Simple unitarity relations among charged current coupling constants

Abstract

I suggest two new unitarity tests for the quark charged current coupling constants which are $(sin\gamma /sin\alpha )=\zeta$, and $(sin2\gamma )/(sin2\alpha )=-((1-\zeta cos\beta ))/(cos\beta -\zeta )$ where $\zeta$ 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 $\Delta m_{{}_{B_d}}$ should satisfy the condition $\Delta mcos2\beta <0$.

6 pages, Latex file