Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-04-14
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 8 figures. References updated and typos corrected
Scientific paper
The heterotic string theory can embeds the crossed SU(5) x SU(5) gauge group. Here we investigate the string unification in this framework and the concerning problems. We show generically that only a very constrained parameter space is allowed for new particles, mostly due to the gauge coupling constant $\alpha_1^{-1}$. One possible but unfavorable solution is given by the introduction of three fermion generations of SU(5)_L-adjoint representation. Only the low-scale decompositions of SU(5)_L with vanishing hypercharge, $\Sigma_3\sim(1,3)_0$ and $\Sigma_8\sim(8,1)_0$, of fermionic and bosonic types can be included to circumvent the problem. The triplets must live in TeV region and could be accessible at colliders. We also show that non-supersymmetric scenario is exclusively compatible with the introduction of additional color-SU(2)_L-triplet field while supersymmetry is solely possible at high-energy scale. All these intermediated thresholds are easily incorporated into the called Adjoint SU(5) schemes.
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