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

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 $\Delta n=0$ parton-number-conserving amplitude and a $\Delta n=-2$ 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" $j^{-}$ currents in the Drell-Yan frame when $q^{+}\to 0$.

LaTex, 15 pages

References in corpus (3)

• B->pi and B->K Transitions from QCD Sum Rules on the Light-Cone
• Light-Cone Wavefunctions at Small $x$
• The Influence of Higher Fock States in Light-Cone Gauge Theories

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