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Related papers: Small-$x$ Helicity Evolution: an Operator Treatmen…

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Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the…

High Energy Physics - Phenomenology · Physics 2020-08-26 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang , Sean Fleming

Polarized parton distribution functions are determined by using world data from the longitudinally polarized deep inelastic scattering experiments. A new parametrization of the parton distribution functions is adopted by taking into account…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. Goto , N. Hayashi , M. Hirai , H. Horikawa , S. Kumano , M. Miyama , T. Morii , N. Saito , T. -A. Shibata , E. Taniguchi , T. Yamanishi

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated…

High Energy Physics - Phenomenology · Physics 2022-11-23 Chengdong Han , Gang Xie , Rong Wang , Xurong Chen

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The contributions of twist-two and (renormalon-type) higher-twist operators of the Wilson operator product…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Kotikov , G. Parente

A recent global QCD analysis of jet production and other polarized scattering data has found the presence of negative solutions for the gluon helicity distribution in the proton, $\Delta g$, along with the traditional $\Delta g > 0$…

High Energy Physics - Phenomenology · Physics 2026-05-04 R. M. Whitehill , Yiyu Zhou , N. Sato , W. Melnitchouk

We use the Color Glass Condensate (CGC) framework to study the production of forward heavy quark-antiquark pairs in unpolarized proton-nucleus or proton-proton collisions in the small-x regime. In the limit of nearly back-to-back jets, the…

High Energy Physics - Phenomenology · Physics 2018-02-26 Cyrille Marquet , Claude Roiesnel , Pieter Taels

After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the…

High Energy Physics - Phenomenology · Physics 2010-02-25 Giovanni Antonio Chirilli

We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending…

High Energy Physics - Phenomenology · Physics 2025-06-03 Krzysztof Kutak , Wanchen Li , Anna Stasto , Robert Straka

The helicity-dependent strange quark distribution in the proton, $\Delta s$, is calculated in a nonlocal chiral SU(3) effective field theory. The hadronic proton to meson plus octet or decuplet baryon splitting functions are derived at the…

High Energy Physics - Phenomenology · Physics 2022-05-25 Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , A. W. Thomas , P. Wang , X. G. Wang

In the semiclassical approach, inclusive and diffractive quark and gluon distributions are expressed in terms of correlation functions of Wilson loops. Each Wilson loop integrates the colour field strength in the area between the…

High Energy Physics - Phenomenology · Physics 2010-03-25 W. Buchmuller , T. Gehrmann , A. Hebecker

At high energies particles move very fast so the proper degrees of freedom for the fast gluons moving along the straight lines are Wilson-line operators - infinite gauge factors ordered along the line. In the framework of operator expansion…

High Energy Physics - Phenomenology · Physics 2013-12-16 Ian Balitsky , Giovanni A. Chirilli

We study the polarized gluon distribution $\Delta g(x)$ in a longitudinally polarized proton. We argue that the distribution can be calculated approximately from the quark color currents found in simple quark models. The first result from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Panying Chen , Xiangdong Ji

We present a systematic study of the proton spin structure in terms of measurable parton distributions. For a transversely-polarizedproton, we derive a polarization sum rule from the leading generalized parton distributions appearing in…

High Energy Physics - Phenomenology · Physics 2012-10-18 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

Description of spin-dependent hadronic processes at high energies in terms of parton helicities is a both effective and technically convenient means. In the present paper, we obtain explicit expressions for the parton helicities when either…

High Energy Physics - Phenomenology · Physics 2026-01-23 B. I. Ermolaev

We introduce a new model of near-forward elastic proton-(anti)proton scattering at high energy based on the modern formulation of Pomeron and Odderon in terms of Wilson lines and generalized TMDs (GTMDs). We compute the helicity-dependent…

High Energy Physics - Phenomenology · Physics 2020-06-24 Yoshikazu Hagiwara , Yoshitaka Hatta , Roman Pasechnik , Jian Zhou

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

High Energy Physics - Phenomenology · Physics 2015-06-23 I. Balitsky , A. Tarasov

We present a consistent analysis of elastic electron--deuteron scattering combining perturbative quantum chromodynamics (pQCD) scaling, helicity amplitudes, and phenomenological parameterizations of deuteron form factors. Particular…

High Energy Physics - Phenomenology · Physics 2026-05-12 Yaroslav D. Krivenko-Emetov , Iryna Myroshnykova

We write down explicit expressions for the $x$-evolution (equivalent to energy or rapidity evolution) of $2 n$ ($n = 1, 2, ...$) Wilson lines using the JIMWLK equation and the Color Glass Condensate formalism. We investigate the equation in…

High Energy Physics - Phenomenology · Physics 2015-06-22 Alejandro Ayala , Erike R. Cazaroto , Luis Alberto Hernández , Jamal Jalilian-Marian , Maria Elena Tejeda-Yeomans

We discuss the angular dependence of the recently proposed transverse momentum dependent quark and gluon diffractive parton distributions at small-$x$. We introduce the difractive versions of the Sivers function and the elliptic gluon…

High Energy Physics - Phenomenology · Physics 2024-03-29 Yoshitaka Hatta , Feng Yuan

We revisit the calculation of the next-to-leading order (NLO) corrections to dijet production in electron-ion collisions at small $x$. We focus on the back-to-back configuration where the relative transverse momentum $P_\perp$ of the…

High Energy Physics - Phenomenology · Physics 2025-10-10 Paul Caucal , Edmond Iancu , Farid Salazar , Feng Yuan