Flavor structure from misalignment of inner products in noncommutative geometry release_dswxoeibdfejrfi35vnqq2av5e

Abstract

In this letter, we consider an idea that induces flavor structure from inner products in noncommutative geometry. Assuming proper components of vectors v_(L,R) i in enlarged representation space for fermions, we can induce the waterfall texture for Yukawa matrices retaining gauge interactions are universal. The hierarchy of the Yukawa interactions is a consequence of "misalignment" between the vectors v_Li and v_Rj.
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