Quark mixing angles and weak CP-violating phase vs quark masses: Potential approach

Abstract

It is shown that the following experimentally viable expressions for quark mixing angles [Formula: see text], [Formula: see text], [Formula: see text] and CP-violating phase [Formula: see text]: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] may be derived as stable points of certain fourth power in [Formula: see text] flavor-invariant potentials built with traces of 3 [Formula: see text] 3 quark up and down mass matrices and the Jarlskog invariant. There is no fine-tuning, potentials’ dimensionless constants are the integer numbers not above 10.