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Target mass corrections

REVIEW ARTICLE

Ingo Schienbein1,2, Voica A Radescu3, G P Zeller4, M Eric Christy5, C E Keppel5,6, Kevin S McFarland7, W Melnitchouk6, Fredrick I Olness2, Mary Hall Reno8, Fernando Steffens9 and Ji-Young Yu2

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TOPICAL REVIEW

With recent advances in the precision of inclusive lepton–nuclear scattering experiments, it has become apparent that comparable improvements are needed in the accuracy of the theoretical analysis tools. In particular, when extracting parton distribution functions in the large-x region, it is crucial to correct the data for effects associated with the nonzero mass of the target. We present here a comprehensive review of these target mass corrections (TMC) to structure functions data, summarizing the relevant formulas for TMCs in electromagnetic and weak processes. We include a full analysis of both hadronic and partonic masses, and trace how these effects appear in the operator product expansion and the factorized parton model formalism, as well as their limitations when applied to data in the x → 1 limit. We evaluate the numerical effects of TMCs on various structure functions, and compare fits to data with and without these corrections.


PACS

24.85.+p Quarks, gluons, and QCD in nuclear reactions

21.10.Dr Binding energies and masses

25.30.-c Lepton-induced reactions

Subjects

Nuclear physics

Dates

Issue 5 (May 2008)

Received 27 September 2007

Published 18 March 2008



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