arXiv subjects
Publications and source records attributed to W. F. Palmer.
A general approach for evaluating the nonfactorizable contributions to the hadronic matrix elements is described in terms of the higher twist wave functions of the mesons. An example is illustrated for the $B^{0} \to π^{+}π^{-}$ decays.
The parton model as developed for semileptonic B decays is applied to the inclusive decay B to J/Psi+X. We calculate the momentum spectrum of the J/Psi using a one-parameter distribution function for the heavy quark, taken from production experiments, and compare our results with recent data from CLEO which fixes the distribution parameter epsilon_p. An analogous calculation is carried out in the ACCMM model where the data determines the Fermi motion parameter p_f. The models give a good description of the data, provided in each of them the parameter in the distribution function is chosen to correspond to a softer b quark momentum distribution than that commonly used in studies of semileptonic B decays. In particular we arrive at epsilon_p = O(0.008) and p_f = O(0.55 GeV), respectively. The latter value (p_f = 0.5 GeV) produces in the ACCMM model 10^2*|V_ub/V_cb|^2=1.03, which removes a former supposed discrepancy with the ISGW model. Finally, the strength of the effective color singlet coefficient is found to be a_2 = O(0.28) in both models.
We present a general model-independent and rephase-invariant formalism that cleanly relates observables to the fundamental parameters and explicitly separates different types of CP violation in the $B^0$-, $D^0$- and $K^0$- systems. We emphasize its importance when interpreting experimental measurement of CP violation, the unitarity triangle, and probes of new physics.
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 $α_s$ 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.
We study the inclusive semileptonic B decays in the parton model. The model gives a decay spectrum which is in excellent agreement with experiment and makes several predictions to be tested in the forseeable future.
We calculate direct CP-violating observables in charged $B\to VV$ decays arising from the interference of amplitudes with different strong and CKM phases. The perturbative strong phases develop at order $α_s$ 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 15-30\% for certain channels with branching ratios in the $10^{-6}$ range. The small values of the coefficients of angular correlations, which we calculated previously to be of order $10^{-2}$, are not significantly degraded by the strong phases. The charge asymmetries of rates and angular distributions would provide unambiguous evidence for direct CP violation.
The parton model for semileptonic B meson decays is studied with special attention to the decay distributions. We find that the spectra show dramatic variations when we introduce cuts on the hadronic energy or invariant mass of hadrons. Results for both $b\rightarrow u$ and $b\rightarrow c$ decays are presented. The detailed spectra may help to separate the two types of decays.