Measurement of $A_{CP}$ in $\Xi_c^+\to\Sigma^+ h^+ h^-$ and $\Lambda_c^+\to p h^+ h^-$ decays at Belle II
Abstract
We report decay-rate CP asymmetries of the singly-Cabibbo-suppressed decays $\Xi_c^+\to\Sigma^+ h^+ h^-$ and $\Lambda_c^+\to p h^+ h^-$, with $h=K,\pi$, measured using 428 fb$^{-1}$ of $e^+e^-$ collisions collected by the Belle II experiment at the SuperKEKB collider. The results,
\begin{alignat*}{1}
Acp(\Xi_c^+\to\Sigma^+ K^+ K^-) &= (3.7\pm6.6\pm0.6)\%, \\
Acp(\Xi_c^+\to\Sigma^+ \pi^+ \pi^-) &= (9.5\pm6.8\pm0.5)\%, \\
Acp(\Lambda_c^+\to p K^+ K^-) &= (3.9\pm1.7\pm0.7)\%, \\
Acp(\Lambda_c^+\to p \pi^+ \pi^-) &= (0.3\pm1.0\pm0.2)\%,
\end{alignat*}
where the first uncertainties are statistical and the second systematic, agree with \CP symmetry. From these results we derive the sums
\begin{alignat}{3}
&Acp(\Xi_c^+\to\Sigma^+ \pi^+ \pi^-) &&\, + \, Acp(\Lambda_c^+\to p K^+ K^-) &&= (13.4 \pm 7.0\pm 0.9)\%,\\
&Acp(\Xi_c^+\to\Sigma^+ K^+ K^-) &&\, + \, Acp(\Lambda_c^+\to p \pi^+ \pi^-) &&= (\phantom{0}4.0 \pm 6.6\pm 0.7)\%,
\end{alignat}
which are consistent with the $U$-spin symmetry prediction of zero. These are the first measurements of CP asymmetries for individual hadronic three-body charmed-baryon decays.