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In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based…

High Energy Physics - Phenomenology · Physics 2014-04-28 Akbari Jahan , D. K. Choudhury

By considering semi-inclusive deep-inelastic scattering and the (complementary) $q_T$-spectrum for Drell-Yan lepton pair production we derive the QCD evolution for all the leading-twist transverse momentum dependent distribution and…

High Energy Physics - Phenomenology · Physics 2014-07-10 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

The deuteron deep inelastic unpolarized structure function F_2^D is calculated using the Wilson operator product expansion method. The long distance behaviour, related to the deuteron bound state properties, is evaluated using the…

Nuclear Theory · Physics 2010-12-17 J. Paulo Pinto , A. Amorim , F. D. Santos

The $F_2$, $F_G$, $R = F_L/F_T$ proton structure functions are derived in the QCD dipole picture. Assuming $k_T$ and renormalization-group factorization, we relate deep-inelastic proton scattering to deep-inelastic onium scattering. We get…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon , S. Wallon

We present an introductory discussion of deep-inelastic lepton-proton scattering as a means to probe the substructure of the proton. A resume of QCD is given, emphasizing the running of the coupling constant and the DGLAP evolution…

High Energy Physics - Phenomenology · Physics 2010-03-25 Alan D. Martin

We study the sea quark contribution to the BFKL kernel in the framework of Mueller's dipole model using the results of our earlier calculation. We first obtain the BFKL equation with the running coupling constant. We observe that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri V. Kovchegov , Heribert Weigert

The longitudinal structure function in deep inelastic scattering is one of the observables from which the gluon distribution can be unfolded. Consequently, this observable can be used to constrain the QCD dynamics at small $x$. In this work…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. P. Goncalves , M. V. T. Machado

In this thesis we consider the polarized deep inelastic scattering in the region of low values of Bjorken variable, $x$. We formulate the evolution equations for the unintegrated parton distributions which include a complete resummation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ziaja

Nucleon structure functions, as measured in lepton-nucleon scattering, have historically provided a critical observable in the study of partonic dynamics within the nucleon. However, at very large parton momenta it is both experimentally…

High Energy Physics - Experiment · Physics 2025-07-30 Debaditya Biswas , Fernando Araiza Gonzalez , William Henry , Abishek Karki , Casey Morean , Sooriyaarachchilage Nadeeshani , Abel Sun , Daniel Abrams , Zafar Ahmed , Bashar Aljawrneh , Sheren Alsalmi , George Ambrose , Whitney Armstrong , Arshak Asaturyan , Kofi Assumin-Gyimah , Carlos Ayerbe Gayoso , Anashe Bandari , Samip Basnet , Vladimir Berdnikov , Hem Bhatt , Deepak Bhetuwal , Werner Boeglin , Peter Bosted , Edward Brash , Masroor Bukhari , Haoyu Chen , Jian-Ping Chen , Mingyu Chen , Michael Eric Christy , Silviu Covrig Dusa , Kayla Craycraft , Samuel Danagoulian , Donal Day , Markus Diefenthaler , Mongi Dlamini , James Dunne , Burcu Duran , Dipangkar Dutta , Rolf Ent , Rory Evans , Howard Fenker , Nadia Fomin , Eric Fuchey , David Gaskell , Thir Narayan Gautam , Jens-Ole Hansen , Florian Hauenstein , A. Hernandez , Tanja Horn , Garth Huber , Mark Jones , Sylvester Joosten , Md Latiful Kabir , Cynthia Keppel , Achyut Khanal , Paul King , Edward Kinney , Michael Kohl , Nathaniel Lashley-Colthirst , Shujie Li , Wenliang Li , Anusha Habarakada Liyanage , David Mack , Simona Malace , Pete Markowitz , John Matter , David Meekins , Robert Michaels , Arthur Mkrtchyan , Hamlet Mkrtchyan , Zae Moore , S. J. Nazeer , Shirsendu Nanda , Gabriel Niculescu , Maria Niculescu , Huong Nguyen , Nuruzzaman Nuruzzaman , Bishnu Pandey , Sanghwa Park , Eric Pooser , Andrew Puckett , Melanie Rehfuss , Joerg Reinhold , Bradley Sawatzky , G. Smith , Holly Szumila-Vance , Arun Tadepalli , Vardan Tadevosyan , Richard Trotta , Stephen Wood , Carlos Yero , Jinlong Zhang

We use the Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations, with "frozen" and analytic modifications of the strong coupling constant to study precise…

High Energy Physics - Phenomenology · Physics 2015-06-12 A. V. Kotikov , B. G. Shaikhatdenov

We perform a phenomenological study of helicity-dependent parton distribution functions (PDFs) using small-$x$ helicity evolution equations, incorporating for the first time single-inclusive jet production data in polarized proton-proton…

Measurements of the proton and deuteron $F_2$ structure functions are presented. The data, taken at Jefferson Lab Hall C, span the four-momentum transfer range $0.06 < Q^2 < 2.8$ GeV$^2$, and Bjorken $x$ values from 0.009 to 0.45, thus…

Recent evidence suggests that, at small Bjorken $x$, QCD evolution drives the proton into a state of maximal entanglement. If the evolution kernel is assumed to be conformally invariant -- as is the case for the…

High Energy Physics - Phenomenology · Physics 2026-05-26 Sebastian Grieninger , Kun Hao , Dmitri E. Kharzeev , Vladimir Korepin

An analytical study with respect to the nonlinear corrections for the nuclear gluon distribution function in the next-to-leading order approximation at small $x$ is presented. We consider the nonlinear corrections to the nuclear gluon…

High Energy Physics - Phenomenology · Physics 2024-02-08 G. R. Boroun , B. Rezaei , F. Abdi

Global fits for precision determinations of parton distributions, together with the highly correlated strong coupling $\alpha_s$, are presented up to next-to-next-to-leading order (NNLO) of QCD utilizing most world data (charm and jet…

High Energy Physics - Phenomenology · Physics 2014-05-23 Pedro Jimenez-Delgado , Ewald Reya

We discuss the interplay of low-x physics and QCD scaling violations by extending the unified approach describing inclusive structure functions and diffractive production in $\gamma* p$ interactions proposed in previous papers, to large…

High Energy Physics - Phenomenology · Physics 2013-05-29 Nestor Armesto , Alexei B. Kaidalov , Carlos A. Salgado , Konrad Tywoniuk

We present a global fit to HERA data on the reduced cross section measured in electron-proton collisions in the region of small Bjorken-$x$: $x\le x_0=10^{-2}$ and moderate to high values of the virtuality $Q^2<Q^2_{max}=650$ GeV$^2$. The…

High Energy Physics - Phenomenology · Physics 2015-07-28 Javier L. Albacete

We show that the Balitsky-JIMWLK equations proposed to describe non-linear evolution in QCD at high energy fail to include the effects of fluctuations in the gluon number, and thus to correctly describe both the low density regime and the…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

The ratio g1/F1 has been measured over the range 0.03<x<0.6 and 0.3<Q2<10 (GeV/c)2 using deep-inelastic scattering of polarized electrons from polarized protons and deuterons. We find g1/F1 to be consistent with no Q2-dependence at fixed x…

High Energy Physics - Experiment · Physics 2008-11-26 The E143 Collaboration , K. Abe et al

We propose a stochastic particle model in (1+1)-dimensions, with one dimension corresponding to rapidity and the other one to the transverse size of a dipole in QCD, which mimics high-energy evolution and scattering in QCD in the presence…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , J. T. de Santana Amaral , G. Soyez , D. N. Triantafyllopoulos
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