### Abstract

A binned Dalitz plot analysis of B^{±} → DK^{±} decays, with D → K_{S} ^{0}π^{+}π^{−} and D → K_{S} ^{0}K^{+}K^{−}, is used to perform a measurement of the CP-violating observables x_{±} and y_{±}, which are sensitive to the Cabibbo-Kobayashi-Maskawa angle γ. The analysis is performed without assuming any D decay model, through the use of information on the strong-phase variation over the Dalitz plot from the CLEO collaboration. Using a sample of proton-proton collision data collected with the LHCb experiment in 2015 and 2016, and corresponding to an integrated luminosity of 2.0 fb^{−1}, the values of the CP violation parameters are found to be x_{−} = (9.0 ± 1.7 ± 0.7 ± 0.4) × 10^{−2}, y_{−} = (2.1 ± 2.2 ± 0.5 ± 1.1) × 10^{−2}, x_{+} = (−7.7 ± 1.9 ± 0.7 ± 0.4) × 10^{−2}, and y_{+} = (−1.0 ± 1.9 ± 0.4 ± 0.9) × 10^{−2}. The first uncertainty is statistical, the second is systematic, and the third is due to the uncertainty (on the strong-phase measurements. These values are used to obtain γ = (87_{− 12} ^{+ 11})^{∘}, r_{B} = 0.086_{− 0.014} ^{+ 0.013}, and δ_{B} = (101±11)°, where r_{B} is the ratio between the suppressed and favoured B-decay amplitudes and δ_{B} is the corresponding strong-interaction phase difference. This measurement is combined with the result obtained using 2011 and 2012 data collected with the LHCb experiment, to give γ = (80_{− 9} ^{+ 10})^{∘}, r_{B} = 0.080 ± 0.011, and δ_{B} = (110 ± 10)°.[Figure not available: see fulltext.]

Original language | English (US) |
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Article number | 176 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 8 |

DOIs | |

State | Published - Aug 1 2018 |

### Keywords

- B physics
- CKM angle gamma
- CP violation
- Flavor physics
- Hadron-Hadron scattering (experiments)

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Measurement of the CKM angle γ using B <sup>±</sup> → DK <sup>±</sup> with D → K <sub>S</sub> <sup>0</sup> π <sup>+</sup> π <sup>−</sup>, K <sub>S</sub> <sup>0</sup> K <sup>+</sup> K <sup>−</sup> decays'. Together they form a unique fingerprint.

## Cite this

^{±}→ DK

^{±}with D → K

_{S}

^{0}π

^{+}π

^{−}, K

_{S}

^{0}K

^{+}K

^{−}decays.

*Journal of High Energy Physics*,

*2018*(8), [176]. https://doi.org/10.1007/JHEP08(2018)176