1996/04/06 by F. J. Yndurain, Félix Ynduráin, Yndurain, F. J.
Engineering · Materials Science · Physics and Astronomy · #Advanced Semiconductor Detectors and Materials #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Random lasers and scattering media #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9604263
Plain TeX, 8 postscript figures
arxiv created 1996/04/06 · openalex publication_date 1996/04/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the early eighties, López, González-Arroyo and the present author proved that, if at a given Q02 large enough for perturbative QCD to be valid, structure functions behave as a power of x for x→ 0, then for all larger Q2 one has F2(x,Q2)≃ BS[αs(Q2)]-d+x-λ +BNS[αs(Q2)]^-D11x0.5, FG(x,Q2)≃ BG[αs(Q2)]-d+x-λ R(x,Q2)=\fracr0αs(Q2)π, with D11, d+, BG, r0 calculable in terms of BS, λ. Moreover, it was suggested that the ``hard" part of the scattering cross section for real photons (Compton scattering) obeys a similar law, so that σγp≃ Bγpsλ+AγpσP, with a value of λ comparable to that in the expression for the structure functions, and where σP∼log2s is a universal, Pomeron-type cross section, and Aγp, Bγp are constants. In the present paper it is shown that the recent HERA measurements may be described by these formulas, with a chi-sqared/d.o.f. substantially less than unity, and with values of the parameters compatible with those of the old fits of the '80s. Moreover, further discussions are presented both on the low Q2 limit, and the transition between Compton and deep inelastic scattering, in particular in connection with possible saturation of the coupling constant αs(Q2) at small Q2; and on the ultra high energy limit, and how one might test the so-called BFKL conjecture, limx→ 0\atop Q2→ ∞F2(x,Q2)∼ x-c0αs.\hb With respect to the last we find some evidence against