An upper limit on CP violation in the $B^0_s-\bar{B}^0_s$ system

TL;DR

This paper derives an upper limit on CP violation in the $B^0_s-ar{B}^0_s$ system based on physical evolution constraints, and discusses implications of recent experimental results exceeding this bound.

Contribution

It introduces a new upper bound on CP violation in the $B^0_s$ system derived from physical evolution principles, suggesting potential new quantum phenomena if exceeded.

Findings

Recent measurements exceed the bound by one standard deviation.

Exceeding the bound implies possible new quantum oscillation phenomena.

Provides a theoretical framework linking CP violation limits to quantum evolution constraints.

Abstract

In a previous publication we noted that the time dependence of an incoherent $B^0-\bar{B}^0$ mixture undergoes a qualitative change when the magnitude of CP violation $\delta$ exceeds a critical value. Requiring, on physical grounds, that the system evolve from an initial incoherent state to a final pure state in a monotonic way, yields a new upper limit for $\delta$. The recent measurement of the wrong charge semileptonic asymmetry of $B_s^0$ mesons presented by the D0 collaboration is outside this bound by one standard deviation. If this result is confirmed it implies the existence of a new quantum mechanical oscillation phenomenon.