Amplitude analysis and branching fraction measurement of the Cabibbo-favored decay $D^+ \to K^-\pi^+\pi^+\pi^0$

TL;DR

This paper presents an amplitude analysis of the decay $D^+ o K^- ho^+ar{K}^*$, measuring its branching fraction and intermediate process contributions using data from the BESIII detector.

Contribution

The study provides the first detailed amplitude analysis and precise measurement of the branching fraction for this specific decay mode.

Findings

Dominant contribution from $D^+ o ar{K}^{*}(892)^0 ho(770)^+$ with a branching fraction of 4.15%.

Absolute branching fraction of $D^+ o K^- ho^+ar{K}^*$ measured as 6.06%.

Comprehensive amplitude analysis of the decay process.

Abstract

An amplitude analysis of the Cabibbo-favored decay $D^+ \to K^-\pi^+\pi^+\pi^0$ is performed, using 7.93 $\rm{fb}^{-1}$ of $e^+e^-$ collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV. The branching fractions of the intermediate processes are measured, with the dominant contribution $D^+ \to \bar{K}^{*}(892)^0\rho(770)^+$ observed to have a branching fraction of $(4.15\pm0.07_{\rm stat.}\pm0.17_{\rm syst.})\%$. With the detection efficiency derived from the amplitude analysis, the absolute branching fraction of $D^+ \to K^-\pi^+\pi^+\pi^0$ is measured to be $(6.06\pm0.04_{\rm stat.}\pm0.07_{\rm syst.})\%$.