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Related papers: Gluon evolution at low $x$ and the longitudinal st…

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We make a critical study of the relationship between the singlet structure function $F_{2}^{S}$ and the gluon distribution $G(x,Q^{2})$ proposed in the past two decades, which is frequently used to extract the gluon distribution from the…

High Energy Physics - Phenomenology · Physics 2014-04-22 G. R. Boroun

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

A model for the longitudinal structure function $F_L$ in the region of low $x$ and low $Q^2$ is discussed. It is constructed using the $k_T$ factorization theorem and a photon-gluon fusion mechanism suitably extrapolated to the region of…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. M. Stasto

We argue that the use of the universal unintegrated gluon distribution and the $k_T$ (or high energy) factorization theorem provides the natural framework for describing observables at small x. We introduce a coupled pair of evolution…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , A. D. Martin , A. M. Stasto

The BFKL and the unified angular-ordered equations are solved to determine the gluon distribution at small $x$. The impact of kinematic constraints is investigated. Predictions are made for observables sensitive to the gluon at small $x$.…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Kwiecinski , A. D. Martin , P. J. Sutton

We investigate the gluon distribution in a proton at very low $x$, both integrated and transverse momentum dependent, using the Laplace transform technique. By accounting for leading and main next-to-leading contributions, we derive compact…

High Energy Physics - Phenomenology · Physics 2026-05-22 G. R. Boroun , Phuoc Ha , A. V. Kotikov , A. V. Lipatov

We derive an approximation approach to evolution of the longitudinal structure function, by using a Laplace-transform method. We solve the master equation and derive the longitudinal structure function as a function of the initial condition…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun

We calculate the one-loop twist-3 gluon contribution to the flavor-singlet structure function g_2(x,Q^2) in polarized deep-inelastic scattering and find that it is dominated by the contribution of the three-gluon operator with the lowest…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. M. Braun , G. P. Korchemsky , A. N. Manashov

Based on a solution of DGLAP evolution equations at small values of Bjorken variable x, a simple analytic approximation for so-called linearly polarized gluon density \tilde{h}_1^{\perp g}(x,k_t^2, Q^2) is obtained at LO of perturbation…

High Energy Physics - Phenomenology · Physics 2023-10-13 N. A. Abdulov , X. Chen , A. V. Kotikov , A. V. Lipatov

We review small $x$ contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido Altarelli , Richard D. Ball , Stefano Forte

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks…

High Energy Physics - Phenomenology · Physics 2008-11-26 Markus Diehl , Wolfgang Kugler

We recently derived an explicit expression for the gluon distribution function G(x, Q^2) = xg(x, Q^2) in terms of the proton structure function F_2^{\gamma p} (x, Q^2) in leading-order (LO) QCD by solving the the LO DGLAP equation for the…

High Energy Physics - Phenomenology · Physics 2010-03-25 Martin M. Block , Loyal Durand , Douglas W. McKay

We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F$_2$ and its derivative dF$_2$/dlnQ$^2$ at small x in the leading and next-to-leading order of perturbation theory. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , G. Parente

We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun , S. Zarrin

In this paper we have solved the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for gluon distribution function G(x,Q^2) and studied the effects of the nonlinear GLR-MQ corrections to the Leading Order (LO)…

High Energy Physics - Phenomenology · Physics 2014-02-24 Mayuri Devee , J. K. Sarma

The leading effect of light gluinos on the deep inelastic longitudinal structure function is calculated. We present the explicit analitic expression for the Wilson coefficient. After convolution with quark, gluon and gluino distributions we…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , G. Parente , O. A. Sampayo

The low $x$ behaviour of the gluon density $xg(x,\mu^2)$ at scale $\mu^2=2.4$ GeV$^2$ is determined using exclusive $J/\psi$ production data from HERA and LHCb within the framework of collinear factorisation at next-to-leading order (NLO).…

High Energy Physics - Phenomenology · Physics 2021-01-04 Chris A. Flett , Alan D. Martin , Misha G. Ryskin , Thomas Teubner

In this paper we make predictions for nondiagonal parton distributions in a proton in the LLA. We calculate the DGLAP-type evolution kernels in the LLA, solve the nondiagonal GLAP evolution equations with a modified version of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 L. L. Frankfurt , A. Freund , V. Guzey , M. Strikman

An exact expression for the leading-order (LO) gluon distribution function $G(x,Q^2)=xg(x,Q^2)$ from the DGLAP evolution equation for the proton structure function $F_2^{\gamma p}(x,Q^2)$ for deep inelastic $\gamma^* p$ scattering has…

High Energy Physics - Phenomenology · Physics 2010-01-06 Martin M. Block

We argue that the distribution functions for quarks and gluons are computable at small x for sufficiently large nuclei, perhaps larger than can be physically realized. For such nuclei, we argue that weak coupling methods may be used. We…

High Energy Physics - Phenomenology · Physics 2011-05-05 Larry McLerran , Raju Venugopalan