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

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 $(6.06\pm0.04_{\rm stat.}\pm0.07_{\rm syst.})\%$.