Search for CP violation using $T$-odd correlations in $D^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$ and $D_s^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$ decays

Abstract

We search for CP violation in a sample of 20000 Cabibbo-suppressed decays, $D^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$, and 30000 Cabibbo-favored decays, $D_s^{+}\to K^{+}{K}_S^0{\pi }^{+}{\pi }^{-}$. We use 520 $f{b}^{-1}$ of data recorded by the BaBar detector at the PEP-II asymmetric-energy $e^{+}{e}^{-}$ collider operating at center of mass energies near 10.6 $GeV$. We search for CP violation in the difference between the $T$-odd asymmetries obtained using triple product correlations of the $D^{+}$ ($D_s^{+}$) and $D^{-}$ ($D_s^{-}$) decays, respectively. The $T$ violation parameter values obtained are ${\mathcal{A}}_T(D^{+})=(-12.0\pm 10.0_{stat}\pm 4.6_{syst})\times 10^{-3}$ and ${\mathcal{A}}_T(D_s^{+})=(-13.6\pm 7.7_{stat}\pm 3.4_{syst})\times 10^{-3}$, which are consistent with the standard model expectations.

8 pages, 12 encapsulated postscript figures, submitted to Physical Review D (RC)