Search for $C\!P$ violation using $T$-odd correlations in $D_{(s)}^{+}\to K^{+} K^{-}\pi^{+}\pi^{0}$, $D_{(s)}^{+}\to K^{+} \pi^{-}\pi^{+}\pi^{0}$, and $D^{+}\to K^{-}\pi^{+}\pi^{+}\pi^{0}$ decays

Author:

Belle Collaboration, L. K. Li, A. J. Schwartz, E. Won, K. Kinoshita, I. Adachi, H. Aihara, S. Al Said, D. M. Asner, V. Aulchenko, T. Aushev, V. Babu, Sw. Banerjee, P. Behera, K. Belous, J. Bennett, M. Bessner, T. Bilka, D. Biswas, A. Bobrov, D. Bodrov, G. Bonvicini, J. Borah, M. Bračko, P. Branchini, A. Budano, D. Červenkov, M. -C. Chang, B. G. Cheon, H. E. Cho, K. Cho, S. -K. Choi, Y. Choi, S. Choudhury, D. Cinabro, J. Cochran, S. Das, G. De Nardo, G. De Pietro, R. Dhamija, F. Di Capua, J. Dingfelder, Z. Doležal, T. V. Dong, S. Dubey, D. Epifanov, A. Frey, B. G. Fulsom, V. Gaur, A. Giri, P. Goldenzweig, G. Gong, E. Graziani, D. Greenwald, T. Gu, Y. Guan, K. Gudkova, C. Hadjivasiliou, T. Hara, K. Hayasaka, H. Hayashii, D. Herrmann, W. -S. Hou, C. -L. Hsu, N. Ipsita, A. Ishikawa, R. Itoh, M. Iwasaki, W. W. Jacobs, E. -J. Jang, Q. P. Ji, S. Jia, Y. Jin, K. K. Joo, J. Kahn, A. B. Kaliyar, C. Kiesling, C. H. Kim, D. Y. Kim, K. -H. Kim, Y. J. Kim, Y. -K. Kim, H. Kindo, P. Kodyš, A. Korobov, S. Korpar, E. Kovalenko, P. Križan, P. Krokovny, M. Kumar, R. Kumar, K. Kumara, Y. -J. Kwon, Y. T. Lai, T. Lam, S. C. Lee, Y. Li, J. Libby, K. Lieret, Y. -R. Lin, D. Liventsev, Y. Ma, M. Masuda, T. Matsuda, D. Matvienko, S. K. Maurya, F. Meier, M. Merola, F. Metzner, R. Mizuk, G. B. Mohanty, M. Nakao, D. Narwal, Z. Natkaniec, A. Natochii, L. Nayak, N. K. Nisar, S. Nishida, S. Ogawa, H. Ono, P. Oskin, G. Pakhlova, S. Pardi, H. Park, J. Park, S. -H. Park, A. Passeri, S. Patra, S. Paul, R. Pestotnik, L. E. Piilonen, T. Podobnik, E. Prencipe, M. T. Prim, G. Russo, S. Sandilya, A. Sangal, L. Santelj, V. Savinov, G. Schnell, C. Schwanda, Y. Seino, M. E. Sevior, W. Shan, M. Shapkin, C. Sharma, J. -G. Shiu, B. Shwartz, E. Solovieva, M. Starič, Z. S. Stottler, M. Sumihama, M. Takizawa, K. Tanida, F. Tenchini, M. Uchida, T. Uglov, Y. Unno, K. Uno, S. Uno, G. Varner, K. E. Varvell, A. Vinokurova, D. Wang, E. Wang, X. L. Wang, S. Watanuki, O. Werbycka, X. Xu, B. D. Yabsley, W. Yan, S. B. Yang, J. H. Yin, Y. Yook, Z. P. Zhang, V. Zhilich, V. Zhukova

Keyword:

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

journal:

Belle Preprint 2023-07, KEK Preprint 2023-3, UCHEP-23-02

date:

2023-05-21 16:00:00

Abstract

We search for $C\!P$ violation using $T$-odd correlations in five $D_{(s)}^{+}$ and $D_{(s)}^{-}$ four-body decays. Our analysis is based on 980 $\rm fb^{-1}$ of data collected by the Belle detector at the KEKB energy-asymmetric $e^+e^-$ collider. Our results for the $T$-odd $C\!P$-violating parameter $a^{T\text{-odd}}_{C\!P}$ are: $a^{T\text{-odd}}_{C\!P}({D^{+}\to K^{-}K^{+}\pi^{+}\pi^{0}}) = (+2.6\pm 6.6\pm 1.3 )\times10^{-3}$, $a^{T\text{-odd}}_{C\!P}({D^{+}\to K^{+}\pi^{-}\pi^{+}\pi^{0}}) = (-1.3\pm 4.2\pm 0.1 )\times10^{-2}$, $a^{T\text{-odd}}_{C\!P}({D^{+}\to K^{-}\pi^{+}\pi^{+}\pi^{0}}) = (+0.2\pm 1.5\pm 0.8 )\times10^{-3}$, $a^{T\text{-odd}}_{C\!P}({D_s^{+}\to K^{+}\pi^{-}\pi^{+}\pi^{0}}) = (-1.1\pm 2.2\pm 0.1 )\times10^{-2}$, and $a^{T\text{-odd}}_{C\!P}({D_s^{+}\to K^{-}K^{+}\pi^{+}\pi^{0}}) = (+2.2\pm 3.3\pm 4.3 )\times10^{-3}$, where the uncertainties are statistical and systematic, respectively. These results are the first such measurements and are all consistent with zero. They include the first measurement for a $D^+_s$ singly Cabibbo-suppressed decay, and the first measurement for a $D$ meson doubly Cabibbo-suppressed decay. We also measure $a^{T\text{-odd}}_{C\!P}$ in different subregions of phase space, where the decays are dominated by different intermediate resonance states such as $D^+\to\phi\rho^+$, $\bar{K}^{*0}K^{*+}$, and $\bar{K}^{*0}\rho^+$; and $D_s^+\to K^{*+}\rho^{0}$, $K^{*0}\rho^{+}$, $\phi\rho^+$, and $\bar{K}^{*0}K^{*+}$. No evidence for $C\!P$ violation is found.

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