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Improved Measurements of the Branching Fractions for B0→π+π−B^0 \to \pi^{+} \pi^{-} and B0→K+π−B^0 \to K^{+} \pi^{-}, and a Search for B0→K+K−B^0 \to K^{+} K^{-}

Collaboration
Aug, 2006
9 pages
Published in:
  • Phys.Rev.D 75 (2007) 012008
e-Print:
DOI:
Report number:
  • SLAC-PUB-12030,
  • BABAR-PUB-06-047
Experiments:
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Abstract:
We present measurements of the branching fractions for the charmless two-body decays \Bz\to\pip\pim and \Bz\to\Kp\pim, and a search for the decay \Bz\to\Kp\Km. We include the effects of final-state radiation from the daughter mesons for the first time, and quote branching fractions for the inclusive processes \Bz\to h^+ h^{\prime -} n\gamma, where hh and h′h^\prime are pions or kaons. The maximum value of the sum of the energies of the nn undetected photons, EγmaxE_\gamma^{\rm max}, is mode-dependent. Using a data sample of approximately 227 million \upsbb decays collected with the \babar\ detector at the \pep2 asymmetric-energy \epem collider at SLAC, we measure: \begin{eqnarray*} {\cal B} (\Bz \to \pip\pim n\gamma/\: E_{\gamma}^{\rm max}=150\mev) & = & (5.1\pm 0.4\pm 0.2)\times 10^{-6}, {\cal B} (\Bz \to \Kp\pim n\gamma/\: E_{\gamma}^{\rm max}=105\mev) & = & (18.1\pm 0.6\pm 0.6)\times 10^{-6}, {\cal B} (\Bz \to \Kp\Km n\gamma/\: E_{\gamma}^{\rm max}=59\mev) & < & 0.5 \times 10^{-6} (90% {\rm confidence level}), \end{eqnarray*} where the first uncertainty is statistical and the second is systematic. Theoretical calculations can be used to extrapolate from the above measurements the non-radiative branching fractions, B0{\cal B}^0. Using one such calculation, we find: \begin{eqnarray*} {\cal B}^0 (\Bz \to \pip\pim) & = & (5.5\pm 0.4\pm 0.3)\times 10^{-6}, {\cal B}^0 (\Bz \to \Kp\pim) & = & (19.1\pm 0.6\pm 0.6)\times 10^{-6}, {\cal B}^0 (\Bz \to \Kp\Km) & < & 0.5 \times 10^{-6} (90% {\rm confidence level}). \end{eqnarray*} Meaningful comparison between theory and experiment, as well as combination of measurements from different experiments, can be performed only in terms of these non-radiative quantities.
Note:
  • 9 pages, 12 postscript figues, submitted to PRD
  • 11.30.Er
  • 12.15.Hh
  • 13.25.Hw
  • electron positron: colliding beams
  • electron positron: annihilation
  • Upsilon(10570): electroproduction
  • B: pair production
  • B0: hadronic decay
  • final state: (0charm)
  • final state: two-particle
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