Proton spin structure at small-x

Boussarie, Renaud; Hatta, Yoshitaka; Yuan, Feng

doi:10.1016/j.physletb.2019.134817

Cited by 39 publications

(26 citation statements)

References 50 publications

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“…An important theoretical question concerns the asymptotic small-x behaviour of the polarized parton distribution functions and their contributions to the spin sum rule. There has been some progress to understand the proton spin structure at small x from the associated small-x evolution equations [129][130][131][132][133][134] . More theoretical efforts are needed to resolve the controversial issues that appeared in these derivations.…”

Section: Bethe-heitler Amplitudementioning

confidence: 99%

What we know and what we don’t know about the proton spin after 30 years

Yuan

Zhao

2020

Nat Rev Phys

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Section: Bethe-heitler Amplitudementioning

confidence: 99%

What we know and what we don’t know about the proton spin after 30 years

Yuan

Zhao

2020

Nat Rev Phys

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“…The factor of the center-of-mass energy squared s in (36) cancels the sub-eikonal factor of 1/s in the polarized Wilson lines from Eqs. (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].…”

Section: A Evolution Kernel For a Test Operatormentioning

confidence: 95%

“…In recent years, small-x asymptotics of transverse momentum dependent parton distribution functions (TMD PDFs or TMDs for short) received considerable attention in the literature [2,[6][7][8][9][10][11][12][13][14][15][16][17][18]. In a series of papers [2-5, 19, 20] the small-x evolution equations for the quark and gluon helicity distributions were constructed by finding sub-eikonal corrections to the eikonal shock wave formalism.…”

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confidence: 99%

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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“…In view of future collider experiments, in which hadronic matter will be probed at unprecedented kinematic regimes, there has been, in recent years, an ever growth of interest in understanding the fundamental properties of hadrons, spin and mass, from their constituents, quarks, and gluons [1][2][3][4][5][6][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%