High-Energy Inelastic Scattering of Electrons in Perturbation Theory

1969 ◽  
Vol 185 (5) ◽  
pp. 1748-1753 ◽  
Author(s):  
R. Jackiw ◽  
G. Preparata
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
High Energy

scholarly journals Saturation effects in SIDIS at very forward rapidities

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
E. Iancu ◽  
A. H. Mueller ◽  
D. N. Triantafyllopoulos ◽  
S. Y. Wei
Keyword(s):  
Inelastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Virtual Photon ◽  
Large Fraction ◽  
Quark Distribution ◽  
High Energy ◽  
Longitudinal Momentum ◽  
Black Disk ◽  
Gluon Saturation

Abstract Using the dipole picture for electron-nucleus deep inelastic scattering at small Bjorken x, we study the effects of gluon saturation in the nuclear target on the cross-section for SIDIS (single inclusive hadron, or jet, production). We argue that the sensitivity of this process to gluon saturation can be enhanced by tagging on a hadron (or jet) which carries a large fraction z ≃ 1 of the longitudinal momentum of the virtual photon. This opens the possibility to study gluon saturation in relatively hard processes, where the virtuality Q2 is (much) larger than the target saturation momentum $$ {Q}_s^2 $$ Q s 2 , but such that z(1 − z)Q2 ≲ $$ {Q}_s^2 $$ Q s 2 . Working in the limit z(1 − z)Q2 ≪ $$ {Q}_s^2 $$ Q s 2 , we predict new phenomena which would signal saturation in the SIDIS cross-section. For sufficiently low transverse momenta k⊥ ≪ Qs of the produced particle, the dominant contribution comes from elastic scattering in the black disk limit, which exposes the unintegrated quark distribution in the virtual photon. For larger momenta k⊥ ≳ Qs, inelastic collisions take the leading role. They explore gluon saturation via multiple scattering, leading to a Gaussian distribution in k⊥ centred around Qs. When z(1 − z)Q2 ≪ Q2, this results in a Cronin peak in the nuclear modification factor (the RpA ratio) at moderate values of x. With decreasing x, this peak is washed out by the high-energy evolution and replaced by nuclear suppression (RpA< 1) up to large momenta k⊥ ≫ Qs. Still for z(1 − z)Q2 ≪ $$ {Q}_s^2 $$ Q s 2 , we also compute SIDIS cross-sections integrated over k⊥. We find that both elastic and inelastic scattering are controlled by the black disk limit, so they yield similar contributions, of zeroth order in the QCD coupling.

HIGH ENERGY LIMIT IN QCD

2011 ◽  
Vol 26 (09) ◽  
pp. 603-623
Author(s):  
ANNA M. STASTO
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Ion Collisions ◽  
Small X

We briefly review some selected topics in the small x physics. In particular, we discuss the progress in the problem related to the resummation at small x and the parton saturation phenomena. Finally we discuss some phenomenological applications to deep inelastic scattering, hadron and heavy ion collisions.

Perturbation theory at high energy

1967 ◽  
Vol 52 (1) ◽  
pp. 210-223
Author(s):  
L. M. Brown ◽  
Ik-Ju Kang
Keyword(s):  
Perturbation Theory ◽  
High Energy

scholarly journals CRITICAL PHENOMENA IN DEEP INELASTIC SCATTERING

2010 ◽  
Vol 25 (31) ◽  
pp. 5667-5682 ◽  
Author(s):  
L. L. JENKOVSZKY ◽  
ANDREA NAGY ◽  
S. M. TROSHIN ◽  
JOLÁN TURÓCI ◽  
N. E. TYURIN
Keyword(s):  
Phase Transition ◽  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Deeply Virtual Compton Scattering ◽  
Virtual Compton Scattering ◽  
Heavy Ion ◽  
High Energy ◽  
Ion Collisions ◽  
Bjorken X ◽  
Insight Into

Saturation in deep inelastic scattering and deeply virtual Compton scattering is associated with a phase transition between the partonic gas, typical of moderate x and Q2, and partonic fluid appearing at increasing Q2 and decreasing Bjorken x. In this paper we do not intend to propose another parametrization of the structure function; instead we suggest a new insight into the internal structure of the nucleon, as seen in deep inelastic scattering, and its connection with that revealed in high-energy nucleons and heavy-ion collisions.

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