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On the energy dependence of the dipole-proton cross section in deep inelastic scattering


Ewerz, C; von Manteuffel, A; Nachtmann, O (2011). On the energy dependence of the dipole-proton cross section in deep inelastic scattering. Journal of High Energy Physics, (3):62.

Abstract

We study the dipole picture of high-energy virtual-photon-proton scattering. It is shown that different choices for the energy variable in the dipole cross section used in the literature are not related to each other by simple arguments equating the typical dipole size and the inverse photon virtuality, contrary to what is often stated. We argue that the good quality of fits to structure functions that use Bjorken- x as the energy variable — which is strictly speaking not justified in the dipole picture — can instead be understood as a consequence of the sign of scaling violations that occur for increasing Q 2 at fixed small x. We show that the dipole formula for massless quarks has the structure of a convolution. From this we obtain derivative relations between the structure function F 2 at large and small Q 2 and the dipole-proton cross section at small and large dipole size r, respectively.

We study the dipole picture of high-energy virtual-photon-proton scattering. It is shown that different choices for the energy variable in the dipole cross section used in the literature are not related to each other by simple arguments equating the typical dipole size and the inverse photon virtuality, contrary to what is often stated. We argue that the good quality of fits to structure functions that use Bjorken- x as the energy variable — which is strictly speaking not justified in the dipole picture — can instead be understood as a consequence of the sign of scaling violations that occur for increasing Q 2 at fixed small x. We show that the dipole formula for massless quarks has the structure of a convolution. From this we obtain derivative relations between the structure function F 2 at large and small Q 2 and the dipole-proton cross section at small and large dipole size r, respectively.

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3 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:March 2011
Deposited On:18 Feb 2012 14:37
Last Modified:05 Apr 2016 14:55
Publisher:Springer
ISSN:1126-6708 (P) 1029-8479 (E)
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/JHEP03(2011)062
Related URLs:http://arxiv.org/abs/1101.0288
Permanent URL: https://doi.org/10.5167/uzh-48328

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