Testing New Indirect CP Violation

TL;DR

This paper derives a model-independent relation between key observables in neutral meson mixing under new CP violation physics, providing a testable framework that can reveal the underlying physics of CP violation.

Contribution

It introduces a simple approximate relation between mixing observables applicable to all neutral meson systems, enabling model-independent tests of new CP violation effects.

Findings

Relation y tan  x(|q/p|-1) holds in the K system

Predictions for B_s and D systems based on the relation

Testing these relations can reveal new CP violation physics

Abstract

If new CP violating physics contributes to neutral meson mixing, but its contribution to CP violation in decay amplitudes is negligible, then there is a model independent relation between four (generally independent) observables related to the mixing: The mass splitting (x), the width splitting (y), the CP violation in mixing (1-|q/p|), and the CP violation in the interference of decays with and without mixing (\phi). For the four neutral meson systems, this relation can be written in a simple approximate form: y tan\phi ~ x(|q/p|-1). This relation is already tested (successfully) in the neutral K system. It provides predictions for the B_s and D systems. The success or failure of these relations will probe the physics that is responsible for the CP violation.