First model-independent Dalitz analysis of B0DK0B^0 \to DK^{*0}, DKS0π+πD\to K_S^0\pi^+\pi^- decay

Collaboration
Sep 3, 2015
16 pages
Published in:
  • PTEP 2016 (2016) 4, 043C01
  • Published: Apr 1, 2016
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Abstract: (Oxford University Press)
We report a measurement of the amplitude ratio rSr_S of B0D0K0B^0 \to D^0K^{\ast 0} and B0D0ˉK0B^0 \to \bar {D^0}K^{\ast 0} decays with a Dalitz analysis of DKS0π+πD\to K_S^0\pi ^+\pi ^- decays, for the first time using a model-independent method. We set an upper limit rS<0.87r_S < 0.87 at the 68% confidence level, using the full data sample of 711fb1711\,{\rm fb}^{-1} corresponding to 772×106772\times 10^6 BBˉB\bar {B} pairs collected at the Υ(4S)\Upsilon (4S) resonance with the Belle detector at the KEKB e+ee^+e^- collider. This result is obtained from observables x=+0.40.60.1+1.0+0.0±0.0x_- = +0.4 ^{+1.0 +0.0}_{-0.6 -0.1} \pm 0.0, y=0.61.00.0+0.8+0.1±0.1y_- = -0.6 ^{+0.8 +0.1}_{-1.0 -0.0} \pm 0.1, x+=+0.10.40.1+0.7+0.0±0.1x_+ = +0.1 ^{+0.7 +0.0}_{-0.4 -0.1} \pm 0.1, and y+=+0.30.80.1+0.5+0.0±0.1y_+ = +0.3 ^{+0.5 +0.0}_{-0.8 -0.1} \pm 0.1, where x±=rScos(δS±ϕ3)x_\pm = r_S \cos (\delta _S \pm \phi _3), y±=rSsin(δS±ϕ3)y_\pm = r_S \sin (\delta _S \pm \phi _3), and ϕ3 (δS)\phi _3\ (\delta _S) is the weak (strong) phase difference between B0D0K0B^0 \to D^0K^{\ast 0} and B0D0ˉK0B^0 \to \bar {D^0}K^{\ast 0}.
Note:
  • arXiv admin note: substantial text overlap with arXiv:1502.07550
  • Cabibbo-Kobayashi-Maskawa quark-mixing matrix
  • CP violation
  • Experimental Particle Physics
  • electron positron: annihilation
  • electron positron: colliding beams
  • B: pair production
  • B0: hadronic decay
  • D: hadronic decay
  • Dalitz plot
  • Upsilon(10570)