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The $k_{\perp}$ dependent gluon distribution is calculated accounting for the resummation of small~$x$ effects due to the Lipatov equation. It is represented by a convolution of a gluon density in the collinear limit and a universal…

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

In this paper, we study the asymptotic behavior of the sum of twisted traces of self-dual or conjugate self-dual discrete automorphic representations of $\mathrm{GL}_n$ for the level aspect of principal congruence subgroups under some…

Number Theory · Mathematics 2025-04-03 Yugo Takanashi , Satoshi Wakatsuki

Jet shape observables which involve measurements restricted to a part of phase space are sensitive to multiplication of soft gluon with large relative angles and give rise to specific single logarithmically enhanced (SL) terms (non-global…

High Energy Physics - Phenomenology · Physics 2016-09-06 Yu. L. Dokshitzer , G. Marchesini

An impact parameter dependent unintegrated gluon distribution is constructed as a solution of a nonlinear evolution equation with realistic Glauber--Gribov input. Photon--jet correlations in the proton fragmentation region of pA collisions…

High Energy Physics - Phenomenology · Physics 2010-04-22 W. Schäfer

We derive the first-ever small-$x$ expression for the inclusive gluon production cross section in the central rapidity region of the longitudinally polarized proton-proton collisions. The cross section depends on the polarizations of both…

High Energy Physics - Phenomenology · Physics 2024-03-12 Yuri V. Kovchegov , Ming Li

We perform a phenomenological analysis of the $\cos 2 \phi $ azimuthal asymmetry in virtual photon plus jet production induced by the linear polarization of gluons in unpolarized $pA$ collisions. Although the linearly polarized gluon…

High Energy Physics - Phenomenology · Physics 2017-12-06 Daniel Boer , Piet J. Mulders , Jian Zhou , Ya-jin Zhou

We study how the rapidity evolution of gluon transverse momentum dependent distribution changes from nonlinear evolution at small $x \ll 1$ to linear evolution at moderate $x \sim 1$.

High Energy Physics - Phenomenology · Physics 2015-09-30 I. Balitsky , A. Tarasov

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

A feasibility study to extract the polarised gluon density from di-jet events at HERA in next-to-leading order is presented. It is shown that when taking next-to-leading order effects into account the asymmetries at HERA remain measurable…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Radel , A. De Roeck

We consider the perturbative (weak field) limit of the small $x$ QCD evolution equation for quadrupole, the normalized trace of four Wilson lines in the fundamental representation, which appears in di-hadron angular correlation in high…

High Energy Physics - Phenomenology · Physics 2013-05-30 Jamal Jalilian-Marian

We give explicit formulae for a differential graded Lie algebra (DGLA) model of the triangle which is symmetric under the geometric symmetries of the cell. This follows the work of Lawrence-Sullivan on the (unique) DGLA model of the…

Algebraic Topology · Mathematics 2019-11-12 Itay Griniasty , Ruth Lawrence

Power-suppressed corrections to parton evolution may affect the theoretical accuracy of current determinations of parton distributions. We study the role of multigluon-exchange terms in the extraction of the gluon distribution for the Large…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

High Energy Physics - Phenomenology · Physics 2014-02-07 G. R. Boroun

An approach which unifies the Double Logarithmic Approximation at small x and the leading order DGLAP evolution of fragmentation functions at large x is presented. This approach reproduces exactly the Modified Leading Logarithm…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We show estimates for shadowing of gluons at small values of $x$, appropriate to RHIC and LHC experiments using a new evolution equation which takes into account the effects of gluon recombination to all orders in gluon density. We show…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Jalilian-Marian

A derivation for a polarized CCFM evolution equation which is suitable to describe the scaling behavior of the the unintegrated polarized gluon density is given. We discuss the properties of this polarized CCFM equation and compare it to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Maul

We use a factorization scheme analogous to one proposed for single inclusive forward hadron production to factorize the soft gluon divergence present in the deep inelastic scattering cross sections in the dipole picture at next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-06-11 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

Accurate gluon densities at small $x$ are essential for reducing theoretical uncertainties in collider predictions, yet remain one of the least constrained ingredients in global analyses. We report recent advances in the resummation of…

High Energy Physics - Phenomenology · Physics 2025-12-02 Francesco Giovanni Celiberto , Marco Bonvini

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

In this work we revisit five different point sources within or behind galaxy clusters in order to constrain the coupling constant between axion-like particles (ALPs) and photons. We use three distinct machine learning (ML) techniques and…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-15 Simon Schallmoser , Sven Krippendorf , Francesca Chadha-Day , Jochen Weller