Simple unitarity relations among charged current coupling constants

Abstract

I suggest two new unitarity tests for the quark charged current coupling constants which are $(sin γ/sin α) = ζ$, and $(sin 2γ)/(sin 2α) = - ((1-ζcos β))/(cos β-ζ)$ where $ζ$ is a CKM parameter defined in the text. These unitarity identities do not suffer some of the multi-value ambiguities. Related problems are discussed. The sign of $Δm_{_{B_d}}$ should satisfy the condition $Δm cos 2β< 0$.