In the present paper, I have re-examined the weak basis invariants at low energies, proposed by C. Jarlskog and Branco et. al, respectively, in their earlier analyses, after confronting them with the assumptions of two zeros and an equality between arbitrary non-zero elements in the Majorana neutrino mass matrix in the flavoured basis. This particular conjecture is found to be experimentally feasible as shown by S. Dev and D. Raj in their recent work. The present analysis attempts to find the necessary and sufficient condition for CP invariance for each experimentally viable ansatz, pertaining to the model along with some important implications.

中文翻译：

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CP 不变量对风味混合中微子质量矩阵的影响

在本文中，我重新审视了 C. Jarlskog 和 Branco 等人提出的低能量弱基不变量。al 分别在他们早期的分析中，在他们面对两个零点的假设以及调味基中马约拉纳中微子质量矩阵中任意非零元素之间的相等性之后。正如 S. Dev 和 D. Raj 在他们最近的工作中所表明的那样，这个特定的猜想被发现在实验上是可行的。目前的分析试图为每个实验可行的 ansatz 找到 CP 不变性的充分必要条件，与模型有关，以及一些重要的含义。