Model-independent measurement of the CKM angle $γ$ using $B^0 \to D K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0} K^{+} K^{-}$
A binned Dalitz plot analysis of the decays $B^0 \to D K^{\ast 0}$, with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ and $K_{S}^{0} K^{+} K^{-}$, is performed to measure the observables $x_\pm$ and $y_\pm$, which are related to the CKM angle $\gamma$ and the hadronic parameters of the decays. The $D$ decay st...
| Main Authors: | , , , , , , , , , , , , |
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| Format: | Journal article |
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Springer
2016
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| _version_ | 1826286710246342656 |
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| author | LHCb Collaboration Cheung, S Evans, T Gandini, P Hadavizadeh, T Harnew, N John, M Lupton, O Nandi, A Qian, W Malde, S Topp-Joergensen, S Wilkinson, G |
| author_facet | LHCb Collaboration Cheung, S Evans, T Gandini, P Hadavizadeh, T Harnew, N John, M Lupton, O Nandi, A Qian, W Malde, S Topp-Joergensen, S Wilkinson, G |
| author_sort | LHCb Collaboration |
| collection | OXFORD |
| description | A binned Dalitz plot analysis of the decays $B^0 \to D K^{\ast 0}$, with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ and $K_{S}^{0} K^{+} K^{-}$, is performed to measure the observables $x_\pm$ and $y_\pm$, which are related to the CKM angle $\gamma$ and the hadronic parameters of the decays. The $D$ decay strong phase variation over the Dalitz plot is taken from measurements performed at the CLEO-c experiment, making the analysis independent of the $D$ decay model. With a sample of proton-proton collision data, corresponding to an integrated luminosity of $3.0\,\rm{fb}^{-1}$, collected by the LHCb experiment, the values of the $CP$ violation parameters are found to be $x_+ = 0.05 \pm 0.35 \pm 0.02$, $x_-=-0.31\pm 0.20 \pm 0.04$, $y_+=-0.81\pm 0.28\pm 0.06$ and $y_-=0.31\pm 0.21 \pm 0.05$, where the first uncertainties are statistical and the second systematic. These observables correspond to values $\gamma$ = $(71 \pm 20)^\circ$, $r_{B^0} = 0.56\pm 0.17$ and $\delta_{B^0} = (204\,^{+21}_{-20})^\circ$. The parameters $r_{B^0}$ and $\delta_{B^0}$ are the magnitude ratio and strong phase difference between the suppressed and favoured $B^0$ decay amplitudes, and have been measured in a region of $\pm 50$ MeV/$c^2$ around the $K^{\ast}(892)^{0}$ mass and with the magnitude of the cosine of the $K^{\ast}(892)^{0}$ helicity angle larger than 0.4. |
| first_indexed | 2024-03-07T01:47:46Z |
| format | Journal article |
| id | oxford-uuid:9902081d-4b3b-4f2a-b5ce-98d90cf403dd |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:47:46Z |
| publishDate | 2016 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:9902081d-4b3b-4f2a-b5ce-98d90cf403dd2022-03-27T00:11:15ZModel-independent measurement of the CKM angle $γ$ using $B^0 \to D K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0} K^{+} K^{-}$Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9902081d-4b3b-4f2a-b5ce-98d90cf403ddSymplectic Elements at OxfordSpringer2016LHCb CollaborationCheung, SEvans, TGandini, PHadavizadeh, THarnew, NJohn, MLupton, ONandi, AQian, WMalde, STopp-Joergensen, SWilkinson, GA binned Dalitz plot analysis of the decays $B^0 \to D K^{\ast 0}$, with $D \to K_{S}^{0} \pi^{+} \pi^{-}$ and $K_{S}^{0} K^{+} K^{-}$, is performed to measure the observables $x_\pm$ and $y_\pm$, which are related to the CKM angle $\gamma$ and the hadronic parameters of the decays. The $D$ decay strong phase variation over the Dalitz plot is taken from measurements performed at the CLEO-c experiment, making the analysis independent of the $D$ decay model. With a sample of proton-proton collision data, corresponding to an integrated luminosity of $3.0\,\rm{fb}^{-1}$, collected by the LHCb experiment, the values of the $CP$ violation parameters are found to be $x_+ = 0.05 \pm 0.35 \pm 0.02$, $x_-=-0.31\pm 0.20 \pm 0.04$, $y_+=-0.81\pm 0.28\pm 0.06$ and $y_-=0.31\pm 0.21 \pm 0.05$, where the first uncertainties are statistical and the second systematic. These observables correspond to values $\gamma$ = $(71 \pm 20)^\circ$, $r_{B^0} = 0.56\pm 0.17$ and $\delta_{B^0} = (204\,^{+21}_{-20})^\circ$. The parameters $r_{B^0}$ and $\delta_{B^0}$ are the magnitude ratio and strong phase difference between the suppressed and favoured $B^0$ decay amplitudes, and have been measured in a region of $\pm 50$ MeV/$c^2$ around the $K^{\ast}(892)^{0}$ mass and with the magnitude of the cosine of the $K^{\ast}(892)^{0}$ helicity angle larger than 0.4. |
| spellingShingle | LHCb Collaboration Cheung, S Evans, T Gandini, P Hadavizadeh, T Harnew, N John, M Lupton, O Nandi, A Qian, W Malde, S Topp-Joergensen, S Wilkinson, G Model-independent measurement of the CKM angle $γ$ using $B^0 \to D K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0} K^{+} K^{-}$ |
| title | Model-independent measurement of the CKM angle $γ$ using $B^0 \to D
K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0}
K^{+} K^{-}$ |
| title_full | Model-independent measurement of the CKM angle $γ$ using $B^0 \to D
K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0}
K^{+} K^{-}$ |
| title_fullStr | Model-independent measurement of the CKM angle $γ$ using $B^0 \to D
K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0}
K^{+} K^{-}$ |
| title_full_unstemmed | Model-independent measurement of the CKM angle $γ$ using $B^0 \to D
K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0}
K^{+} K^{-}$ |
| title_short | Model-independent measurement of the CKM angle $γ$ using $B^0 \to D
K^{\ast 0}$ decays with $D \to K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0}
K^{+} K^{-}$ |
| title_sort | model independent measurement of the ckm angle γ using b 0 to d k ast 0 decays with d to k s 0 π π and k s 0 k k |
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