On the Geometry Origin of Weak CP Phase

TL;DR

This paper explores the hypothesis that the weak CP phase in particle physics originates from geometric principles, deriving constraints and predictions that align well with current experimental data.

Contribution

It introduces a geometric origin hypothesis for the weak CP phase and provides strict constraints and predictions consistent with existing measurements.

Findings

Predicted range for |V_{td}|: 0.0076 to 0.0093

Predicted CP phase γ: 74.9° to 75.7°

Predictions agree with current experimental results

Abstract

In this work, the postulation that weak CP phase originates in a certain geometry, is further discussed. Some intrinsic and strict constraints on the mixing angles, weak CP phase, and the Wolfenstein's parameters $\rho$ and $\eta$ are given by present data and the postulation itself. Especially, we predict $0.0076 \leq |V_{td}| \leq 0.0093, 74.9^o \leq \gamma \leq 75.7^o$ when the corresponding inputs are at the $90% C. L.$. The comparison of the predictions to the relevant experimental and theoretical results is listed. All the predictions coincide with the present experimental results and theoretical analysis very well.