New Time Distributions of D^0-\bar{D}^0 or B^0-\bar{B}^0 Mixing and CP Violation

TL;DR

This paper derives new formulae for meson mixing and CP violation measurements at particle factories, enabling novel ways to determine mixing rates and CP asymmetries from decay-time distributions of single mesons.

Contribution

It introduces new theoretical formulae for analyzing D and B meson mixing and CP violation using decay-time data, including methods applicable at specific resonances.

Findings

New method to determine D^0-ar{D}^0 mixing rate at 4.14 resonance.

Ability to measure CP asymmetries at 4S resonance without decay time ordering.

Derived formulae applicable to single meson decay-time distributions.

Abstract

The formulae for D^0-\bar{D}^0 or B^0-\bar{B}^0 mixing and CP violation at the \tau-charm or B-meson factories are derived, for the case that only the decay-time distribution of one D or B meson is to be measured. In particular, we point out a new possibility to determine the D^0-\bar{D}^0 mixing rate in semileptonic D decays at the \Psi (4.14) resonance; and show that both direct and indirect CP asymmetries can be measured at the \Upsilon (4S) resonance without ordering the decay times of two B_d mesons or measuring their difference.