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Related papers: Longitudinal structure function FL at small x extr…

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We study the heavy-quark contribution to the proton structure functions F_2^i(x,Q^2) and F_L^i(x,Q^2), with i=c,b, for small values of Bjorken's x variable at next-to-lading order and provide compact formulas for their ratios…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexey Yu. Illarionov , Bernd A. Kniehl , Anatoly V. Kotikov

The small x behaviour of the non-singlet structure function is studied within the double logarithmic approximation (DLA) of perturbative QCD. Since there is neither $k_T$ nor $\theta$ ordering in the ladder Feynman graphs, the predicted…

High Energy Physics - Phenomenology · Physics 2016-09-01 B. I. Ermolaev , S. I. Manayenkov , M. G. Ryskin

We make a critical, next-to-leading order, study of the relationship between the longitudinal structure function FL and the gluon distribution proposed in Cooper- Sarkar et al. (Z. Phys. C 39:281, 1988; Acta Phys. Pol. B 34:2911 2003),…

High Energy Physics - Phenomenology · Physics 2014-01-31 G. R. Boroun , B. Rezaei

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

Structure functions, as measured in lepton-nucleon scattering, have proven to be very useful in studying the quark dynamics within the nucleon. However, it is experimentally difficult to separately determine the longitudinal and transverse…

I present a full leading-order calculation of F_2(x,Q^2) and F_L(x,Q^2), including contributions not only from leading order in \alpha_s, but also from the leading power of \alpha_s for each order in ln(1/x). The calculation is ordered…

High Energy Physics - Phenomenology · Physics 2009-10-30 Robert S. Thorne

We report the results of including resummed splitting functions in the QCD evolution equations at small x, and discuss the predictions that follow for the deep inelastic structure functions. *Contribution at XXX Rencontres de Moriond, Les…

High Energy Physics - Phenomenology · Physics 2016-09-01 F. Hautmann

By using the concept of duality between direct channel resonances and Regge exchanges we relate the small- and large-$x$ behavior of the structure functions. We show that even a single resonance exhibits Bjorken scaling at large $Q^2$.

High Energy Physics - Phenomenology · Physics 2017-08-23 L. L. Jenkovszky , V. K. Magas

A recently published soft Regge Dipole Pomeron model intended for all $x$ and $Q^2$ is proved to give a good agreement with (non fitted) recent HERA data from ZEUS (SVX95) on the protonstructure function $F_2^p(x,Q^2)$ at low $Q^2$ and low…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Desgrolard , A. Lengyel , E. Martynov

For F, a finite extension of Q2, and E a quadratic extension of F, I compute the stabilizer in SL(2,F} of a point in the Bruhat-Tits tree of SL(2,E).

Number Theory · Mathematics 2013-04-23 Terence Joseph Kivran-Swaine

The spin-dependent structure functions g_2 (x, Q^2) are investigated within the framework of the chiral quark soliton model. It turns out that the twist-3 part of g_2 (x, Q^2) gives nonnegligible contributions to the total distributions at…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Wakamatsu

First attempts are described to determine the unintegrated Parton Density Function of the gluon from a fit to measurements of the structure function $F_2(x,Q^2)$ and also $F_2^c(x,Q^2)$ measured at HERA. Reasonable descriptions of both…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Jung , A. V. Kotikov , A. V. Lipatov , N. P. Zotov

The idea of the meson cloud approach in the chiral quark model has been extended to include gluon cloud in order to achieve the parton densities in the nucleon, based on the constitute quark framework. The splitting function of the quark to…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. Mirjalili , M. M. Yazdanpanah , F. Taghavi-Shahri , K. Ghorbani

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

A computer study is performed to estimate the influence of the small-$k_T$ region in the BFKL evolution equation. We consider the small-x region of the deep inelastic structure function $F_2$ and show that the magnitude of the small-$k_T$…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels , H. Lotter , M. Vogt

In this letter we derive the Froissart boundary in QCD for the deep inelastic structure function in low $x$ kinematic region. We show that the comparison of the Froissart boundary with the new HERA experimental data gives rise to a…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. L. Ayala , M. B. Gay Ducati , E. M. Levin

We present a calculation of the reduced cross section in momentum-space approach utilizing the Block-Durand-Ha (BDH) parameterization of the proton structure function $F_{2}(x,Q^2)$ and the leading-order (LO) longitudinal structure function…

High Energy Physics - Phenomenology · Physics 2025-02-12 G. R. Boroun , Phuoc Ha

We formulate quantitative flux-tube overlap functions to account for the nonperturbative gluonic behaviors. In order to deduce systematic functional form, we introduce connection amplitude which can be defined between two boundary points…

Nuclear Theory · Physics 2007-05-23 Jin Dong Kim , Su Kyoung Lee , Jong B. Choi

Deep inelastic scattering of leptons from hadrons at small values of the Bjorken parameter $x$ is studied from superstring theory. In particular, we focus on single-flavored scalar and vector mesons in the large $N$ limit. This is studied…

High Energy Physics - Theory · Physics 2015-05-20 Ezequiel Koile , Nicolas Kovensky , Martin Schvellinger

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