Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-12-06
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 2 figures, text revised thoroughly, results unchanged
Scientific paper
The lower bounds on the masses of supersymmetric particles from LHC data and the upper bound on the sum of three active neutrino masses ($\sum_i m_{\nu_i}$) from sky survey data have reached interestingly very strong limits. We show that there exists a correlation between the lower bounds on sparticle masses and the upper bound on $\sum_i m_{\nu_i}$ if there is unification of quark and lepton mixings at the grand unification scale. The lower bounds on sparticle masses increase as the upper bound on $\sum_i m_{\nu_i}$ decreases. For negative $\mu$ (with conventional definition of sign) there is a strong lower bound on $\sum_i m_{\nu_i} \gapp 1$ eV. Surprisingly, on the other hand, for positive $\mu$ if $\sum_i m_{\nu_i}<1$ eV, the bounds on sparticle masses follow the recent LHC result. This upper bound on neutrino mass is strongly favored by the sky survey data and the positive sign of $\mu$ is again preferred by $g-2$ of the muon. Finally, we find that the quark-lepton unification is consistent with present experimental data and it strongly constrains the parameter space of supersymmetry breaking models.
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