Utilizing the dataset corresponding to an integrated luminosity of $2.93{\mathrm{fb}}^{-1}$ at $\sqrt{s}=3.773\mathrm{GeV}$ collected by the BESIII detector, we report the first amplitude analysis and branching fraction measurement of the $D^0\to K^{-}{\pi }^{+}{\pi }^0{\pi }^0$ decay. We investigate the substructures 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 $\mathcal{B}(D^0\to K^{-}{\pi }^{+}{\pi }^0{\pi }^0)=(8.86\pm 0.13(\text{stat})\pm 0.19(\text{syst}))\%$.

• Received 18 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.092008

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society