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The gluon distribution of a nucleon propagating through a nucleus can change depending on how far the penetration depth is. It is a nonperturbative process that we describe by an evolution equation. The kernel of the integral equation is to…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. C. Hwa

The GLR-MQ equation is a nonlinear evolution equation that takes into account the shadowing effect, which tames the growth of the gluon at small-$x$. In this study, we analytically solve for the first time the nonlinear GLR-MQ equation…

High Energy Physics - Phenomenology · Physics 2024-01-30 Yanbing Cai , Xiaopeng Wang , Xurong Chen

Using the recently proposed $gg\eta'$ effective vertex, we investigate the production of $\eta'$ from gluon fusion in polarized pp collisions. We show that by measuring $A_{LL}$ in $\eta'$ production, one can extract the polarized gluon…

High Energy Physics - Phenomenology · Physics 2009-11-07 Sangyong Jeon , Jamal Jalilian-Marian

We present particular and unique solutions of Dokshitzer- Gribov- Lipatov- Altarelli-Parisi (DGLAP) evolution equation for gluon structure function in leading order (LO) and obtain t and x-evolutions of gluon structure function at small-x.…

High Energy Physics - Phenomenology · Physics 2012-09-20 R. Rajkhowa , J. K. Sarma

I present a simplified model for the gluon Green's function governing high-energy QCD dynamics, in arbitrary space-time dimensions. The BFKL integral equation (either with or without running coupling) reduces to a second order differential…

High Energy Physics - Phenomenology · Physics 2009-02-18 Dimitri Colferai

We derive analytical results for unintegrated color dipole gluon distribution function at small transverse momentum. By Fourier transforming the $S$-matrix for large dipoles we derive the results in the form of a series of Bells…

High Energy Physics - Phenomenology · Physics 2018-03-21 Raktim Abir , Khatiza Banu , Trambak Bhattacharyya , Mariyah Siddiqah , Nahid Vasim

The MLLA single inclusive distribution inside one high energy (gluon) jet at small x is estimated by the steepest descent method. Its analytical expression is obtained outside the "limiting spectrum". It is then used to evaluate 2-particle…

High Energy Physics - Phenomenology · Physics 2009-11-11 Redamy Perez Ramos

Kwiecinski, Martin, Stasto [13] argue for inclusion of DGLAP terms into BFKL evolution of unintegrated gluon density. The equation was reformulated by Oliveira, Martin, Ryskin [6] employing the opening angle {\theta} = k/xp as the evolution…

High Energy Physics - Phenomenology · Physics 2015-03-11 Dawid Toton

Based on both the constituent quark picture and the instanton model for QCD vacuum, we calculate the unpolarized and polarized gluon distributions in the constituent quark and in the nucleon. Our approach consists of the two main steps. At…

High Energy Physics - Phenomenology · Physics 2016-05-04 Nikolai Kochelev , Hee-Jung Lee , Baiyang Zhang , Pengming Zhang

In the present article, two analytical solutions based on the Laplace transforms method for the linear and non-linear gluon distribution functions have been presented at low values of $x$. These linear and non-linear methods are presented…

High Energy Physics - Phenomenology · Physics 2022-04-19 G. R. Boroun

Within the basis light-front quantization (BLFQ) framework, we evaluate the gluon chiral-odd generalized parton distributions (GPDs) inside the proton at zero skewness. We employ the light-front wave functions of the proton obtained from a…

High Energy Physics - Phenomenology · Physics 2024-08-20 Bolang Lin , Sreeraj Nair , Chandan Mondal , Siqi Xu , Zhi Hu , Pengxiang Zhang , Xingbo Zhao , James P. Vary

We propose a system of evolution equations that describe in-medium time-evolution of transverse-momentum-dependent quark and gluon fragmentation functions. Furthermore, we solve this system of equations using Monte Carlo methods. We then…

High Energy Physics - Phenomenology · Physics 2022-06-07 E. Blanco , K. Kutak , W. Placzek , M. Rohrmoser , K. Tywoniuk

Exclusive emissions of vector mesons in forward directions of rapidity offer us a faultless chance to probe the proton structure at small-$x$. A high-energy factorization formula is established within BFKL, given as the convolution of an…

High Energy Physics - Phenomenology · Physics 2022-08-03 Andrèe Dafne Bolognino , Francesco Giovanni Celiberto , Dmitry Yu. Ivanov , Alessandro Papa

This is a draft describing the calculation of the evolution of the gluon density in $x$ from an initial value $x=x_{0}=0.01$ to smaller values, up to $x=10^{-8}$ in the hard pomeron formalism with a running coupling introduced on the basis…

High Energy Physics - Phenomenology · Physics 2014-11-17 Mikhail Braun , Gian Paolo Vacca

We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which satisfies the unitarity bound. The idea is to relax the strong rapidity ordering and to restrict phase space for real gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Hsiang-nan Li

Starting from an unintegrated gluon distribution which satisfies a `unified' equation which embodies both BFKL and DGLAP behaviour, we compute the shadowing corrections to the integrated gluon in the small x domain that will be accessible…

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

Hard scattering processes involving hadrons at small $x$ are described by a $k_T$-factorization formula driven by a BFKL gluon. We explore the equivalence of this description to a collinear-factorization approach in which the anomalous…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kwiecinski , A. D. Martin

Reliable knowledge of parton distributions at large x is crucial for many searches for new physics signals in the next generation of collider experiments. Although these are generally well determined in the small and medium x range, it has…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kuhlmann , J. Huston , J. Morfin , F. Olness , J. Pumplin , J. F. Owens , W. K. Tung , J. J. Whitmore

In this paper we present solutions of evolution equations for inclusive distribution of gluons as produced by jet traversing quark-gluon plasma. We reformulate the original equations in such a form that the virtual and unresolved-real…

High Energy Physics - Phenomenology · Physics 2019-05-01 K. Kutak , W. Placzek , R. Straka

C-parity-even quarkonia eta_b,c and chi_b,c with spin 0 and 2 are produced via two-gluon fusion. The expected cross section of the inclusive production of the quarkonia at the LHC, times the branching ratios of convenient decays, is up to…

High Energy Physics - Phenomenology · Physics 2015-06-12 Dmitri Diakonov , M. G. Ryskin , A. G. Shuvaev