Fock Space Distributions, Structure Functions, Higher Twists and Small x

Details Fock Space Distributions, Structure Functions, Higher Twists and Small x Fock Space Distributions, Structure Functions, Higher Twists and Small x

1998-09-17

arxiv.org/abs/hep-ph/9809427v2

Phys.Rev. D59 (1999) 094002

Physics

High Energy Physics

High Energy Physics - Phenomenology

52 pages Latex, Revised with minor typos corrected

Scientific paper

10.1103/PhysRevD.59.094002

We compute quark structure functions and the intrinsic Fock space distribution of sea quarks in a hadron wavefunction at small x. The computation is performed in an effective theory at small x where the gluon field is treated classically. At $Q^2$ large compared to an intrinsic scale associated with the density of gluons $\mu^2$, large compared to the QCD scale $\Lambda^2_{QCD}$, and large compared to the quark mass squared $M^2$, the Fock space distribution of quarks is identical to the distribution function measured in deep inelastic scattering. For $Q^2 \le M^2$ but $Q^2 >> \mu^2$, the quark distribution is computed in terms of the gluon distribution function and explicit expressions are obtained. For $Q^2 \le \mu^2$ but $Q^2 >> \Lambda_{QCD}^2$ we obtain formal expressions for the quark distribution functions in terms of the glue. An evaluation of these requires a renormalization group analysis of the gluon distribution function in the regime of high parton density. For light quarks at high $Q^2$, the DGLAP flavor singlet evolution equations for the parton distributions are recovered. Explicit expressions are given for heavy quark structure functions at small x.

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