Speaker
Description
We present a search for $CP$ violation in the Cabibbo-suppressed $D^0\to \pi^+ \pi^- \pi^0 $ mode with more than 1.6M signal candidates, allowing for the most precise amplitude modelling of this decay to date. The measurement uses data sample of $pp$ collisions collected by the LHCb experiment from 2016 to 2018, corresponding to an integrated luminosity of 5.4 $fb^{-1}$. The $D^0$ mesons are reconstructed from $D^{*+} \to D^0\pi^+$ decays allowing the flavour at production to be inferred from the charge of the spectator pion. The obtained amplitude model is used to perform the search for $CP$ violation. The CP violating variables can be extracted from the magnitudes and phases of the amplitude model. With respect to the dominant $\rho (770)$ resonances, we reach a statistical sensitivity of 0.1\% for our blinded result.