scholarly journals PROGRESS IN SMALL x RESUMMATION

2006 ◽  
Vol 21 (04) ◽  
pp. 769-776 ◽  
Author(s):  
STEFANO FORTE

I review recent theoretical progress in the resummation of small x contributions to the evolution of parton distributions, in view of its potential significance for accurate phenomenology at future colliders. I show that a consistent perturbative resummation of collinear and energy logs is now possible, and necessary if one wishes to use recent NNLO results in the HERA kinematic region.

1987 ◽  
Vol 02 (04) ◽  
pp. 1369-1387 ◽  
Author(s):  
Wu-Ki Tung

Some non-trivial features of the QCD-improved parton model relevant to applications on heavy particle production and semi-hard (small-x) processes of interest to collider physics are reviewed. The underlying ideas are illustrated by a simple example. Limitations of the naive parton formula as well as first order corrections and subtractions to it are dis-cussed in a quantitative way. The behavior of parton distribution functions at small x and for heavy quarks are discussed. Recent work on possible impact of unconventional small-x behavior of the parton distributions on small-x physics at SSC and Tevatron are summarized. The Drell-Yan process is found to be particularly sensitive to the small x dependence of parton distributions. Measurements of this process at the Tevatron can provide powerful constraints on the expected rates of semi-hard processes at the SSC.


1999 ◽  
Vol 549 (1-2) ◽  
pp. 242-262 ◽  
Author(s):  
A.V. Kotikov ◽  
G. Parente

2017 ◽  
Vol 921 ◽  
pp. 104-126 ◽  
Author(s):  
Bo-Wen Xiao ◽  
Feng Yuan ◽  
Jian Zhou

1996 ◽  
Vol 365 (1-4) ◽  
pp. 347-358 ◽  
Author(s):  
T. Gehrmann ◽  
W.J. Stirling
Keyword(s):  

2007 ◽  
Vol 53 (3) ◽  
pp. 355-366 ◽  
Author(s):  
M. Glück ◽  
P. Jimenez-Delgado ◽  
E. Reya
Keyword(s):  

1995 ◽  
Vol 67 (3) ◽  
pp. 433-447 ◽  
Author(s):  
M. Glück ◽  
E. Reya ◽  
A. Vogt
Keyword(s):  

2014 ◽  
Vol 29 (21) ◽  
pp. 1444014
Author(s):  
B. I. Ermolaev ◽  
M. Greco ◽  
S. I. Troyan

In the present paper we summarize our recent results on the structure function g1 and present explicit expressions for the nonsinglet and singlet components of g1, which can be also used at arbitrary x and Q2. These expressions combine the well-known DGLAP-results for the anomalous dimensions and coefficient functions with the total resummation of the leading logarithmic contributions and the shift of Q2 →Q2 + μ2. In contrast to DGLAP, these expressions do not require the introduction of singular parametrizations for the initial parton densities. We have also applied our results to describe the experimental data in the kinematic region of the COMPASS experiment, which is beyond the reach of DGLAP. For a more detailed review of our results see Ref. 1.


Author(s):  
Richard D. Ball ◽  
Valerio Bertone ◽  
Marco Bonvini ◽  
Simone Marzani ◽  
Juan Rojo ◽  
...  

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