Measurements of Absolute Branching Fractions of $D^0\to K_L^0\phi$, $K_L^0\eta$, $K_L^0\omega$, and $K_L^0\eta^{\prime}$

TL;DR

This paper reports the first measurements of absolute branching fractions for certain $D^0$ decays involving $K_L^0$, analyzes $e^+e^-$ collision data, and investigates $K_S^0$-$K_L^0$ asymmetry and CP violation, finding no significant CP violation.

Contribution

First measurement of absolute branching fractions for $D^0$ decays to $K_L^0$ modes using BESIII data, and analysis of asymmetries and CP violation in these decays.

Findings

Measured branching fractions for $D^0$ to $K_L^0$ modes.

Determined $K_S^0$-$K_L^0$ asymmetry $ ext{R}(D^0)$.

Found no significant CP violation.

Abstract

We report the first measurements of the absolute branching fractions of $D^0\to K_L^0\phi$, $D^0\to K_L^0\eta$, $D^0\to K_L^0\omega$, and $D^0\to K_L^0\eta^{\prime}$, obtained by analyzing $2.93\,\rm fb^{-1}$ of $e^+e^-$ collision data taken at a center-of-mass energy of 3.773 GeV with the BESIII detector. Taking the world averages of the branching fractions of $D^0\to K_S^0\phi$, $D^0\to K_S^0\eta$, $D^0\to K_S^0\omega$, and $D^0\to K_S^0\eta^{\prime}$, the $K_S^0$-$K_L^0$ asymmetry $\mathcal{R}(D^0)$ in these decay modes are obtained. The CP asymmetries in these decays are also determined. No significant $CP$ violation is observed.