\leq\phi \leq 1.1\times 10^{-3}$ and $-1.3\times 10^{-2}\leq\phi_{E_6} \leq 0.4\times 10^{-2}$, which are stronger than those obtained in previous studies of these models.

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