scholarly journals Running coupling corrections to high energy inclusive gluon production

2011 ◽  
Vol 849 (1) ◽  
pp. 72-97 ◽  
Author(s):  
W.A. Horowitz ◽  
Yuri V. Kovchegov
2015 ◽  
Vol 30 (36) ◽  
pp. 1550217
Author(s):  
A. I. Ahmadov ◽  
C. Aydin ◽  
R. Myrzakulov ◽  
O. Uzun

We calculate the contribution of the higher-twist Feynman diagrams to the large-[Formula: see text] inclusive gluon production cross-section in [Formula: see text] collisions in case of the running coupling and frozen coupling approaches within perturbative and holographic QCD. The structure of infrared renormalon singularities of the higher-twist subprocess cross-section is obtained and the resummed higher-twist cross-sections (Borel sum) with the ones obtained in the framework of the frozen coupling approach and leading-twist cross-section are compared and analyzed.


1989 ◽  
Vol 04 (13) ◽  
pp. 3147-3162 ◽  
Author(s):  
B.I. ERMOLAEV ◽  
L.N. LIPATOV

A factorization method is used for the investigation of gluon bremsstrahlung in the quark-antiquark backward scattering. The differential equations for scattering amplitudes are obtained in a double-logarithmic approximation. These equations are solved for some cases of interest.


2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Salvatore Calì ◽  
Krzysztof Cichy ◽  
Piotr Korcyl ◽  
Piotr Kotko ◽  
Krzysztof Kutak ◽  
...  

AbstractIn the high energy limit of hadron collisions, the evolution of the gluon density in the longitudinal momentum fraction can be deduced from the Balitsky hierarchy of equations or, equivalently, from the nonlinear Jalilian–Marian–Iancu–McLerran–Weigert–Leonidov–Kovner (JIMWLK) equation. The solutions of the latter can be studied numerically by using its reformulation in terms of a Langevin equation. In this paper, we present a comprehensive study of systematic effects associated with the numerical framework, in particular the ones related to the inclusion of the running coupling. We consider three proposed ways in which the running of the coupling constant can be included: “square root” and “noise” prescriptions and the recent proposal by Hatta and Iancu. We implement them both in position and momentum spaces and we investigate and quantify the differences in the resulting evolved gluon distributions. We find that the systematic differences associated with the implementation technicalities can be of a similar magnitude as differences in running coupling prescriptions in some cases, or much smaller in other cases.


2007 ◽  
Vol 16 (09) ◽  
pp. 2595-2637 ◽  
Author(s):  
FRANÇOIS GELIS ◽  
TUOMAS LAPPI ◽  
RAJU VENUGOPALAN

In this series of three lectures, we discuss several aspects of high energy scattering among hadrons in Quantum Chromodynamics. The first lecture is devoted to a description of the parton model, Bjorken scaling and the scaling violations due to the evolution of parton distributions with the transverse resolution scale. The second lecture describes parton evolution at small momentum fraction x, the phenomenon of gluon saturation and the Color Glass Condensate (CGC). In the third lecture, we present the application of the CGC to the study of high energy hadronic collisions, with emphasis on nucleus-nucleus collisions. In particular, we provide the outline of a proof of high energy factorization for inclusive gluon production.


2013 ◽  
Vol 2013 ◽  
pp. 1-14
Author(s):  
Ye-Yin Zhao ◽  
Ya-Hui Chen ◽  
Ya-Qin Gao ◽  
Fu-Hu Liu

The inclusive particle productions in proton-proton (pp) and deuton-gold (d+Au) collisions at forward rapidity at the Relativistic Heavy Ion Collider (RHIC) energy are studied in the framework of the color glass condensate (CGC) theory by using two different initial conditions: AAMQS (Albacete-Armesto-Milhano-Quiroga-Salgado) and quartic action. Then, the results obtained by the two different initial conditions in illustrating the effect of valence color charges in high-energy proton-nucleus (pA) collisions at forward energy are compared. Meanwhile, the inclusive particle productions inpAcollisions at forward rapidity at the Large Hadron Collider (LHC) energies are predicted. The main dynamical input in our calculations is the use of solutions of the running coupling Balitsky-Kovchegov equation tested in electron-proton (ep) collision data. Particle production is computed via the hybrid formalisms to obtain spectra and yields. These baseline predictions are useful for testing the current understanding of the dynamics of very strong color fields against the upcoming LHC data.


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