Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering

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dc.creatorBerger, Edmond L.
dc.creatorBlock, M. M.
dc.creatorTan, Chung-I
dc.date2007-02-28
dc.date2007-05-14
dc.date.accessioned2026-07-07T11:59:10Z
dc.date.available2026-07-07T11:59:10Z
dc.descriptionWe obtain a good analytic fit to the joint Bjorken-x and Q^2 dependences of ZEUS data on the deep inelastic structure function F_2(x, Q^2). At fixed virtuality Q^2, as we showed previously, our expression is an expansion in powers of log (1/x) that satisfies the Froissart bound. Here we show that for each x, the Q^2 dependence of the data is well described by an expansion in powers of log Q^2. The resulting analytic expression allows us to predict the logarithmic derivatives {({\partial}^n F_2^p/{(\partial\ln Q^2})^n)}_x for n = 1,2 and to compare the results successfully with other data. We extrapolate the proton structure function F_2^p(x,Q^2) to the very large Q^2 and the very small x regions that are inaccessible to present day experiments and contrast our expectations with those of conventional global fits of parton distribution functions.
dc.description4 pages, 3 figures, a few changes in the text. Version to be published in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/hep-ph/0703003
dc.identifierhttp://arxiv.org/abs/hep-ph/0703003
dc.identifierPhys.Rev.Lett.98:242001,2007
dc.identifierdoi:10.1103/PhysRevLett.98.242001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206469
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleAnalytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering
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