Measurement of the branching fraction and search for CP violation in $D^0\to K_S^0{K}_S^0{\pi }^{+}{\pi }^{-}$ decays at Belle

Abstract

We measure the branching fraction for the Cabibbo-suppressed decay $D^0\to K_S^0{K}_S^0{\pi }^{+}{\pi }^{-}$ and search for $CP$ violation via a measurement of the $CP$ asymmetry $A_{\mathrm{CP}}$ as well as the $T$-odd triple-product asymmetry $a_{\mathrm{CP}}^T$. We use 922 fb${}^{-1}$ of data recorded by the Belle experiment, which ran at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. The branching fraction is measured relative to the Cabibbo-favored normalization channel $D^0\to K_S^0{\pi }^{+}{\pi }^{-}$; the result is $\mathcal{B}(D^0\to K_S^0{K}_S^0{\pi }^{+}{\pi }^{-})=[4.79\pm 0.08(\mathrm{stat})\pm 0.10(\mathrm{syst})\pm 0.31(\mathrm{norm})]\times 10^{-4}$, where the first uncertainty is statistical, the second is systematic, and the third is from uncertainty in the normalization channel. We also measure $A_{\mathrm{CP}}=[-2.51\pm 1.44(\mathrm{stat}){}_{-0.10}^{+0.11}(\mathrm{syst})]\%$, and $a_{\mathrm{CP}}^T=[-1.95\pm 1.42(\mathrm{stat}){}_{-0.12}^{+0.14}(\mathrm{syst})]\%$. These results show no evidence of CP violation.

arXiv comment10 pages, 4 figures, 3 tables, as published in Phys. Rev. D. arXiv admin note: substantial text overlap with arXiv:2208.03124.

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Cited by in corpus (1)

• Search for $CP$ violation in $D_{(s)}^{+}\to K^{+}{K}_S^0{h}^{+}{h}^{-}$ $(h=K,\pi )$ decays and observation of the Cabibbo-suppressed decay $D_s^{+}\to K^{+}{K}^{-}{K}_S^0{\pi }^{+}$