Search for $CP$ violation in $D^{+}_{(s)}\rightarrow K^{+}K^{0}_{S}h^{+}h^{-}$ $(h=K,\pi)$ decays and observation of the Cabibbo-suppressed decay $D^{+}_{s}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+}$

Author:

Belle Collaboration, H. K. Moon, E. Won, I. Adachi, H. Aihara, D. M. Asner, H. Atmacan, V. Aulchenko, T. Aushev, R. Ayad, V. Babu, S. Bahinipati, Sw. Banerjee, M. Bauer, P. Behera, K. Belous, J. Bennett, M. Bessner, V. Bhardwaj, B. Bhuyan, D. Biswas, D. Bodrov, J. Borah, A. Bozek, M. Bračko, P. Branchini, T. E. Browder, A. Budano, M. Campajola, D. Červenkov, M. -C. Chang, V. Chekelian, B. G. Cheon, K. Chilikin, H. E. Cho, K. Cho, Y. Choi, S. Choudhury, D. Cinabro, J. Cochran, S. Das, N. Dash, G. De Nardo, G. De Pietro, R. Dhamija, F. Di Capua, J. Dingfelder, Z. Doležal, T. V. Dong, D. Dossett, S. Dubey, D. Epifanov, T. Ferber, D. Ferlewicz, B. G. Fulsom, R. Garg, V. Gaur, A. Giri, P. Goldenzweig, E. Graziani, T. Gu, Y. Guan, K. Gudkova, S. Halder, T. Hara, K. Hayasaka, H. Hayashii, M. T. Hedges, D. Herrmann, W. -S. Hou, C. -L. Hsu, T. Iijima, K. Inami, G. Inguglia, N. Ipsita, A. Ishikawa, R. Itoh, M. Iwasaki, W. W. Jacobs, E. -J. Jang, S. Jia, Y. Jin, K. K. Joo, A. B. Kaliyar, T. Kawasaki, C. Kiesling, C. H. Kim, D. Y. Kim, K. -H. Kim, Y. -K. Kim, K. Kinoshita, P. Kodyš, T. Konno, A. Korobov, S. Korpar, E. Kovalenko, P. Križan, P. Krokovny, T. Kuhr, M. Kumar, R. Kumar, K. Kumara, A. Kuzmin, Y. -J. Kwon, K. Lalwani, J. S. Lange, S. C. Lee, J. Li, L. K. Li, Y. Li, J. Libby, K. Lieret, Y. -R. Lin, D. Liventsev, T. Luo, Y. Ma, M. Masuda, T. Matsuda, D. Matvienko, S. K. Maurya, M. Merola, F. Metzner, K. Miyabayashi, R. Mizuk, G. B. Mohanty, I. Nakamura, M. Nakao, H. Nakazawa, A. Natochii, L. Nayak, N. K. Nisar, S. Nishida, K. Ogawa, S. Ogawa, H. Ono, P. Oskin, P. Pakhlov, G. Pakhlova, T. Pang, S. Pardi, H. Park, J. Park, S. -H. Park, A. Passeri, S. Paul, T. K. Pedlar, R. Pestotnik, L. E. Piilonen, T. Podobnik, E. Prencipe, M. T. Prim, A. Rabusov, M. Röhrken, A. Rostomyan, N. Rout, G. Russo, S. Sandilya, L. Santelj, V. Savinov, G. Schnell, C. Schwanda, A. J. Schwartz, Y. Seino, K. Senyo, M. E. Sevior, M. Shapkin, C. Sharma, C. P. Shen, J. -G. Shiu, A. Sokolov, E. Solovieva, M. Starič, M. Sumihama, T. Sumiyoshi, M. Takizawa, U. Tamponi, K. Tanida, F. Tenchini, K. Trabelsi, M. Uchida, T. Uglov, Y. Unno, K. Uno, S. Uno, P. Urquijo, S. E. Vahsen, R. van Tonder, G. Varner, K. E. Varvell, A. Vinokurova, D. Wang, M. -Z. Wang, M. Watanabe, S. Watanuki, J. Wiechczynski, B. D. Yabsley, W. Yan, S. B. Yang, J. Yelton, J. H. Yin, Y. Yook, C. Z. Yuan, L. Yuan, Y. Yusa, Y. Zhai, Z. P. Zhang, V. Zhilich, V. Zhukova

Keyword:

High Energy Physics - Experiment, High Energy Physics - Experiment (hep-ex)

journal:

Belle Preprint:2023-08, KEK Preprint:2023-4

date:

2023-05-18 16:00:00

Abstract

We search for $CP$ violation by measuring a $T$-odd asymmetry in the Cabibbo-suppressed $D^{+}\rightarrow K^{+}K^{0}_{S}\pi^{+}\pi^{-} $ decay, and in the Cabibbo-favored $D^{+}_{s}\rightarrow K^{+}K^{0}_{S}\pi^{+}\pi^{-}$ and $D^{+}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+}$ decays. We use 980 ${\rm fb}^{-1}$ of data collected by the Belle detector running at the KEKB asymmetric-energy $e^{+}e^{-}$ collider. The $C\!P$-violating $T$-odd parameter ${a}^{T\text{-}\rm{odd}}_{CP}$ is measured to be ${a}^{T\text{-}\rm{odd}}_{CP}(D^{+}\rightarrow K^{+}K^{0}_{S}\pi^{+}\pi^{-})=(0.34\pm0.87\pm0.32)\%,$ ${a}^{T\text{-}\rm{odd}}_{CP}(D^{+}_{s}\rightarrow K^{+}K^{0}_{S}\pi^{+}\pi^{-})=(-0.46\pm0.63\pm0.38)\%,$ and ${a}^{T\text{-}\rm{odd}}_{CP}(D^{+}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+})=(-3.34\pm2.66\pm0.35)\%,$ where the first uncertainty is statistical and the second is systematic. We also report the first observation of the Cabibbo-suppressed decay $D^{+}_{s}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+}$. The branching fraction is measured relative to that of the analogous Cabibbo-favored decay : $B(D^{+}_{s}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+}) / B(D^{+}_{s}\rightarrow K^{+}K^{0}_{S}\pi^{+}\pi^{-}) = (1.36\pm 0.15\pm 0.04)\%$.

PDF: Search for $CP$ violation in $D^{+}_{(s)}\rightarrow K^{+}K^{0}_{S}h^{+}h^{-}$ $(h=K,\pi)$ decays and observation of the Cabibbo-suppressed decay $D^{+}_{s}\rightarrow K^{+}K^{-}K^{0}_{S}\pi^{+}$.pdf