A model-independent Dalitz plot analysis of $B^\pm \to D K^\pm$ with $D \to K^0_{\rm S} h^+h^-$ ($h=\pi, K$) decays and constraints on the CKM angle $\gamma$
R. Aaij
,
S. Barsuk
(1)
,
O. Callot
(1)
,
J. He
(1)
,
B. Jean-Marie
(1)
,
J. Lefrançois
(1)
,
F. Machefert
(1)
,
A. Martin Sanchez
(1)
,
M. Nicol
(1)
,
P. Robbe
(1)
,
M.-H. Schune
(1)
,
B. Viaud
(1)
,
I. Videau
(1)
,
E. Ben-Haim
(2)
,
M. Benayoun
(2)
,
P. David
(2)
,
L. del Buono
(2)
,
A. Martens
(2)
,
F. Polci
(2)
,
Ziad Zj Ajaltouni
(3)
,
E. Cogneras
(3)
,
O. Deschamps
(3)
,
I. El Rifai
(3)
,
Pierre Henrard
(3)
,
M. Hoballah
(3)
,
Marwa Jahjah-Hussein
(3)
,
R. Lefèvre
(3)
,
L. Li Gioi
(3)
,
S. Monteil
(3)
,
V. Niess
(3)
,
Pascal Perret
(3)
,
Diego Alejandro Roa Romero
(3)
,
Krzysztof Grzegorz Sobczak
(3)
,
C. Adrover
(4)
,
E. Aslanides
(4)
,
J. Cogan
(4)
,
R. Legac
(4)
,
O. Leroy
(4)
,
G. Mancinelli
(4)
,
E. Maurice
(4)
,
M. Perrin-Terrin
(4)
,
M. Sapunov
(4)
,
J. Serrano
(4)
,
A. Tsaregorodtsev
(4)
,
I. de Bonis
(5)
,
D. Decamp
(5)
,
Ph. Ghez
(5)
,
P. Hopchev
(5)
,
J.-P. Lees
(5)
,
I.V. Machikhiliyan
(5)
,
M.-N. Minard
(5)
,
B. Pietrzyk
(5)
,
S. t'Jampens
(5)
,
V. Tisserand
(5)
,
E. Tournefier
(5)
R. Aaij
- Function : Author
J. He
- Function : Author
- PersonId : 756138
- ORCID : 0000-0001-8179-417X
E. Ben-Haim
- Function : Author
- PersonId : 1444626
- IdRef : 090175859
L. del Buono
- Function : Author
- PersonId : 742055
- IdHAL : luigi-del-buono
- ORCID : 0000-0003-4774-2194
- IdRef : 253135834
A. Martens
- Function : Author
- PersonId : 738690
- IdHAL : aurelien-martens
Ziad Zj Ajaltouni
- Function : Author
- PersonId : 903794
E. Cogneras
- Function : Author
- PersonId : 743220
- IdHAL : eric-cogneras
- ORCID : 0000-0002-8933-9427
O. Deschamps
- Function : Author
- PersonId : 12089
- IdHAL : olivier-deschamps
- ORCID : 0000-0002-7047-6042
- IdRef : 161447368
Pierre Henrard
- Function : Author
- PersonId : 829303
M. Hoballah
- Function : Author
- PersonId : 1174785
- IdHAL : mostafa-adam-hoballah-hobart
- ORCID : 0000-0002-9018-1639
Pascal Perret
- Function : Author
- PersonId : 739797
- IdHAL : pascal-perret
- ORCID : 0000-0002-5732-4343
Diego Alejandro Roa Romero
- Function : Author
- PersonId : 769524
- IdRef : 172096839
J. Cogan
- Function : Author
- PersonId : 750510
- IdHAL : julien-cogan
- ORCID : 0000-0001-7194-7566
- IdRef : 078779014
O. Leroy
- Function : Author
- PersonId : 171866
- IdHAL : olivier-leroy
- ORCID : 0000-0002-2589-240X
- IdRef : 169871835
M. Perrin-Terrin
- Function : Author
- PersonId : 741779
- IdHAL : perrin-terrin
- ORCID : 0000-0002-3568-1956
- IdRef : 179269666
J. Serrano
- Function : Author
- PersonId : 175327
- IdHAL : justine-serrano
- ORCID : 0000-0003-2489-7812
- IdRef : 127525521
S. t'Jampens
- Function : Author
- PersonId : 736045
- IdHAL : stephane-tjampens
- ORCID : 0000-0003-4249-6641
Abstract
A binned Dalitz plot analysis of $B^\pm \to D K^\pm$ decays, with $D \to K^0_{\rm S} \pi^+\pi^-$ and $D \to K^0_{\rm S} K^+ K^-$, is performed to measure the CP-violating observables $x_{\pm}$ and $y_{\pm}$ which are sensitive to the CKM angle $\gamma$. The analysis exploits 1.0 $\rm fb^{-1}$ of data collected by the LHCb experiment. The study makes no model-based assumption on the variation of the strong phase of the D decay amplitude over the Dalitz plot, but uses measurements of this quantity from CLEO-c as input. The values of the parameters are found to be $x_- = (0.0 \pm 4.3 \pm 1.5 \pm 0.6) \times 10^{-2}$, $y_- = (2.7 \pm 5.2 \pm 0.8 \pm 2.3) \times 10^{-2}$, $x_+ = (-10.3 \pm 4.5 \pm 1.8 \pm 1.4)\times 10^{-2}$ and $y_+ = (-0.9 \pm 3.7 \pm 0.8 \pm 3.0)\times 10^{-2}$. The first, second, and third uncertainties are the statistical, the experimental systematic, and the error associated with the precision of the strong-phase parameters measured at CLEO-c, respectively. These results correspond to $\gamma = (44^{\,+43}_{\,-38})^\circ$, with a second solution at $\gamma \to \gamma + 180^\circ$, and $r_B = 0.07 \pm 0.04$, where $r_B$ is the ratio between the suppressed and favoured B decay amplitudes.