Small x Behavior of Parton Distributions from the Observed Froissart Energy Dependence of the Deep Inelastic Scattering Cross Section

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dc.creatorBlock, M. M.
dc.creatorBerger, E. L.
dc.creatorTan, C. -I.
dc.date2006-10-23
dc.date.accessioned2026-07-07T11:05:58Z
dc.date.available2026-07-07T11:05:58Z
dc.descriptionWe fit the reduced cross section for deep-inelastic electron scattering data to a three parameter ln^2 s fit, A + beta ln^2 (s/s_0), where s= [Q^2/x] (1-x) + m^2, and Q^2 is the virtuality of the exchanged photon. Over a wide range in Q^2 (0.11 < Q^2 < 1200 GeV^2) all of the fits satisfy the logarithmic energy dependence of the Froissart bound. We can use these results to extrapolate to very large energies and hence to very small values of Bjorken x -- well beyond the range accessible experimentally. As Q^2 --> infinity, the structure function F_2^p(x, Q^2) exhibits Bjorken scaling, within experimental errors. We obtain new constraints on the behavior of quark and antiquark distribution functions at small x.
dc.description10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0610296
dc.identifierhttp://arxiv.org/abs/hep-ph/0610296
dc.identifierPhys.Rev.Lett.97:252003,2006
dc.identifierdoi:10.1103/PhysRevLett.97.252003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189373
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleSmall x Behavior of Parton Distributions from the Observed Froissart Energy Dependence of the Deep Inelastic Scattering Cross Section
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