$θ_{13}$, CP Violation and Leptogenesis in Minimal Supersymmetric $SU(4)_c \times SU(2)_L \times SU(2)_R$

Details $θ_{13}$, CP Violation and Leptogenesis in Minimal Supersymmetric $SU(4)_c \times SU(2)_L \times SU(2)_R$ $θ_{13}$, CP Violation and Leptogenesis in Minimal Supersymmetric $SU(4)_c \times SU(2)_L \times SU(2)_R$

2011-09-22

arxiv.org/abs/1109.4963v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 4 figures

Scientific paper

We consider a supersymmetric SU(4)$_c \timesSU(2)_L \timesSU(2)_R$ model with a minimal number of Higgs multiplets and a single CP-violating phase $\delta_{CP}$ in the neutrino flavor mixing matrix.The model incorporates the charged fermion masses and quark mixings, and uses type I seesaw to explain the solar and atmospheric neutrino oscillations. We employ thermal leptogenesis and the observed baryon asymmetry to find the allowed range for $\delta_{CP}$ and the reactor mixing angle $\theta_{13}$. For a normal neutrino mass hierarchy, we find two contours in the $\sin^2 (2 \theta_{13})$ - $\delta_{CP}$ parameter space, along which the observed baryon asymmetry is reproduced. For both contours, a lower bound $\sin^2 (2 \theta_{13}) \gtrsim 0.03$ is obtained. The upper bound turns out to be $\sin^2 (2 \theta_{13})< 0.25$ and 0.35, respectively, both of which exceed the current bound from the reactor experiment. The CP-violating phase $\delta_{CP}$ can be determined from our results if $ \sin^2 (2 \theta_{13})$ is precisely measured. For the case of inverted neutrino mass hierarchy the predicted baryon asymmetry is not compatible with the observed value.

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