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Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current

High Energy Physics - Phenomenology 2009-09-11 v1

Abstract

The matrix elements of electroweak currents which occur in exclusive decays of heavy hadrons are evaluated in the nonperturbative light-cone Fock representration. In general, each semileptonic exclusive decay amplitude receives two contributions, a diagonal Δn=0\Delta n = 0 parton-number-conserving amplitude and a Δn=2\Delta n = -2 contribution in which a quark and an antiquark from the initial hadron Fock state annihilate to the leptonic current. The general formalism can be used as a basis for systematic approximations to heavy hadron decay amplitudes such as hard perturbative QCD contributions. We illustrate the general formalism using a simple perturbative model of composite hadrons. Our analysis demonstrates the occurence of "zero-mode" endpoint contributions to matrix elements of the "bad" jj^- currents in the Drell-Yan frame when q+0q^+ \to 0.

Keywords

Cite

@article{arxiv.hep-ph/9806358,
  title  = {Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current},
  author = {S. J. Brodsky and D. S. Hwang},
  journal= {arXiv preprint arXiv:hep-ph/9806358},
  year   = {2009}
}

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LaTex, 15 pages