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Related papers: Unpolarized DIS structure functions in Double-Loga…

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We critically examine the QCD predictions for the $Q^2$ dependence of the electron-proton deep-inelastic structure function $F_2(x,Q^2)$ in the small $x$ region, which is being probed at HERA. The standard results based on next-to-leading…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. J. Askew , K. Golec , J. Kwiecinski , A. D. Martin , P. J. Sutton

We report an evaluation of subleading eigenvalues and eigenfunctions of the BFKL equation in the color dipole representation with a running gauge coupling. We present an expansion of the small-$x$ proton structure function $F_{2p}(x,Q^2)$…

High Energy Physics - Phenomenology · Physics 2009-10-30 Vladimir R. Zoller

We present a comprehensive study of high-energy double logarithms in inclusive DIS. They appear parametrically as alpha_s^n ln^{2n-k} x at the n-th order in perturbation theory in the splitting functions for the parton evolution and the…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. Davies , C. -H. Kom , S. Moch , A. Vogt

I review recent results by Fadin,Lipatov and collaborators and by our group,leading to the almost complete calculation of the next-to-leading BFKL kernel,of its eigenvalues,and of the resummed gluon anomalous dimension. Qualitative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcello Ciafaloni

The perturbative QCD predictions for the small $x$ behaviour of the nucleon structure functions $F_{2,L}(x,Q^2)$ and $g_1(x,Q^2)$ are summarized. The importance of the double logarithmic terms for the small $x$ behaviour of the spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We review the recent progress in the theory of diffractive DIS, focusing on predictions of strong breaking of the Ingelman-Schlein-Regge factorization and the related breaking of the GLDAP evolution for the diffractive structure function.

High Energy Physics - Phenomenology · Physics 2007-05-23 N. N. Nikolaev , B. G. Zakharov , .

The double logarithmic terms $\alpha_{s} \ln^{2}x $ are important to predict precisely the small $x$ behavior of the spin structure function $g_{1}$. We numerically analyze the evolution of the flavor non-singlet $g_{1}$ including the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuichiro Kiyo , Jiro Kodaira , Hiroshi Tochimura

We study experimentally observable signals for nonlinear QCD dynamics in deep inelastic scattering (DIS) at small Bjorken variable $x$ and moderate virtuality $Q^2$, by quantifying differences between the linear…

High Energy Physics - Phenomenology · Physics 2022-06-17 Nestor Armesto , Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

We present a new method for obtaining information on the small x behavior of the structure function F2 outside the kinematic range of present acelerators from the mean inelasticity parameter in UHE neutrino-nucleon DIS interactions which…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Castro Pena , G. Parente , E. Zas

The numerical effects of the known all-order leading and next-to-leading logarithmic small-$x$ contributions to the anomalous dimensions and coefficient functions of the unpolarized singlet evolution are discussed for the structure…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Blümlein , A. Vogt

On the basis of previous work by Fadin, Lipatov, and collaborators, and of our group, we extract the "irreducible" part of the next-to-leading (NL) BFKL kernel, we compute its (IR finite) eigenvalue function, and we discuss its implications…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni

The explicit expressions for the non-singlet and singlet components of the DIS structure function g_1 comprising the DGLAP -expressions for the coefficient functions and the anomalous dimensions, and accounting for the total resummation of…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. I. Ermolaev , M. Greco , S. I. Troyan

The structure function $g_1(x,Q^2)$ is analysed within the formalism based on unintegrated spin dependent parton distributions incorporating the LO Altarelli-Parisi evolution and the double $ln^2(1/x)$ resummation at low $x$. We…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , B. Ziaja

The asymptotic freedom is known to split the leading-$\log$ BFKL pomeron into a series of isolated poles in the complex angular momentum plane. One of our earlier findings was that the subleading hard BFKL exchanges decouple from such…

High Energy Physics - Phenomenology · Physics 2009-12-22 R. Fiore , N. N. Nikolaev , V. R. Zoller

We examine the behaviour of the polarised structure function data for g_1(x) in the region of small x (~0.01 to 0.1) for the various available targets (proton, neutron and deuteron) with the aim of clarifying what may be safely deduced with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mehrdad Goshtasbpour , Philip G. Ratcliffe

In the kinematic region of small $x$ and large $Q^2$ in deep inelastic scattering, presently being explored by HERA, we present an analysis of the evolution of the longitudinal structure function $F_L^{p}(x, Q^2)$ in the double scaling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tapobrata Sarkar , Rahul Basu

Nonsinglet structure function g_2(x) for deep inelastic scattering of a lepton on a constituent quark is calculated in the double logarithmic approximation at x<<1. Small-x asymptotics of g_2 is shown to have the same singular behaviour as…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. I. Ermolaev , S. I. Troyan

One of the well known effects of the asymptotic freedom is splitting of the leading-$\log$ BFKL pomeron into a series of isolated poles in complex angular momentum plane. Following our earlier works we explore the phenomenological…

High Energy Physics - Phenomenology · Physics 2010-04-30 N. N. Nikolaev , V. R. Zoller

I explicitly calculate the anomalous dimensions and splitting functions governing the Q^2 evolution of the parton densities and structure functions which result from the running coupling BFKL equation at LO, i.e. I perform a resummation in…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. S. Thorne

An alternative equation, resumming of the $\ln^2 1/x$ terms for the polarized nonsinglet structure function $g_1^{NS}$ at small $x$ is presented. Construction of the GLAP-like formula for the auxiliary function, corresponding to the…

High Energy Physics - Phenomenology · Physics 2011-03-17 Dorota Kotlorz , Andrzej Kotlorz