CKM Mixing Unitarity Triangle
What you are seeing: the CKM unitarity condition drawn as three complex side-vectors added tip-to-tail, closing the triangle with vertices , , and angles . The enclosed area is the Jarlskog invariant, so the CP-asymmetry panel shows the vs golden-mode rates (): a flat triangle gives equal rates (no CP violation), a fat one a large asymmetry. Drag to move the apex.
ρ̄0.157
η̄0.355
η̄:0.355
WHAT TO TRY
- Drag the apex (rho-bar, eta-bar): the three CKM side-vectors stay tip-to-tail and the triangle keeps closing, because unitarity forces the sum to zero. The angles alpha, beta, gamma always add to 180 degrees.
- Flatten the triangle toward the real axis (eta-bar to 0): the area collapses and so does the Jarlskog invariant, the single measure of CP violation. A degenerate triangle means no CP violation.
- Compare the apex against the CP-asymmetry bars: a non-zero height eta-bar is what makes the B0 and B0-bar decay rates differ, the matter-antimatter asymmetry the experiments measure.