Correlations between quark mass and flavor mixing hierarchies

Abstract

We calculate the quark flavor mixing matrix $V$ based on the Hermitian quark mass matrices $M_{\mathrm{u}}^{}$ and $M_{\mathrm{d}}^{}$ with vanishing $(1,1)$, $(1,3)$ and $(3,1)$ entries. The popular leading-order prediction $|V_{ub}^{}/V_{cb}^{}|\simeq \sqrt{m_u^{}/m_c^{}}$ is significantly modified, and the result agrees with the current experimental value. We find that behind the strong {\it mass} hierarchy of up- or down-type quarks is the weak {\it texture} hierarchy of $M_{\mathrm{u}}^{}$ or $M_{\mathrm{d}}^{}$ characterized by an approximate seesaw-like relation among its $(2,2)$, $(2,3)$ and $(3,3)$ elements.

18 pages, the version accepted for publication in NPB

References in corpus (9)

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Cited by in corpus (5)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Classification of Abelian domain walls
• Minimizing the phase structure of quark mass matrices
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture