Re-examining sin(2beta) and Delta m(d) from evolution of B(d) mesons with decoherence

TL;DR

This paper investigates how environmental decoherence affects the measurement of key parameters in B(d) meson systems, proposing a re-analysis of experimental data to account for decoherence effects.

Contribution

It introduces a formalism modeling decoherence with a single parameter and re-examines the determination of sin(2beta) and Delta m(d) considering decoherence effects.

Findings

Decoherence modulates the measured values of sin(2beta) and Delta m(d).

Re-analysis can yield a more accurate determination of decoherence parameter lambda.

Environmental interactions can significantly impact meson parameter measurements.

Abstract

In the time evolution of neutral meson systems, a perfect quantum coherence is usually assumed. The important quantities of the B(d) system, such as sin (2beta) and Delta m(d), are determined under this assumption. However, the meson system interacts with its environment. This interaction can lead to decoherence in the mesons even before they decay. In our formalism this decoherence is modelled by a single parameter lambda. It is desirable to re-examine the procedures of determination of sin(2beta) and Delta m(d) in meson systems with decoherence. We find that the present values of these two quantities are modulated by lambda. Re-analysis of B(d) data from B-factories and LHCb can lead to a clean determination of lambda, sin(2beta) and Delta m(d).