Virtual photon structure to non-leading order in QCD

T. Uematsu, T. F. Walsh

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Abstract

We investigate the virtual photon structure functions for Λ2 ≪ P2 ≪ Q2, where -Q2 (-P2) is the mass squared of the probe (target) photon. We do this to next-to-leading order in QCD. The non-leading corrections significantly modify the leading log result, in particular at large x. Also, the perturbatively calculated structure function is positive at low x even for P2 ≈ 1 GeV2. (For a real photon target it becomes negative at low x.) For large P2 the QCD result approaches the box diagram (Born) structure function also when non-leading contributions are included. It is, however, important to include the large non-leading box diagram contributions in making this comparison.

Original languageEnglish (US)
Pages (from-to)93-118
Number of pages26
JournalNuclear Physics, Section B
Volume199
Issue number1
DOIs
StatePublished - May 17 1982

Bibliographical note

Funding Information:
We wish to thank W.A. Bardeen and A.J. Buras for valuable discussions and reading of the manuscript. One of us (T.U.) would like to thank Chris Quigg and the members of Fermilab Theoretical Physics Department for the kind hospitality. He also would like to thank H. Joos and the members of DESY Theory Group for the hospitality during his stay at DESY, where part of this work was done, and also the Humboldt Foundation for financial support.

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