Quark- and Gluon-Condensate Contributions to Penguin Four-Fermi Operators

The nonperturbative content of the QCD vacuum permits the occurrence of QCD-vaccum condensate contributions to penguin amplitudes. We calculate the dimension-4 $$and$$ contributions to the effective Wilson coefficients for penguin four-Fermi operators, and discuss how such contributions may contribute to nonleptonic B decays.Comment: 7 pages, latex uses aipproc, 3 postscript figures included, Talk given at 21st Annual MRST Conference: High Energy Physics at the Millenium (MRST 99 and the Sundarfest), Ottawa, Ontario, Canada, 10-12 May 199

Electroweak Calculations In The Presence Of Nonperturbative Qcd Effects

A momentum space Feynman rule is derived for the quark condensate insertion into Feynman amplitudes using the quark condensate component of the nonperturbative vacuum expectation value of the two nonlocal normal ordered quark fields. The lowest-order quark condensate component of the QCD nonperturbative quark self-energy is calculated, leading to a gauge independent dynamical component for the quark mass.;Insertion of this nonperturbative order parameter into lowest-order electroweak quark self-energies is shown to satisfy on-mass-shell gauge parameter independence only if there is no contribution from the dynamical symmetry breaking parameter {dollar}\langle\bar\Psi\Psi\rangle.{dollar} Dynamical contributions to the quark propagator, such as those from nonperturbative QCD leading to a dynamical quark mass, are shown to generate corrections to electroweak Green\u27s functions in order to retain consistency with SU(2) {dollar}\times{dollar} U(1) Ward identities. Such corrections lead to additional contributions to 3- and 4-point vertices which are annihilated by transverse projection operator, suggesting the utility of Landau gauge for calculations involving dynamical effects.;The induced Yukawa coupling in the chiral limit is calculated, providing an example of a physical consequence of such externally generated corrections to electroweak Green\u27s functions

Non-Leptonic B Decays into K-Resonances

We estimate the non-leptonic B decays $B \rightarrow (\psi ,\psi^\prime , \chi_{1c})+K^i$, where $K^i$ are various K-meson resonances. We use the model of Isgur, Wise, Scora and Grinstein in the context of heavy quark effective theory, to calculate the hadronic matrix elements. Our estimates show that a substantial fraction of $B \rightarrow X_s \psi$ results in higher resonances of K-meson and besides $B \rightarrow K(K^*) \psi$, a considerable fraction of $B \rightarrow X_s (c\bar c)$ goes to $B \rightarrow (K,K^*)+( \psi^{\prime},\chi_{1c})$.Comment: 9 pages, late

B-> K photon photon via intermediate eta'

We examine our previous conjecture that the eta' intermediate resonance has the dominant role in the long distance contributions to B decay into two photons and a strange final state hadron. We calculate the branching ratio of the exclusive B-> K eta'-> K photon photon decay using the nonspectator mechanism for eta' production in charmless hadronic B decays. It is shown that the obtained branching ratio B^eta'(B-> K\gamma\gamma)~ 8.7 X 10^{-7} is more than twice as large as the eta_c contribution to this decay mode.Comment: 6 pages, latex, no figure