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Measurement of |V(ub) / V(cb)| (and |V(ub)|) in exclusive nonleptonic decays within the generalized factorization scheme

Oct, 2000
15 pages
Published in:
  • Phys.Rev.D 63 (2001) 094506
e-Print:
DOI:
Report number:
  • YUMS-00-08
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Abstract:
We have studied extracting |\vub/\vcb| by calculating the ratios B(Bˉ0→Ds(∗)−(π+,ρ+))/B(Bˉ0→Ds(∗)−D(∗)+){\cal B}(\bar{B}^0\to D_s^{(*)-}(\pi^+,\rho^+))/{\cal B}(\bar{B}^0\to D_s^{(*)-}D^{(*)+}) including penguin effects within the factorization assumption. The ratios involving Bˉ0→Ds−D+\bar{B}^0\to D_s^-D^{+} mode have considerable penguin corrections (∼15\sim 15% at the amplitude level), but those involving Bˉ0→Ds−D∗+\bar{B}^0\to D_s^-D^{*+} mode have relatively small penguin corrections. On the other hand, the Bˉ0→Ds−D+\bar{B}^0\to D_s^-D^{+} mode has smaller form-factor dependance. Therefore, these ratios complement each other in measuring \vub/\vcb. The theoretical uncertainty from the hadronic form factors in our method is at the level of 15%, which is comparable to the model-dependence uncertainty of about 20% in the measurement of | \vub/\vcb | from the exclusive semileptonic B decays. Using the newest upper limit on B→DsπB\to D_s \pi decay from CLEO, our method sets an upper limit | \vub/\vcb | < 0.13 which is very close to the measured values from the semileptonic B decays. We also discuss the possible breaking of factorization assumption.
  • anti-B0: hadronic decay
  • anti-B0: branching ratio
  • D
  • D/s
  • D/s*(2110)
  • D*(2010)
  • CKM matrix: ratio
  • amplitude analysis
  • form factor
  • numerical calculations: interpretation of experiments
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