Mixing and CP-Violation Measurements of $B^0$ Mesons from the Tevatron Collider

TL;DR

This paper reports on measurements of $B^0$ meson mixing and CP-violation parameters from Tevatron data, providing insights into CKM matrix elements and confirming the Standard Model predictions.

Contribution

It presents new experimental measurements of $B^0$ mixing parameters and CP-violation, including direct measurement of $eta$, from Tevatron Run I data.

Findings

Measured $ar{ ext{χ}}$ and $ riangle m_d$ with improved precision.

Provided the first direct measurement of $eta$ from Tevatron data.

Constraints on CKM matrix elements consistent with Standard Model.

Abstract

$B^0$ mixing measurements from the Tevatron Run I data are reported. These include time-integrated measurements of the average mixing parameter $\bar{\chi}$, six time-dependent oscillation measurements of $\Delta m_d$, and a time-dependent limit on $\Delta m_s$. Such measurements provide constraints on CKM matrix elements. A sample of $B^0/\bar{B}{^0} \to J/\psi K^0_S$ decays is used to directly measure the CP-violation parameter $\sin(2\beta)$. This value agrees well with indirect constraints on the CKM matrix.