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Search for $C P$ violation in $D_{(s)}^{+} \to K^{+} K_{S}^{0} h^{+} h^{-}$ ( $h = K$ , $π$ ) decays and observation of the Cabibbo-suppressed decay $D_{s}^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}$

H. K. Moon , E. Won , I. Adachi , H. Aihara , D. M. Asner , H. Atmacan , V. Aulchenko , T. Aushev , R. Ayad et al. (Belle Collaboration)

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 , and V. Zhukova (Belle Collaboration)

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Phys. Rev. D 108, L111102 – Published 21 December, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L111102

Abstract

We search for $C P$ violation by measuring a $T$ -odd asymmetry in the Cabibbo-suppressed $D^{+} \to K^{+} K_{S}^{0} π^{+} π^{-}$ decay, and in the Cabibbo-favored $D_{s}^{+} \to K^{+} K_{S}^{0} π^{+} π^{-}$ and $D^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}$ decays. We use $980 {fb}^{- 1}$ of data collected by the Belle detector running at the KEKB asymmetric-energy $e^{+} e^{-}$ collider. The $C P$ -violating $T$ -odd parameter $a_{C P}^{T − odd}$ is measured to be $a_{C P}^{T − odd} (D^{+} \to K^{+} K_{S}^{0} π^{+} π^{-}) = (0.34 \pm 0.87 \pm 0.32) %$ , $a_{C P}^{T − odd} (D_{s}^{+} \to K^{+} K_{S}^{0} π^{+} π^{-}) = (- 0.46 \pm 0.63 \pm 0.38) %$ , and $a_{C P}^{T − odd} (D^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}) = (- 3.34 \pm 2.66 \pm 0.35) %$ , where the first uncertainty is statistical and the second is systematic. We also report the first observation of the Cabibbo-suppressed decay $D_{s}^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}$ . The branching fraction is measured relative to that of the analogous Cabibbo-favored decay: $B (D_{s}^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}) / B (D_{s}^{+} \to K^{+} K_{S}^{0} π^{+} π^{-}) = (1.36 \pm 0.15 \pm 0.04) %$ .

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Phys. Rev. D 108, L111102– Published 21 December, 2023

Vol. 108, Iss. 11 — 1 December 2023

Received 18 May 2023
Accepted 21 November 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L111102

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Search for $C P$ violation in $D_{(s)}^{+} \to K^{+} K_{S}^{0} h^{+} h^{-}$ ( $h = K$ , $π$ ) decays and observation of the Cabibbo-suppressed decay $D_{s}^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}$

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Search for CP violation in D(s)+→K+KS0h+h− (h=K, π) decays and observation of the Cabibbo-suppressed decay Ds+→K+K−KS0π+

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Search for $C P$ violation in $D_{(s)}^{+} \to K^{+} K_{S}^{0} h^{+} h^{-}$ ( $h = K$ , $π$ ) decays and observation of the Cabibbo-suppressed decay $D_{s}^{+} \to K^{+} K^{-} K_{S}^{0} π^{+}$