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 $\gamma$ - INSPIRE

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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 $\gamma$

LHCb

Collaboration

Sep, 2012

13 pages

Published in:

Phys.Lett.B 718 (2012) 43-55

Published: Jul 16, 2013

e-Print:

1209.5869 [hep-ex]

DOI:

10.1016/j.physletb.2012.10.020

PDG: r

_{B}

{{\mathit B}^{+}}

\rightarrow

{{\mathit D}^{0}}{{\mathit K}^{+}}

Report number:

CERN-PH-EP-2012-268,
LHCB-PAPER-2012-027

Experiments:

CERN-LHC-LHCb

View in:

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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.

D: hadronic decay
B: hadronic decay
CP: violation
Dalitz plot
CKM matrix: unitarity
CLEO
LHC-B
p p: interaction
decay: amplitude analysis
track data analysis: vertex

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