Distribution of $\Delta\Delta t_{\rm TOF}$ obtained by considering the track under study in the momentum range $ 1.4 < p < 1.5$ GeV/$c$. In this momentum range, the peaks corresponding to pions and kaons can be clearly distinguished. The red curve represents the Double EMG fit used to extract the $\Delta\Delta t_{\rm TOF}$ time resolution. The fit is done over the full range, and the results obtained for different ranges are taken into account in the error.