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

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arxiv hep-ph/9806358 v1 pith:AI32YKGT submitted 1998-06-12 hep-ph

classification hep-ph
keywords contributionselementsgeneralmatrixamplitudecurrentcurrentsdecay
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $q^+ \to 0$.

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  1. Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Adding an antinucleon Fock component, even at only ~2% probability, dramatically reduces the frame dependence of the charge form factor in strongly coupled scalar Yukawa theory on the light front.

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