对“标准模型夸克扇区中的纹理零点和WB变换“一文的答复
Reply to "Comment on "Texture Zeros and WB Transformations in the Quark Sector of the Standard Model"
摘要:
我们回应S的评论。Sharma等人[Phys. Rev. D 91,038301(2015)]在我最近的论文中,Y. Giraldo [Phys. Rev. D 86,093021(2012)]。在他们的评论中,他们开始讨论我提出的一类特殊的五零纹理非弗里奇夸克质量矩阵,并质疑其有效性。然后,他们对用于对角化夸克质量矩阵的酉矩阵中包含的相位提出了质疑,并声称由此得到的CP破坏参数$ε_k$与实验值不一致。由于这些评论,最后,他们建议在分析弱基变换对纹理的影响时要小心。他们还讨论了其他一些次要问题。在下文中,我将证明所提到的五个零纹理的非Fritzsch类夸克质量矩阵是完全有效的,并产生所有涉及的物理量,包括CP破坏参数$ε_k$,这是需要在用于对角化夸克质量矩阵的酉矩阵中包含相位,以便将CKM矩阵置于标准形式。这些相位可以旋转,因此它们没有任何物理意义。最后,弱基变换的相关性是赞赏:这是{ \it完成},并有利于计算,特别是纹理零。
英文摘要:
We respond to the comments of S. Sharma et al. [Phys. Rev. D 91, 038301 (2015)] on my recent paper, Y. Giraldo [Phys. Rev. D 86, 093021 (2012)]. In their comments, they begin discussing a particular class of five-zero texture non-Fritzsch-like quark mass matrix, which was proposed by me, and questioning its validity. Then, they put in doubt the phases included in the unitary matrices used for diagonalizing the quark mass matrices, from which they claim that the CP violating parameter $ε_k$ obtained does not agree with the experimental value. Because of these comments, finally, they recommend being careful while analyzing the implications of Weak Basis transformations on textures. Other minor points are also discussed by them. In the following, I will show that the mentioned five-zero texture non-Fritzsch-like quark mass matrices is completely valid and generates all the physical quantities involved, including the CP violating parameter $ε_k$, for which is required the inclusion of phases in the unitary matrices used for diagonalizing the quark mass matrices in order to put the CKM matrix in standard form. These phases can be rotated away so they do not have any physical meaning. Finally, the relevance of the weak basis transformation is appreciated: which is {\it complete} and facilitates calculations, especially of textures zeros.
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