Speaker
Description
The description of scalar mesons has been a persistent challenge in the field of light meson spectroscopy over the past several decades. Notably, the investigation of scalar states, such as the $a_{0}(980)$ and the $f_{0}(980)$, has been of significant interest due to the limited understanding of their properties. Amid these ongoing challenges, the study of three-body decays of charmed mesons, employing Dalitz plot analysis, has emerged as a valuable tool for probing the nature of these states.
Within this context, the doubly-Cabibbo suppressed decay $D^{+}\rightarrow K^{-}K^{+}K^{+}$ stands out as a promising channel for conducting investigations at LHCb. This decay process offers a unique opportunity to gain insights into the $K\bar{K}$ $S-$wave amplitude, a fundamental component in determining branching fractions and couplings of scalar states to their final decay products. Additionally, this amplitude holds relevance for measurements of $CP$-violation in $B_{s}$ meson decays.
The main focus of this presentation is to provide an update on the latest findings regarding the $K\bar{K}$ $S-$wave amplitude in the $D^{+}\rightarrow K^{-}K^{+}K^{+}$ decay channel. The data employed in this study were collected using the LHCb detector during the period spanning from 2016 to 2018, from proton-proton collisions. This dataset corresponds to an integrated luminosity of $5.6$ fb$^{-1}$ and was acquired at a center-of-mass energy of $13$ TeV.
