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High Energy Physics - Phenomenology

arXiv:hep-ph/9806482 (hep-ph)
[Submitted on 25 Jun 1998 (v1), last revised 16 Sep 1998 (this version, v2)]

Title:A resummation of large sub-leading corrections at small x

Authors:G.P. Salam
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Abstract: The NLL corrections to the BFKL kernel are known to be very large, to the extent that even for small values of alpha_s, they lead to physical cross sections which are not positive definite. It is shown in the context of a toy model, that such pathological behaviour is an artifact of the truncation at NLL order, and is associated in particular with double transverse logarithms. These are resummed in a manner consistent with the full NLL kernel, and are shown to change its properties quite considerably.
Comments: 19 pages LaTeX, 5 figures, includes this http URL and this http URL. Version 2 additionally includes an appendix, numerous clarifications, correction of typos and extra references
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: IFUM-627-FT
Cite as: arXiv:hep-ph/9806482
  (or arXiv:hep-ph/9806482v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/9806482
Journal reference: JHEP 9807:019,1998
Related DOI: https://doi.org/10.1088/1126-6708/1998/07/019

Submission history

From: Gavin Salam [view email]
[v1] Thu, 25 Jun 1998 14:44:43 UTC (55 KB)
[v2] Wed, 16 Sep 1998 15:00:24 UTC (57 KB)
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