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The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

高能物理 - 唯象学 · 物理学 2008-11-26 Ian Balitsky , Giovanni A. Chirilli

The small-$x_B$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles.…

高能物理 - 唯象学 · 物理学 2014-11-18 Giovanni A. Chirilli

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…

高能物理 - 唯象学 · 物理学 2010-02-25 Giovanni Antonio Chirilli

Color quadrupoles have been found to be important in the proper description of observables sensitive to the small-x regime in nuclei as well as in the operator definition of the Weizs\"acker-Williams gluon distribution. In this paper, we…

高能物理 - 唯象学 · 物理学 2015-05-30 Fabio Dominguez , A. H. Mueller , Stéphane Munier , Bo-Wen Xiao

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

高能物理 - 唯象学 · 物理学 2014-11-17 I. I. Balitsky , A. V. Belitsky

It is well known that high-energy scattering of a meson from some hadronic target can be described by the interaction of that target with a color dipole formed by two Wilson lines corresponding to fast quark-antiquark pair. Moreover, the…

高能物理 - 唯象学 · 物理学 2015-06-19 I. Balitsky , A. V. Grabovsky

We rederive the small-$x$ evolution equations governing quark helicity distribution in a proton using solely an operator-based approach. In our previous works on the subject, the evolution equations were derived using a mix of diagrammatic…

高能物理 - 唯象学 · 物理学 2019-04-03 Yuri V. Kovchegov , Matthew D. Sievert

We compute the next-to-next-to-leading order (NNLO) contributions to the three splitting functions governing the evolution of unpolarized non-singlet combinations of quark densities in perturbative QCD. Our results agree with all partial…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Moch , J. A. M. Vermaseren , A. Vogt

We revisit the problem of small Bjorken-$x$ evolution of the gluon and flavor-singlet quark helicity distributions in the shock wave ($s$-channel) formalism. Earlier works on the subject in the same framework resulted in an evolution…

高能物理 - 唯象学 · 物理学 2024-08-23 Florian Cougoulic , Yuri V. Kovchegov , Andrey Tarasov , Yossathorn Tawabutr

High-energy behavior of amplitudes in a gauge theory can be reformulated in terms of the evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the conformally invariant BK equation for the evolution of…

高能物理 - 唯象学 · 物理学 2009-09-28 Ian Balitsky , Giovanni A. Chirilli

We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which…

高能物理 - 唯象学 · 物理学 2009-10-31 Edmond Iancu , Andrei Leonidov , Larry McLerran

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…

高能物理 - 唯象学 · 物理学 2013-05-30 Jamal Jalilian-Marian

We apply the formalism developed earlier for studying transverse momentum dependent parton distribution functions (TMDs) at small Bjorken $x$ to construct the small-$x$ asymptotics of the quark Sivers function. First, we explicitly…

高能物理 - 唯象学 · 物理学 2022-09-16 Yuri V. Kovchegov , M. Gabriel Santiago

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…

高能物理 - 唯象学 · 物理学 2010-03-25 W. Buchmuller , T. Gehrmann , A. Hebecker

The nonlinear evolution equation for the scattering amplitude of colour dipole off the heavy nucleus is solved in the double logarithmic approximation. It is found that if the initial parton density in a nucleus is smaller then some…

高能物理 - 唯象学 · 物理学 2009-11-07 E. Levin , K. Tuchin

This thesis studies gluon saturation in hadronic matter at high energy by calculating next-to-leading order (NLO) corrections to inclusive and diffractive deep inelastic scattering cross sections in the Color Glass Condensate (CGC)…

高能物理 - 唯象学 · 物理学 2021-12-17 H. Hänninen

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

高能物理 - 唯象学 · 物理学 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

Relating the high-energy dipole description of deep-inelastic scattering to the standard light-ray operator formulation at finite Bjorken $x_B$ is essential for connecting the small-$x$ framework to the usual partonic description. I…

高能物理 - 唯象学 · 物理学 2026-04-08 Giovanni Antonio Chirilli

We study quantitatively the importance of the recently derived NLO corrections to the DIS structure functions at small x in the dipole formalism. We show that these corrections can be significant and depend on the factorization scheme used…

高能物理 - 唯象学 · 物理学 2017-11-29 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

To study scattering amplitudes at high-energy, the T-product of two currents can be expanded in terms of coefficient functions (impact factors) and matrix elements of ``composite color dipoles'' made of Wilson line operators with rapidity…

高能物理 - 唯象学 · 物理学 2010-11-19 Giovanni Antonio Chirilli
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