Absolute Measurements of Branching Fractions of Cabibbo-Suppressed Hadronic $D^{0(+)}$ Decays Involving Multiple Pions

TL;DR

This paper reports the first absolute measurements of branching fractions for twenty Cabibbo-suppressed hadronic D meson decays involving multiple pions, using data from the BESIII detector at 3.773 GeV.

Contribution

It provides the first absolute measurements of these specific D meson decay branching fractions, improving understanding of charm quark decay dynamics.

Findings

Measured branching fractions for twenty decay modes.

Identified the four largest branching fractions among them.

Determined CP asymmetries for six high-yield decays.

Abstract

By analyzing $e^+e^-$ annihilation data with an integrated luminosity of $2.93~\rm fb^{-1}$ collected at the center-of-mass energy $\sqrt s=$ 3.773 GeV with the BESIII detector, we present the first absolute measurements of the branching fractions of twenty Cabibbo-suppressed hadronic $D^{0(+)}$ decays involving multiple pions. The largest four branching fractions obtained are $\mathcal{B}(D^0\to\pi^+\pi^-\pi^0)= (1.343\pm0.013_{\rm stat}\pm0.016_{\rm syst})\%$, $\mathcal{B}(D^0\to\pi^+\pi^-2\pi^0)= (0.998\pm0.019_{\rm stat}\pm0.024_{\rm syst})\%$, $\mathcal{B}(D^+\to 2\pi^+\pi^-\pi^0)= (1.174\pm0.021_{\rm stat}\pm0.021_{\rm syst})\%$, and $\mathcal{B}(D^+\to 2\pi^+\pi^-2\pi^0)=(1.074\pm0.040_{\rm stat}\pm0.030_{\rm syst})\%$. The $CP$ asymmetries for the six decays with highest event yields are also determined.