Amplitude Analysis and Branching Fraction Measurement of $D^0\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$

Abstract

Utilizing the dataset corresponding to an integrated luminosity of $2.93$ fb${}^{-1}$ at $\sqrt{s}=3.773$ GeV collected by the BESIII detector, we report the first amplitude analysis and branching fraction measurement of the $D^0\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$ decay. We investigate the sub-structures and determine the relative fractions and the phases among the different intermediate processes. Our results are used to provide an accurate detection efficiency and allow measurement of $\mathcal{B}(D^0\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0)=(8.86\pm 0.13(\text{stat})\pm 0.19(\text{syst}))\%$.