# $SU\left(3{\right)}_{F}$ breaking through final state interactions and $CP$ asymmetries in $D\to PP$ decays

Buccella, Franco (INFN, Sezione di Napoli, via Cintia, 80126 Napoli, Italy) ; Paul, Ayan (DESY, Notkestrasse 85, D-22607 Hamburg, Germany and Institut für Physik, Humboldt-Universität zu Berlin, D-12489 Berlin, Germany) ; Santorelli, Pietro (Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126 Napoli, Italy and INFN, Sezione di Napoli, via Cintia, 80126 Napoli, Italy)

11 June 2019

Abstract: We analyze $D$ decays to two pseudoscalars $\left(\pi ,K\right)$ assuming the dominant source of $\mathrm{SU}\left(3{\right)}_{F}$ breaking lies in final state interactions. We obtain an excellent agreement with experimental data and are able to predict $CP$ violation in several channels based on current data on branching ratios and ${\Delta A}_{CP}$. We also make predictions for ${\delta }_{K\pi }$ and the branching fraction for the decay ${D}_{s}^{+}\to {K}^{+}{K}_{L}$.

Published in: Physical Review D 99 (2019)