We propose T 13 = Z 13 ? Z 3 as the underlying non-Abelian discrete family symmetry of the asymmetric texture presented in [M.?H. Rahat, P. Ramond, and B. Xu, Phys. Rev. D 98 , 055030 (2018).]. Its mod 13 arithmetic distinguishes each Yukawa matrix element of the texture. We construct a model of effective interactions that singles out the asymmetry and equates, without fine-tuning, the products of down-quark and charged-lepton masses at a GUT-like scale.
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机译：我们建议T 13 = Z 13？ Z 3作为[M.H.H.]中提出的不对称纹理的潜在非阿贝尔离散族对称性。 Rahat，P.Ramond和B.Xu，物理学。修订版D 98，055030（2018）。]。其mod 13算法可区分纹理的每个Yukawa矩阵元素。我们构建了一个有效的相互作用模型，该模型指出了不对称性，并在不进行微调的情况下等效于GUT样的夸克和带电荷轻子质量的乘积。
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