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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

The deep inelastic scattering data on the nucleon F_2 structure function, accumulated by BCDMS, SLAC and NMC collaborations in fixed-target experiments, are analyzed in the non-singlet approximation within the frameworks of both…

High Energy Physics - Phenomenology · Physics 2024-03-21 A. V. Kotikov , B. G. Shaikhatdenov , N. S. Korchagin , P. Zhang

The nonlinear Balitsky-Kovchegov equation at small x is solved numerically, incorporating impact parameter dependence. Confinement is modeled by including effective gluon mass in the dipole evolution kernel, which regulates the splitting of…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jeffrey Berger , Anna M. Stasto

We present the results of an analytic next--to--next--to leading order QCD calculation of the non--singlet anomalous dimension $\gamma_{\rm NS}^+(N)$ and the coefficient functions $C_{2,L}(N)$ associated to the deeply inelastic structure…

High Energy Physics - Phenomenology · Physics 2010-04-05 J. Blümlein , J. A. M. Vermaseren

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We compute the gluon distribution in deep inelastic scattering at small x by solving numerically the angular ordering evolution equation. The leading order contribution, obtained by neglecting angular ordering, satisfies the BFKL equation.…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Bottazzi , G. Marchesini , G. P. Salam , M. Scorletti

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

In the leading twist approximation of the Wilson operator product expansion with standard and "frozen" versions of strong copling constant we show that the Bessel-inspired behavior of the structure function $F_2$ at small $x$, obtained for…

High Energy Physics - Phenomenology · Physics 2008-12-31 A. Yu. Illarionov , A. V. Kotikov

The Pauli exclusion principle is advocated for constructing the proton and neutron deep inelastic structure functions in terms of Fermi-Dirac distributions that we parametrize with very few parameters. It allows a fair description of the…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. Bourrely , J. Soffer

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

A summary of the experimental and theoretical presentations in the Structure Function Working Group on the proton and photon unpolarized structure functions is given.

High Energy Physics - Phenomenology · Physics 2010-11-30 V. Chekelian , A. M. Cooper-Sarkar , R. Thorne

In this paper the spin-dependent singlet and non-singlet structure functions have been obtained by solving Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations in next-to-leading order in the small x limit. Here we have used…

High Energy Physics - Phenomenology · Physics 2010-02-09 R. Rajkhowa , U. Jamil , J. K. Sarma

Using data from a recent reanalysis of neutron structure functions extracted from inclusive proton and deuteron deep-inelastic scattering (DIS), we re-examine the constraints on the shape of the $\bar d-\bar u$ asymmetry in the proton at…

High Energy Physics - Phenomenology · Physics 2020-01-31 A. Accardi , C. E. Keppel , S. Li , W. Melnitchouk , J. F. Owens

We study quantitatively the importance of the recently derived NLO corrections to the DIS structure functions at small x in the dipole formalism. We show that these corrections can be significant and depend on the factorization scheme used…

High Energy Physics - Phenomenology · Physics 2017-11-29 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

We extend the results of Lappi {\em et al.}, Eur.~Phys.~J.~C {\bf 84}, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions $F_L$, $F_S$ and $G$ in deep inelastic…

High Energy Physics - Phenomenology · Physics 2026-05-12 G. R. Boroun , Loyal Durand , Phuoc Ha

We calculate the unpolarised deep inelastic structure function of a relativistic deuteron within a covariant framework. An exact treatment of nucleon off-shell effects is shown to give corrections to the widely-used convolution model, even…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Schreiber , A. W. Thomas

The low $x$ limit of deep inelastic electron proton scattering is considered using methods of perturbative QCD. In the first part we investigate the phenomenological consequences of the resummation of leading logarithms in $1/x$ given by…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Lotter

The proton structure function F2 is studied in the low x regime using BFKL evolution. The next to leading logarithmic (NLL) analysis requires the inclusion of running coupling effects which lead to off-diagonal terms in the evolution…

High Energy Physics - Phenomenology · Physics 2012-06-12 M. Hentschinski , A. Sabio Vera , C. Salas

We critically analyse the data available on the reduced cross-section in deeply inelastic $e p$ scattering from the H1 collaboration at HERA. We use available data on the longitudinal structure function to deduce the nature of $\d F_2/\d\ln…

High Energy Physics - Phenomenology · Physics 2009-10-31 Rahul Basu , D. Indumathi

This talks examines the effect of angular ordering on the small-x evolution of the unintegrated gluon distribution, and discusses the characteristic function for the CCFM equation.

High Energy Physics - Phenomenology · Physics 2009-10-30 G. P. Salam