Factorization and infrared properties of non-perturbative contributions to DIS structure functions

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• 作者：B. I. Ermolaev (1) boris.ermolaev@cern.ch
  M. Greco (2)
  S. I. Troyan (3)
• 刊名：The European Physical Journal C - Particles and Fields
• 出版年：2011
• 出版时间：September 2011
• 年：2011
• 卷：71
• 期：9
• 页码：DOI: 10.1140/epjc/s1
• 全文大小：623.4 KB
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• 作者单位：1. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia2. Department of Physics and INFN, University Roma Tre, Rome, Italy3. St. Petersburg Institute of Nuclear Physics, 188300 Gatchina, Russia
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Elementary Particles and Quantum Field Theory
  Nuclear Physics, Heavy Ions and Hadrons
  Physics beyond the Standard Model
  Measurement Science and Instrumentation
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6052

文摘

In this paper we present a new derivation of QCD factorization. We deduce the k _T and collinear factorizations for the DIS structure functions by consecutive reductions of a more general theoretical construction. We begin by studying the amplitude of forward Compton scattering off a hadron target, representing this amplitude as a set of convolutions of two blobs connected by the simplest, two-parton intermediate states. Each blob in the convolutions can contain both the perturbative and non-perturbative contributions. We formulate conditions for separating the perturbative and non-perturbative contributions and attributing them to the different blobs. After that the convolutions correspond to QCD factorization. Then we reduce this totally unintegrated (basic) factorization first to k _T -factorization and finally to collinear factorization. In order to yield a finite expression for the Compton amplitude, the integration over the loop momentum in the basic factorization must be free of both ultraviolet and infrared singularities. This obvious mathematical requirement leads to theoretical restrictions on the non-perturbative contributions (parton distributions) to the Compton amplitude and the DIS structure functions related to the Compton amplitude through the Optical Theorem. In particular, our analysis excludes the use of the singular factors x −a (with a>0) in the fits for the quark and gluon distributions because such factors contradict the integrability of the basic convolutions for the Compton amplitude. This restriction is valid for all DIS structure functions in the framework of both k _T -factorization and collinear factorization if we attribute the perturbative contributions only to the upper blob. The restrictions on the non-perturbative contributions obtained in the present paper can easily be extended to other QCD processes where the factorization is exploited.