We study the possibility of simultaneously addressing neutrino phenomenology and the dark matter in the framework of inverse seesaw. The model is the extension of the standard model by the addition of two right handed neutrinos and three sterile fermions which leads to a light sterile state with the mass in the keV range along with three light active neutrino states. The lightest sterile neutrino can account for a feasible dark matter(DM) candidate. We present a $S_{4}$ flavor symmetric model which is further augmented by $Z_{4}\times Z_{3}$ symmetry to constrain the Yukawa Lagrangian. The structures of the mass matrices involved in inverse seesaw within the $S_{4}$ framework naturally give rise to correct neutrino mass matrix with non-zero reactor mixing angle $ \theta_{13}$. In this framework, we conduct a detailed numerical analysis both for normal hierarchy as well as inverted hierarchy to obtain dark matter mass and DM-active mixing which are the key factors for considering sterile neutrino as a viable dark matter candidate. We constrain the parameter space of the model from the latest cosmological bounds on the mass of the dark matter and DM-active mixing.

中文翻译：

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具有 S4 味对称性的 keV 尺度无菌中微子暗物质的现象学

我们研究了在逆跷跷板框架中同时解决中微子现象学和暗物质的可能性。该模型是标准模型的扩展，通过添加两个右手中微子和三个无菌费米子，导致质量在 keV 范围内的轻无菌状态以及三个轻活性中微子状态。最轻的无菌中微子可以解释一个可行的暗物质 (DM) 候选者。我们提出了一个 $S_{4}$ 风味对称模型，该模型通过 $Z_{4}\times Z_{3}$ 对称性进一步增强以约束 Yukawa Lagrangian。$S_{4}$框架内的反跷跷板质量矩阵的结构自然会产生具有非零反应堆混合角$\theta_{13}$的正确中微子质量矩阵。在这个框架中，我们对正常层次和倒层次进行了详细的数值分析，以获得暗物质质量和 DM 活性混合，这是将惰性中微子视为可行暗物质候选者的关键因素。我们根据暗物质质量和 DM 活性混合的最新宇宙学界限来约束模型的参数空间。