TITLE:
The Equation for the CP Violating Phase for Quarks: The Rule for the Sum of Quark Oscillation Probabilities
AUTHORS:
Zoran B. Todorovic
KEYWORDS:
Quarks, CKM Matrix, PMNS Matrix, Wolfenstein Parameterization, CP Violation Phase, Jarlskog Invariant
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.10 No.4,
October
23,
2024
ABSTRACT: By applying the rules for the sum of quark oscillation probabilities for the original CKM matrix and for Wolfenstein’s parameterization, equations were derived in which the CP violating phase for quarks appears as an unknown quantity. Quark oscillations occur in spaces that are on the femtometer scale and they are unmeasurable from the point of view of experiments. However, the consequence of those oscillations is the CP violating phase for quarks, which is measured through unitary triangles in Wolfenstein’s parameterization. Through the mathematical model presented in this paper, the equation in Wolfenstein’s parameterization was derived, the root of which is consistent with measurements in today’s quark physics.