scholarly journals Particle Production at High Energy: DGLAP, BFKL and Beyond

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 64 ◽  
Author(s):  
Jamal Jalilian-Marian
Keyword(s):  
Evolution Equation ◽  
Particle Production ◽  
Evolution Equations ◽  
High Energy ◽  
Color Glass ◽  
Collinear Factorization ◽  
Perturbative Quantum Chromodynamics ◽  
Nuclear Collisions ◽  
Perturbative Quantum ◽  
Regge Limit

Particle production in high energy hadronic/nuclear collisions in the Bjorken limit Q 2 , s → ∞ can be described in the collinear factorization framework of perturbative Quantum ChromoDynamics (QCD). On the other hand in the Regge limit, at fixed and not too high Q 2 with s → ∞ , a k ⊥ factorization approach (or a generalization of it) is the appropriate framework. A new effective action approach to QCD in the Regge limit, known as the Color Glass Condensate (CGC) formalism, has been developed which allows one to investigate particle production in high energy collisions in the kinematics where collinear factorization breaks down. Here we give a brief overview of particle production in CGC framework and the evolution equation which governs energy dependence of the observables in this formalism. We show that the new evolution equation reduces to previously known evolution equations in the appropriate limits.

Possibility of H-particle production in high-energy nuclear collisions

1989 ◽  
Vol 224 (4) ◽  
pp. 359-363 ◽  
Author(s):  
M. Sano ◽  
M. Wakai ◽  
H. Bandō
Keyword(s):  
Particle Production ◽  
High Energy ◽  
Nuclear Collisions

Smallx EVOLUTION OF MULTI-POINT CORRELATORS OF WILSON LINES

2011 ◽  
Vol 04 ◽  
pp. 20-25
Author(s):  
JAMAL JALILIAN-MARIAN
Keyword(s):  
Evolution Equation ◽  
Evolution Equations ◽  
Scattering Amplitude ◽  
High Energy ◽  
Point Function ◽  
Forward Scattering Amplitude ◽  
Angular Correlations ◽  
Small X ◽  
Dipole Scattering ◽  
Inclusive Processes

At high energy (small x) n-point coorelators of Wilson lines appear in calculation of physical observables. The energy dependence of these observables is determined by the solution of the evolution equations these correlators satisfy. The most common correlator is the two-point function, the imaginary part of the forward scattering amplitude of a quark anti-quark dipole scattering on a target. This appears in structure functions in DIS as well as single inclusive hadron production in proton-nucleus collisions. Higher point correlators of Wilson lines appear in less inclusive processes, such as two-hadron angular and rapidity correlations and satisfy the Balitski-JIMWLK evolution equation. Here we derive the evolution equation satisfied by the six point correlator of Wilson lines which appears in di-hadron angular correlations in proton-nucleus collisions at high energy.

scholarly journals Parton Distributions in Nucleons and Nuclei

2020 ◽  
Vol 70 (1) ◽  
pp. 43-76 ◽  
Author(s):  
Jacob J. Ethier ◽  
Emanuele R. Nocera
Keyword(s):  
Parton Distribution Function ◽  
High Energy ◽  
Experimental Information ◽  
Current Status ◽  
Future Directions ◽  
Perturbative Quantum Chromodynamics ◽  
Polarized Protons ◽  
Accuracy And Precision ◽  
Perturbative Quantum ◽  
Methodological Aspects

We review the current status of parton distribution function (PDF) determinations for unpolarized and longitudinally polarized protons and for unpolarized nuclei, which are probed by high-energy hadronic scattering in perturbative quantum chromodynamics (QCD). We present the established theoretical framework, the experimental information, and the methodological aspects inherent to any modern PDF extraction. Furthermore, we summarize the present knowledge of PDFs and discuss their limitations in both accuracy and precision relevant to advancing our understanding of QCD proton substructure and pursuing our quest for precision in the Standard Model and beyond. In this respect, we highlight various achievements, discuss contemporary issues in PDF analyses, and outline future directions of progress.

Limitations of applicability of perturbative quantum chromodynamics in very-high-energy hadron collisions

1981 ◽  
Vol 24 (1) ◽  
pp. 172-176
Author(s):  
N. G. Antoniou ◽  
C. Chiou-Lahanas ◽  
A. I. Karanikas ◽  
S. D. P. Vlassopulos
Keyword(s):  
Quantum Chromodynamics ◽  
High Energy ◽  
Perturbative Quantum Chromodynamics ◽  
Very High Energy ◽  
Perturbative Quantum ◽  
Energy Hadron ◽  
Very High

scholarly journals Forward particle production in proton-nucleus collisions at next-to-leading order

2018 ◽  
Vol 192 ◽  
pp. 00014
Author(s):  
D.N. Triantafyllopoulos
Keyword(s):  
Cross Section ◽  
Particle Production ◽  
Eikonal Approximation ◽  
High Energy ◽  
Fine Tuning ◽  
Color Glass ◽  
Leading Order ◽  
Energy Evolution ◽  
The Impact ◽  
Correct Size

We consider the next-to-leading order (NLO) calculation of single inclusive particle production at forward rapidities in proton-nucleus collisions and in the framework of the Color Glass Condensate (CGC). We focus on the quark channel and the corrections associated with the impact factor. In the first step of the evolution the kinematics of the emitted gluon is kept exactly (and not in the eikonal approximation), but such a treatment which includes NLO corrections is not explicitly separated from the high energy evolution. Thus, in this newly established “factorization scheme”, there is no “rapidity subtraction”. The latter suffers from fine tuning issues and eventually leads to an unphysical (negative) cross section. On the contrary, our reorganization of the perturbation theory leads by definition to a well-defined cross section and the numerical evaluation of the NLO correction is shown to have the correct size.

scholarly journals PERTURBATIVE QCD AT HIGH ENERGY COLLIDERS

2008 ◽  
Vol 17 (05) ◽  
pp. 870-890 ◽  
Author(s):  
RICHARD J. GONSALVES
Keyword(s):  
Standard Model ◽  
Quantum Chromodynamics ◽  
Perturbative Qcd ◽  
High Energy ◽  
Perturbative Quantum Chromodynamics ◽  
The Standard Model ◽  
Perturbative Quantum

Selected applications of perturbative Quantum chromodynamics (QCD) to predictions of the Standard Model for processes at high energy colliders are reviewed with emphasis on past successes and future problems.

scholarly journals Comparing Two Different Initial Conditions AAMQS and Quartic Action in Illustrating the Effect of Valence Color Charges in High-EnergypACollisions at Forward Rapidity

2013 ◽  
Vol 2013 ◽  
pp. 1-14
Author(s):  
Ye-Yin Zhao ◽  
Ya-Hui Chen ◽  
Ya-Qin Gao ◽  
Fu-Hu Liu
Keyword(s):  
Particle Production ◽  
Initial Conditions ◽  
Hadron Collider ◽  
Heavy Ion ◽  
High Energy ◽  
Color Glass ◽  
Forward Rapidity ◽  
Relativistic Heavy Ion Collider ◽  
Proton Proton ◽  
Running Coupling

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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