CP Violation and Strong Phases from Penguins in $\bf B^{\pm}\rightarrow PP$ and $\bf B^{\pm}\rightarrow VP$ Decays

Details CP Violation and Strong Phases from Penguins in $\bf B^{\pm}\rightarrow PP$ and $\bf B^{\pm}\rightarrow VP$ Decays CP Violation and Strong Phases from Penguins in $\bf B^{\pm}\rightarrow PP$ and $\bf B^{\pm}\rightarrow VP$ Decays

1994-10-30

arxiv.org/abs/hep-ph/9410406v2

Z.Phys. C66 (1995) 429-438

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 4 figures (3 available as uuencoded ps-files), LaTeX, preprint DESY 94-170

Scientific paper

10.1007/BF01556369

We calculate direct CP-violating rate asymmetries in charged $B\to PP$ and $B\to VP$ decays arising from the interference of amplitudes with different strong and CKM phases. The perturbative strong phases develop at order $\alpha_s$ from absorptive parts of one-loop matrix elements of the next-to-leading logarithm corrected effective Hamiltonian. CPT constraints are maintained. Based on this model, we find that partial rate asymmetries between charge conjugate $B^{\pm}$ decays can be as high as 20\% for certain channels with branching ratios in the $10^{-6}$ range. Because the $c\bar{c}$ threshold lies so close to the physical momentum scale, the asymmetries depend sensitively on the model assumptions used to evaluate the imaginary parts of the matrix elements, in particular, on the internal momentum transfer. The charge asymmetries of partial rates would provide unambiguous evidence for direct CP violation.

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