论文标题
与模块化$ A_4 $对称的混合通货膨胀的亚临界体制
Subcritical regime of hybrid inflation with modular $A_4$ symmetry
论文作者
论文摘要
我们考虑了具有模块化$ A_4 $对称性的超级重力模型，并讨论中微子混合和通货膨胀之间的相互作用。该模型包含右撇子中微子，该中微子在瀑布场中具有主要肿块和额外的Yukawa耦合。在模型中，主动中微子是无质量的，我们发现仅允许倒立层次结构，并且预计从观察到的netrino混合数据中，预计将大约$ \ pm（120 \ text { - } 180）^\ circ $。在早期的宇宙中，右撇子之一的斯特里诺斯（Sneutrinos）扮演着充气领域的角色。为了关注与宇宙微波背景数据一致的混合膨胀的亚临界状态，我们分析了标量扇区的动力学，并得出了上限$ \ Mathcal {O}（10^{10}）（10^{10}）〜{\ rm Gev} $。
We consider a supergravity model that has the modular $A_4$ symmetry and discuss the interplay between the neutrino mixing and inflation. The model contains right-handed neutrinos that have the Majorana masses and additional Yukawa couplings to the waterfall field. In the model an active neutrino is massless and we find that only the inverted hierarchy is allowed and the Majorana phase is predicted to be around $\pm (120\text{--}180)^\circ$ from the observed neutrino mixing data. In the early universe, one of right-handed sneutrinos plays the role of the inflaton field. Focusing on the subcritical regime of the hybrid inflation that is consistent with the cosmic microwave background data, we analyze the dynamics of the scalar sector and derive an upper bound $\mathcal{O}(10^{10})~{\rm GeV}$ on the scale of the Majorana mass.
