A novel unbinned model-independent method to measure the CKM angle γ in B ± → DK ± decays with optimised precision

Jake Lane (Monash University, Melbourne, Australia; University of Manchester, Manchester, U.K.) ; Evelina Gersabeck (University of Manchester, Manchester, U.K.) ; Jonas Rademacker (University of Bristol, Bristol, U.K.)

We present a novel unbinned method to combine B ± → DK ± and charm threshold data for the amplitude-model unbiased measurement of the CKM angle γ in cases where the D meson decays to a three-body final state. The new unbinned approach avoids any kind of integration over the D Dalitz plot, to make optimal use the available information. We verify the method with simulated signal data where the D decays to K S π + π − . Using realistic sample sizes, we find that the new method reaches the statistical precision on γ of an unbinned model-dependent fit, i.e. as good as possible and better than the widely used model-independent binned approach, without suffering from biases induced by a mis-modeled D decay amplitude.

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      "value": "We present a novel unbinned method to combine B  \u00b1  \u2192 DK  \u00b1  and charm threshold data for the amplitude-model unbiased measurement of the CKM angle \u03b3 in cases where the D meson decays to a three-body final state. The new unbinned approach avoids any kind of integration over the D Dalitz plot, to make optimal use the available information. We verify the method with simulated signal data where the D decays to K  S  \u03c0 + \u03c0  \u2212 . Using realistic sample sizes, we find that the new method reaches the statistical precision on \u03b3 of an unbinned model-dependent fit, i.e. as good as possible and better than the widely used model-independent binned approach, without suffering from biases induced by a mis-modeled D decay amplitude."
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Published on:
01 September 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 9
Pages 1-20
DOI:
https://doi.org/10.1007/JHEP09(2023)007
arXiv:
2305.10787
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: