Small-x asymptotics of the gluon helicity distribution

Kovchegov, Yuri V.; Pitonyak, Daniel; Sievert, Matthew D.

doi:10.1007/jhep10(2017)198

Cited by 73 publications

(247 citation statements)

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“…Functional derivatives and notations a. Polarized Wilson lines. Those are derived in [4,5] for the (anti)quarks and gluons scattering on a polarized target. They consist of light-cone Wilson lines with the sub-eikonal operator insertions shown in Fig.…”

Section: B Adapting the Methods To Helicity-dependent Scatteringmentioning

confidence: 99%

“…4. Finally, the net polarized Wilson lines in the fundamental and adjoint representations are given by [4,5] V pol b. Functional derivatives of polarized Wilson lines. In order to apply the method presented above in Sections II A and II B to helicity evolution, we will need relations similar to Eqs.…”

Section: B Adapting the Methods To Helicity-dependent Scatteringmentioning

confidence: 99%

“…(18), (21), and (22). The factor of p + 1 in those equations cancels the sub-eikonal factors in the fields β(x) ∼ 1/p + 1 and ψ ∼ψ ∼ 1/ p + 1 [4,5]. Therefore, the operator (36) has no explicit energy dependence.…”

Section: A Evolution Kernel For a Test Operatormentioning

confidence: 99%

“…Lifetime and longitudinal momentum ordering. Helicity evolution at the leading order resums two logarithms of Bjorken x per each power of the strong coupling α s [2][3][4][5]. This type of resummation is known as the double-logarithmic approximation (DLA) and results in α s ln 2 (1/x) being the resummation parameter [37,[42][43][44][45][46][47][48][49].…”

Section: A Evolution Kernel For a Test Operatormentioning

confidence: 99%

“…A new feature of helicity-dependent distributions, compared to the unpolarized ones, is the use of Wilson lines beyond the eikonal approximation [4,5]. In order to be sensitive to the target helicity, the probe must interact with the target in a sub-eikonal way at least once.…”

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confidence: 99%

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Helicity-dependent generalization of the JIMWLK evolution

Cougoulic

Kovchegov

2019

Phys. Rev. D

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We generalize the JIMWLK evolution equation to include the small-x evolution of helicity distributions. To derive helicity JIMWLK, we use the method devised by A.H. Mueller in [1] for the usual unpolarized JIMWLK, and apply it to the helicity evolution equations derived in [2][3][4][5]. We obtain a functional evolution equation for the generalized JIMWLK weight functional. The functional now is a sum of a helicity-independent term and a helicity-dependent term. The kernel of the new evolution equation consists of the standard eikonal leading-order JIMWLK kernel plus new terms containing derivatives with respect to the sub-eikonal quark and gluon fields. The new kernel we derive can be used to generate the standard JIMWLK evolution and to construct small-x evolution equations for flavor-singlet operators made of any number of light-cone Wilson lines along with one Wilson line containing sub-eikonal helicity-dependent local operator insertions (a "polarized Wilson line").

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Section: B Adapting the Methods To Helicity-dependent Scatteringmentioning

confidence: 99%

Section: B Adapting the Methods To Helicity-dependent Scatteringmentioning

confidence: 99%

Section: A Evolution Kernel For a Test Operatormentioning

confidence: 99%

Section: A Evolution Kernel For a Test Operatormentioning

confidence: 99%

mentioning

confidence: 99%

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Helicity-dependent generalization of the JIMWLK evolution

Cougoulic

Kovchegov

2019

Phys. Rev. D

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Sub-eikonal corrections to scattering amplitudes at high energy

Chirilli

2019

J. High Energ. Phys.

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Most of the progress in high-energy Quantum Chromodynamics has been obtained within the eikonal approximation and infinite Wilson-line operators. Evolution equations of Wilson lines with respect to the rapidity parameter encode the dynamics of the hadronic processes at high energy. However, even at high energy many interesting aspects of hadron dynamics are not accessible within the eikonal approximation, the spin physics being an obvious example. The higher precision reached by the experiments and the possibility to probe spin dynamics at future Electron Ion Colliders make the study of deviations from eikonal approximation especially timely. In this paper, I derive the subeikonal quark and gluon propagators which can serve as a starting point of studies of these effects.

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Single inclusive hadron production in DIS at small x: next to leading order corrections

Bergabo

Jalilian‐Marian

2023

J. High Energ. Phys.

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We calculate the one-loop corrections to single inclusive hadron production in Deep Inelastic Scattering (DIS) at small x in the forward rapidity region using the Color Glass Condensate formalism. We show that the divergent parts of the next to leading order (NLO) corrections either cancel among each other or lead to x (rapidity) evolution of the leading order (LO) dipole cross section according to the JIMWLK evolution equation and DGLAP evolution of the parton-hadron fragmentation function. The remaining finite parts constitute the NLO (αs) corrections to the LO single inclusive hadron production cross section in DIS at small x.

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Small-x asymptotics of the gluon helicity distribution

Cited by 73 publications

References 74 publications

Helicity-dependent generalization of the JIMWLK evolution

Helicity-dependent generalization of the JIMWLK evolution

Sub-eikonal corrections to scattering amplitudes at high energy

Single inclusive hadron production in DIS at small x: next to leading order corrections

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