${1\over m_b}$ and ${1\over m_t}$ Expansion of the Weak Mixing Matrix

Details ${1\over m_b}$ and ${1\over m_t}$ Expansion of the Weak Mixing Matrix ${1\over m_b}$ and ${1\over m_t}$ Expansion of the Weak Mixing Matrix

1994-11-14

arxiv.org/abs/hep-ph/9411292v2

Phys.Rev.D51:5240-5244,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

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Scientific paper

10.1103/PhysRevD.51.5240

We perform a $1/m_b$ and $1/m_t$ expansion of the Cabibbo-Kobayashi- Maskawa mixing matrix. Data suggest that the dominant parts of the Yukawa couplings are factorizable into sets of numbers $\vert r>$, $\vert s>$, and $\vert s'>$, associated, respectively, with the left-handed doublets, the right-handed up singlets, and the right- handed down singlets. The first order expansion is consistent with Wolfenstein parameterization, which is an expansion in $sin \theta _c$ to third order. The mixing matrix elements in the present approach are partitioned into factors determined by the relative orientations of $\vert r>$, $\vert s>$, and $\vert s'>$ and the dynamics provided by the subdominant mass matrices. A short discussion is given of some experimental support and a generalized Fritzsch model is used to contrast our approach.

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