Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays

A binning scheme is proposed for D→K+π−π−π+ phase space that will improve the sensitivity of a B−→DK− analysis to the angle γ of the Cabibbo-Kobayashi-Maskawa Unitarity Triangle. The scheme makes use of amplitude models recently reported by the LHCb collaboration. Assuming that a four-bin scheme opt...

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Main Authors: T. Evans, J. Libby, S. Malde, G. Wilkinson
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319309104
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author T. Evans
J. Libby
S. Malde
G. Wilkinson
author_facet T. Evans
J. Libby
S. Malde
G. Wilkinson
author_sort T. Evans
collection DOAJ
description A binning scheme is proposed for D→K+π−π−π+ phase space that will improve the sensitivity of a B−→DK− analysis to the angle γ of the Cabibbo-Kobayashi-Maskawa Unitarity Triangle. The scheme makes use of amplitude models recently reported by the LHCb collaboration. Assuming that a four-bin scheme optimised on the models retains a similar sensitivity when applied in data, it is estimated that the statistical uncertainty on γ from the B-meson sample so far collected by the LHCb experiment will be as low as 5 degrees. This will be one of the most precise results available for any single decay mode in a B−→DK− measurement. Quantum-correlated DD¯ data accumulated by the CLEO-c experiment are analysed to provide first constraints on the coherence factors and average strong-phase differences in the four bins, which are necessary inputs for the measurement. These constraints are compared with the predictions of the model, and consequences for the measurement of γ are discussed. Keywords: Charm decay, CP violation
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spelling doaj.art-5c72fde6b5a444f0b804413c38f7c6d92022-12-21T19:38:05ZengElsevierPhysics Letters B0370-26932020-03-01802Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decaysT. Evans0J. Libby1S. Malde2G. Wilkinson3European Organisation for Nuclear Research (CERN), 1211 Geneva 23, Switzerland; Corresponding author.Indian Institute of Technology Madras, Chennai 600036, IndiaUniversity of Oxford, Denys Wilkinson Building, Keble Road, OX1 3RH, United KingdomUniversity of Oxford, Denys Wilkinson Building, Keble Road, OX1 3RH, United KingdomA binning scheme is proposed for D→K+π−π−π+ phase space that will improve the sensitivity of a B−→DK− analysis to the angle γ of the Cabibbo-Kobayashi-Maskawa Unitarity Triangle. The scheme makes use of amplitude models recently reported by the LHCb collaboration. Assuming that a four-bin scheme optimised on the models retains a similar sensitivity when applied in data, it is estimated that the statistical uncertainty on γ from the B-meson sample so far collected by the LHCb experiment will be as low as 5 degrees. This will be one of the most precise results available for any single decay mode in a B−→DK− measurement. Quantum-correlated DD¯ data accumulated by the CLEO-c experiment are analysed to provide first constraints on the coherence factors and average strong-phase differences in the four bins, which are necessary inputs for the measurement. These constraints are compared with the predictions of the model, and consequences for the measurement of γ are discussed. Keywords: Charm decay, CP violationhttp://www.sciencedirect.com/science/article/pii/S0370269319309104
spellingShingle T. Evans
J. Libby
S. Malde
G. Wilkinson
Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
Physics Letters B
title Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
title_full Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
title_fullStr Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
title_full_unstemmed Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
title_short Improved sensitivity to the CKM phase γ through binning phase space in B− → DK−, D → K+π−π−π+ decays
title_sort improved sensitivity to the ckm phase γ through binning phase space in b    dk d   k π π π decays
url http://www.sciencedirect.com/science/article/pii/S0370269319309104
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