A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb

<p>This thesis presents a measurement of the charm mixing parameters <em>x<sub>D</sub></em> and <em>y<sub>D</sub></em> in prompt <em>D</em><sup>0</sup>→ <em>K </em><sup>0</sup><sub style="po...

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Main Authors: Torr, N, Nicholas Torr
Other Authors: Charles, M
Format: Thesis
Language:English
Published: 2014
Subjects:
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author Torr, N
Nicholas Torr
author2 Charles, M
author_facet Charles, M
Torr, N
Nicholas Torr
author_sort Torr, N
collection OXFORD
description <p>This thesis presents a measurement of the charm mixing parameters <em>x<sub>D</sub></em> and <em>y<sub>D</sub></em> in prompt <em>D</em><sup>0</sup>→ <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> decays using 1 fb<sup>-1</sup> of data collected by the LHCb experiment during 2011.</p> <p>Mixing in charm is predicted to be small within the Standard Model, but there are significant uncertainties associated with calculating the long range contributions to the decay. Recent measurements made by LHCb and others have confirmed that mixing in charm exists at a rate of less than 1 %. With LHCb due to collect more data and Belle II being commissioned, the reduction of systematic uncertainties will become increasingly important.</p> <p>The <em>D</em><sup>0</sup>→ <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> decay provides sensitivity to both the magnitude and relative sign between the mixing parameters. It is also one of the few channels that can measure <em>x<sub>D</sub></em> directly. It is therefore crucial to study this mode in detail as more data becomes available. The work presented in this thesis utilises a model-independent description of the <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> Dalitz plot decay for the first time in the context of charm mixing. Previous mixing measurements with this final state have used a Dalitz plot amplitude model, and the associated systematic uncertainty is not straight forward to estimate or control. In its place, this analysis uses external, statistically-limited measurements of the strong-phase difference between <em>D</em><sup>0</sup> and ¯<em style="position: relative; left: -.6em;"><sub>D</sub></em><sup>0</sup> obtained by CLEO as input. In addition, a data-driven technique is used to correct for decay time biases induced by the selection removing any systematic effects due to extracting this from simulated data. As the amount of available data increases, both of these techniques will become vital to improving our understanding of mixing in charm.</p> <p>In the CP convention used by Babar and adopted for this thesis, the measured mixing parameters are</p> <p>x<sub><em>D</em></sub></p> = -(0.863 ± 0.527 (stat.) ± 0.171 (syst.)) %, <p>y<sub><em>D</em></sub></p> = -(0.026 ± 0.463 (stat.) ± 0.134 (syst.)) %. <p>Both x<sub><em>D</em></sub></p> and y<sub><em>D</em></sub> are consistent with the current world averages.
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spelling oxford-uuid:e1150f1b-d8b7-4ea7-a24f-f892153bc4ea2022-03-27T09:51:48ZA model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCbThesishttp://purl.org/coar/resource_type/c_db06uuid:e1150f1b-d8b7-4ea7-a24f-f892153bc4eaParticle physicsEnglishOxford University Research Archive - Valet2014Torr, NNicholas TorrCharles, MHarnew, N<p>This thesis presents a measurement of the charm mixing parameters <em>x<sub>D</sub></em> and <em>y<sub>D</sub></em> in prompt <em>D</em><sup>0</sup>→ <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> decays using 1 fb<sup>-1</sup> of data collected by the LHCb experiment during 2011.</p> <p>Mixing in charm is predicted to be small within the Standard Model, but there are significant uncertainties associated with calculating the long range contributions to the decay. Recent measurements made by LHCb and others have confirmed that mixing in charm exists at a rate of less than 1 %. With LHCb due to collect more data and Belle II being commissioned, the reduction of systematic uncertainties will become increasingly important.</p> <p>The <em>D</em><sup>0</sup>→ <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> decay provides sensitivity to both the magnitude and relative sign between the mixing parameters. It is also one of the few channels that can measure <em>x<sub>D</sub></em> directly. It is therefore crucial to study this mode in detail as more data becomes available. The work presented in this thesis utilises a model-independent description of the <em>K </em><sup>0</sup><sub style="position: relative; left: -.6em;"><em>S</em></sub> π<sup>&amp;plus;</sup> π<sup>−</sup> Dalitz plot decay for the first time in the context of charm mixing. Previous mixing measurements with this final state have used a Dalitz plot amplitude model, and the associated systematic uncertainty is not straight forward to estimate or control. In its place, this analysis uses external, statistically-limited measurements of the strong-phase difference between <em>D</em><sup>0</sup> and ¯<em style="position: relative; left: -.6em;"><sub>D</sub></em><sup>0</sup> obtained by CLEO as input. In addition, a data-driven technique is used to correct for decay time biases induced by the selection removing any systematic effects due to extracting this from simulated data. As the amount of available data increases, both of these techniques will become vital to improving our understanding of mixing in charm.</p> <p>In the CP convention used by Babar and adopted for this thesis, the measured mixing parameters are</p> <p>x<sub><em>D</em></sub></p> = -(0.863 ± 0.527 (stat.) ± 0.171 (syst.)) %, <p>y<sub><em>D</em></sub></p> = -(0.026 ± 0.463 (stat.) ± 0.134 (syst.)) %. <p>Both x<sub><em>D</em></sub></p> and y<sub><em>D</em></sub> are consistent with the current world averages.
spellingShingle Particle physics
Torr, N
Nicholas Torr
A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title_full A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title_fullStr A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title_full_unstemmed A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title_short A model-independent approach to mixing in prompt D° → Ks° pi+ pi- decays at LHCb
title_sort model independent approach to mixing in prompt d° ks° pi pi decays at lhcb
topic Particle physics
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AT nicholastorr amodelindependentapproachtomixinginpromptdkspipidecaysatlhcb
AT torrn modelindependentapproachtomixinginpromptdkspipidecaysatlhcb
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