Gluon distribution and $dF_2/d$ ln $Q^2$ at small $x$ in the next-to-leading order

1998 ◽  
Vol 2 (2) ◽  
pp. 301-305 ◽  
Author(s):  
D.K. Choudhury ◽  
Ranjita Deka ◽  
A. Saikia
Keyword(s):  
Gluon Distribution ◽  
Leading Order ◽  
Small X

THE NLO INCLUSIVE FORWARD HADRON PRODUCTION IN pA COLLISIONS

2012 ◽  
Vol 20 ◽  
pp. 208-213
Author(s):  
GIOVANNI CHIRILLI ◽  
BO-WEN XIAO ◽  
FENG YUAN
Keyword(s):  
Parton Distribution ◽  
Gluon Distribution ◽  
Hadron Production ◽  
Coordinate Space ◽  
Coefficient Function ◽  
Leading Order ◽  
Final State ◽  
Final State Hadron ◽  
Small X ◽  
The One

Recently, by performing the complete next-to-leading order calculation, we have demonstrated the one-loop factorization for inclusive hadron productions in pA collisions in the saturation formalism. The differential cross section is written into a factorization form in the coordinate space at the next-to-leading order, while the naive form of the convolution in the transverse momentum space does not hold. The rapidity divergence with small-x dipole gluon distribution of the nucleus is factorized into the energy evolution of the dipole gluon distribution function, which is known as the Balitsky-Kovchegov equation. Furthermore, the collinear divergences associated with the incoming parton distribution of the nucleon and the outgoing fragmentation function of the final state hadron are factorized into the splittings of the associated parton distribution and fragmentation functions, which allows us to reproduce the well-known DGLAP equation. The hard coefficient function, which is finite and free of divergence of any kind, is evaluated at one-loop order. This result is important, not only for the phenomenological applications to the inclusive hadron production in p-A collisions at RHIC and future LHC experiment, but also for theoretically promoting the rigorous developments towards a complete QCD factorization in small-x physics.

scholarly journals Cronin effect and high- suppression in the nuclear gluon distribution at small x

2004 ◽  
Vol 742 (1-2) ◽  
pp. 182-252 ◽  
Author(s):  
E. Iancu ◽  
K. Itakura ◽  
D.N. Triantafyllopoulos
Keyword(s):  
Gluon Distribution ◽  
Cronin Effect ◽  
Small X ◽  
Nuclear Gluon

scholarly journals HARD-POMERON BEHAVIOR OF THE LONGITUDINAL STRUCTURE FUNCTION FL IN THE NEXT-TO-LEADING ORDER AT LOW x

2009 ◽  
Vol 18 (01) ◽  
pp. 131-140 ◽  
Author(s):  
G. R. BOROUN
Keyword(s):  
Perturbation Theory ◽  
Structure Function ◽  
Perturbative Qcd ◽  
Gluon Distribution ◽  
Analytic Formula ◽  
Leading Order ◽  
Longitudinal Structure ◽  
Longitudinal Structure Function ◽  
Low X

We present an analytic formula to extract the longitudinal structure function in the next-to-leading order of the perturbation theory at low x, from the Regge-like behavior of the gluon distribution and the structure function at this limit. In this approach, the longitudinal structure function has the hard-Pomeron behavior. The determined values are compared with the H1 data and MRST model. All results can consistently be described within the framework of perturbative QCD, which essentially show increases as x decreases.

scholarly journals On the small-x evolution of the color quadrupole and the Weizsäcker–Williams gluon distribution

2011 ◽  
Vol 705 (1-2) ◽  
pp. 106-111 ◽  
Author(s):  
Fabio Dominguez ◽  
A.H. Mueller ◽  
Stéphane Munier ◽  
Bo-Wen Xiao
Keyword(s):  
Gluon Distribution ◽  
Small X

NLO EVOLUTION OF STRUCTURE FUNCTIONS AT SMALL x

2011 ◽  
Vol 04 ◽  
pp. 46-55
Author(s):  
GIOVANNI ANTONIO CHIRILLI
Keyword(s):  
Impact Factor ◽  
Energy Operator ◽  
High Energy ◽  
Structure Functions ◽  
Coordinate Space ◽  
Operator Product ◽  
Leading Order ◽  
Small X ◽  
Evolution Of Structure ◽  
First Time

Using the high-energy Operator Product Expansion of the T-product of two electromagnetic currents, we calculate the Photon Impact Factor for Deep Inelastic Scattering at small value of the Bjorken variable x B at the next-to-leading order (NLO) accuracy in αs. We provide for the first time an analytic expression in coordinate space and in Mellin space of the NLO impact factor for the forward unpolarized structure functions.

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