# Amplitude Analysis and Branching Fraction Measurement of $D^0\rightarrow K^-\pi^+\pi^0\pi^0$

## TL;DR

This paper presents the first amplitude analysis and precise branching fraction measurement of the decay D^0→K^-π^+π^0π^0 using BESIII data, revealing sub-structures and intermediate process contributions.

## Contribution

It introduces the first amplitude analysis of this decay mode and provides an accurate measurement of its branching fraction, enhancing understanding of D^0 decay dynamics.

## Key findings

- Branching fraction measured as (8.86 ± 0.13(stat) ± 0.19(syst))%
- Identified sub-structures and intermediate processes in the decay
- Provided relative fractions and phases among decay components

## 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 $D^0\rightarrow K^-\pi^+\pi^0\pi^0$ 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 ${\cal B}(D^0\rightarrow K^-\pi^+\pi^0\pi^0) \,=\, (8.86 \pm 0.13(\text{stat}) \pm 0.19(\text{syst}))\%$.