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arXiv 2604.06384hep-ph
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一种A4模型以实现最大theta23和最大delta并符合mu-tau反射对称性

An A4 model to accommodate maximal theta23 and maximal delta consistent with mu-tau reflection symmetry

Department of Physics, Dibrugarh University(迪布鲁加尔大学物理系)

Rupak Chakrabarty, Chandan Duarah

AI总结:

本文提出基于A4对称性的味模型,结合I型锯齿机制,实现符合mu-tau反射对称性的轻中微子质量矩阵,预测最大theta23和delta,并与实验观测一致。

摘要:

在本文中,我们构建了一个基于A4对称性的味对称性模型,结合I型锯齿机制,以实现符合mu-tau反射对称性的轻中微子质量矩阵。整个框架基于标准模型规范对称性扩展的离散群A4×Z2×Z4。一般来说,轻Majorana中微子质量矩阵的元素是复数。在广义CP对称性极限下,质量矩阵的mu-tau反射对称纹理可以实现。在该对称性极限下,模型预测最大大气混合角theta23=pi/4和最大Dirac CP相位delta=pi/2或3pi/2。这些特征与当前实验观测一致,包括theta23的近最大值、反应角非零以及delta接近270度的偏好,如T2K和NOvA实验所示。当不局限于CP对称性极限时,非最大theta23和delta值可以被容纳。模型对混合角和Dirac CP相位delta的预测由两个参数控制。我们进行了数值分析,以确定与当前全球三中微子振荡数据一致的模型参数允许值。该模型成功再现了theta23和delta从最大值的偏差,与全球拟合数据一致,同时容纳了观测到的theta12和theta13值。

英文摘要:

In this work, we construct an A4-based flavor symmetry model within the framework of the type-I seesaw mechanism to realize a light neutrino mass matrix consistent with mu-tau reflection symmetry. The entire framework is based on the Standard Model gauge symmetry extended by the discrete group A4 x Z2 x Z4. In general, the elements of the light Majorana neutrino mass matrix are complex. The mu-tau reflection symmetric texture of the mass matrix can be realized in a generalized CP symmetry limit. In this symmetry limit, the model predicts a maximal atmospheric mixing angle theta23 = pi/4 and a maximal Dirac CP phase delta = pi/2 or 3pi/2. These features are consistent with current experimental observations, including a near-maximal value of theta23, a non-zero reactor angle, and a preference for delta close to 270 degrees, as indicated by the T2K and NOvA experiments. Non-maximal values of theta23 and delta can be accommodated when one does not restrict to the CP symmetry limit. The model predictions for the mixing angles and the Dirac CP phase delta are then controlled by two parameters. We perform a numerical analysis to identify the allowed values of the model parameters consistent with current global three-neutrino oscillation data. The model successfully reproduces the desired deviations of theta23 and delta from their maximal values, consistent with global fit data, while simultaneously accommodating the observed values of theta12 and theta13.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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