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Related papers: Small $x$ Contributions to the Structure Function …

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Theoretical expectations concerning small $x$ behaviour of the spin dependent structure function $g_1$ are summarised. This includes discussion of the Regge pole model predictions and of the double $ln^2(1/x)$ effects implied by…

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

The Mellin-transforms of the next-to-leading order Wilson coefficients of the longitudinal structure function are evaluated.

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Blümlein , S. Kurth

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

We study the heavy-quark contributions to the proton structure function F2(x,Q2) at next-to-leading order using compact formulas at small values of Bjorken's x variable. The formulas provide a good agreement with the modern HERA data for…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. Yu. Illarionov , A. V. Kotikov

We investigate the dependence of the deep inelastic proton structure function $F_L(x, Q^2)$ on different forms of the transverse momentum dependent (TMD, or unintegrated) gluon distribution. We present a comparison of theoretical results…

High Energy Physics - Phenomenology · Physics 2023-01-25 Lipatov A. V. , Lykasov G. I. , Malyshev M. A

Using the recently obtained Pgq splitting function we extend the low x evolution equation for gluons to account for contributions originating from quark-to-gluon splitting. In order to write down a consistent equation we resum virtual…

High Energy Physics - Phenomenology · Physics 2016-12-21 M. Hentschinski , A. Kusina , K. Kutak

We present a simple physical description of the off-diagonal gluon distribution g (x,x^\prime,Q^2) and splitting function P_{gg}(x,x^\prime) which enter the amplitude for diffractive vector meson production. We study the off-diagonal…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. D. Martin , M. G. Ryskin

The pion and kaon electromagnetic form factors $F_{M}(Q^2)$ are calculated at the leading order of pQCD using the running coupling constant method. In computations dependence of the meson distribution amplitudes on the hard scale $Q^2$ is…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. S. Agaev

Polarized structure functions at low $Q^2$ have the physical interpretation of (generalized) spin polarizabilities. At high $Q^2$, the polarized parton distribution $g_2(x)$ provides access to quark-gluon correlations in the nucleon. We…

High Energy Physics - Phenomenology · Physics 2009-05-27 Matthias Burkardt

We describe the determination of the heavy quarks structure functions $F_{2,L}^{\mathcal{Q}\bar{\mathcal{Q}}}$ with help of the scaling properties. We observe that the structure functions for inclusive charm and bottom production exhibits…

High Energy Physics - Phenomenology · Physics 2022-11-08 G. R. Boroun

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

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 consider in detail the Q^2 -dependence of the DIS structure functions, with Q being the virtual photon momentum. Quite often this dependence is claimed to be originated by the Q^2-dependence of the QCD coupling. This leads to the small-x…

High Energy Physics - Phenomenology · Physics 2015-06-12 B. I. Ermolaev , M. Greco , S. I. Troyan

We investigate the impact of so called kinematic constraint on gluon evolution at small $x$. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integro-differential form of BFKL equation. Later we…

High Energy Physics - Phenomenology · Physics 2020-04-22 P. Phukan , M. Lalune , J. K. Sarma

We analyze the perturbative and parametric stability of the QCD predictions for the Callan-Gross ratio $R(x,Q^2)=F_L/F_T$ in heavy-quark leptoproduction. We consider the radiative corrections to the dominant photon-gluon fusion mechanism.…

High Energy Physics - Phenomenology · Physics 2009-03-24 N. Ya. Ivanov , B. A. Kniehl

This talk reviews some recent results on the NLL resummed small-x gluon splitting function, as determined including renormalisation-group improvements. It also discusses the observation that the LO, NLO, NNLO, etc. hierarchy for the gluon…

High Energy Physics - Phenomenology · Physics 2009-11-10 Gavin P. Salam

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

Using the generalized Lipatov-Altarelli-Parisi-Dokshitzer equations for the two-parton distribution functions we show numerically that the dynamical correlations contribute to these functions quite a lot in comparison with the factorized…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. L. Korotkikh , A. M. Snigirev

We study a new $K\rightarrow\pi\pi$ decay channel with gluons in intermediate state which is normally neglected within the factorization framework. Both short-distance and long-distance parts of the amplitude are calculated. The chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. A. Penin , A. A. Pivovarov

We compute the contribution of classical fields to the second Fourier coefficient (v_2) of the azimuthal gluon distribution at large transverse momentum in heavy ion collisions. We find that the classical contribution to the flow alone…

High Energy Physics - Phenomenology · Physics 2010-11-30 Derek Teaney , Raju Venugopalan