Stitching an asymmetric texture with T13 × Z5 family symmetry

We propose T13 = Z13⋊Z3 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.