scholarly journals Small-x asymptotics of the quark helicity distribution: Analytic results

2017 ◽  
Vol 772 ◽  
pp. 136-140 ◽  
Author(s):  
Yuri V. Kovchegov ◽  
Daniel Pitonyak ◽  
Matthew D. Sievert
2018 ◽  
Vol 172 ◽  
pp. 03006
Author(s):  
Yuri V. Kovchegov ◽  
Daniel Pitonyak ◽  
Matthew D. Sievert

We determine the small-x asymptotics of the gluon helicity distribution in a proton at leading order in perturbative QCD at large Nc. To achieve this, we begin by evaluating the dipole gluon helicity TMD at small x. We then construct and solve novel small-x large-Nc evolution equations for the operator related to the dipole gluon helicity TMD. Our main result is the small-x asymptotics for the quark helicity distribution


2018 ◽  
Author(s):  
Yuri Kovchegov ◽  
Daniel Pitonyak ◽  
Matthew Sievert

2017 ◽  
Vol 2017 (10) ◽  
Author(s):  
Yuri V. Kovchegov ◽  
Daniel Pitonyak ◽  
Matthew D. Sievert

2009 ◽  
Author(s):  
Thomas Teubner ◽  
A.D. Martin ◽  
C. Nockles ◽  
M.G. Ryskin ◽  
A.G. Shuvaev
Keyword(s):  

1974 ◽  
Vol 113 (6) ◽  
pp. 360 ◽  
Author(s):  
O.M. Sumbaev ◽  
E.V. Petrovich ◽  
Yu.P. Smirnov ◽  
I.M. Band ◽  
Aleksandr I. Smirnov

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.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
B. I. Ermolaev ◽  
S. I. Troyan

Abstract We present calculation of FL in the double-logarithmic approximation (DLA) and demonstrate that the synergic effect of the factor 1/x from the $$ {\alpha}_s^2 $$ α s 2 -order and the steep x-dependence of the totally resummed double logarithmic contributions of higher orders ensures the power-like rise of FL at small x and arbitrary Q2.


1997 ◽  
Vol 286 (3) ◽  
pp. 131-198 ◽  
Author(s):  
L.N. Lipatov
Keyword(s):  

2004 ◽  
Vol 742 (1-2) ◽  
pp. 182-252 ◽  
Author(s):  
E. Iancu ◽  
K. Itakura ◽  
D.N. Triantafyllopoulos

2001 ◽  
Vol 607 (1-2) ◽  
pp. 431-432 ◽  
Author(s):  
G. Camici ◽  
M. Ciafaloni
Keyword(s):  

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