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arXiv 2103.07207hep-ph
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基于$_4$模不变性的中微子破缺标度质量矩阵和轻子生成

Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A$_4$ Modular invariance

Monal Kashav, Surender Verma

摘要:

在这项工作中,我们提出了一个模块化的$A_4$对称模型的中微子质量,同时,解释观察到的重子不对称的宇宙(BAU)。在标准模型的最小扩展中,我们在超对称的框架下研究了两个右手中微子。在I型跷跷板水平,模型预测中微子质量矩阵的标度。为了得到正确的低能现象学,我们提出了两种可能的情形,即I型跷跷板产生的中微子质量矩阵的标度破缺。场景1基于5维温伯格算子,而场景2通过标量三重态希格斯超场($Δ,\barΔ$)实现II型跷跷板。有趣的是,在这两个,否则动态不同的情况下,断裂模式是相似的,这可以归因于相同的电荷分配的超场($Δ,\barΔ$)和模块$A_4$对称下的希格斯超场$H_u$。发现断裂与模块重量10($Y_{1,1'}^{10}$)的汤川耦合成比例。我们进一步研究了模型在第二种情形(I +II型)下对中微子质量、混合和宇宙物质-反物质不对称性的预测。该模型预测正常的层次中微子质量,并提供了一个强大的范围($0.05-0.08$)eV的中微子质量($\sum m_{i}$)的总和。轻子数违反$0νββ$衰变幅度($M_{ee}$)位于($0.04-0.06$)eV范围内。未来的$0νββ$衰变实验,如NEXT和nEXO,将对模型进行关键性的测试。模型中既允许$CP$守恒解,也允许$CP$破坏解。有趣的相关性,特别是,汤川耦合模块重量2和复模量$τ$。在($(1-5)\times10^{13}$)GeV范围内,该模型对右手Majorana中微子质量标度表现出一致的BAU解释.

英文摘要:

In this work, we have proposed a modular $A_4$ symmetric model of neutrino mass which, simultaneously, explains observed baryon asymmetry of the Universe(BAU). In minimal extension of the standard model(SM) with two right-handed neutrinos we work in a supersymmetric framework. At Type-I seesaw level, the model predicts scaling in the neutrino mass matrix. In order to have correct low energy phenomenology, we propose two possible scenarios of scale-breaking in the neutrino mass matrix emanating from Type-I seesaw. Scenario-1 is based on the dimension-5 Weinberg operator whereas scenario-2 implements Type-II seesaw via scalar triplet Higgs superfields($Δ,\barΔ$). Interestingly, the breaking patterns in both, otherwise dynamically different scenarios, are similar which can be attributed to the same charge assignments of superfields($Δ,\barΔ$) and the Higgs superfield $H_u$ under modular $A_4$ symmetry. The breaking is found to be proportional to the Yukawa coupling of modular weight 10($Y_{1,1'}^{10}$). We, further, investigates the predictions of the model under scenario-2 (Type-I+II) for neutrino mass, mixings and matter-antimatter asymmetry of the Universe. The model predicts normal hierarchical neutrino masses and provide a robust range ($0.05-0.08$)eV for sum of neutrino masses($\sum m_{i}$). Lepton number violating $0νββ$ decay amplitude($M_{ee}$) is obtained to lie in the range ($0.04-0.06$)eV. Future $0νββ$ decay experiments such as NEXT and nEXO shall pose crucial test for the model. Both $CP$ conserving and $CP$ violating solutions are allowed in the model. Interesting correlations are obtained, specially, between Yukawa couplings of modular weight 2 and complex modulus $τ$. The model exhibit consistent explanation of BAU for right-handed Majorana neutrino mass scale in the range ($(1-5)\times10^{13}$)GeV.

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