NLO JIMWLK evolution unabridged

Alex Kovner; Michael Lublinsky; Yair Mulian

doi:10.1007/JHEP08(2014)114

NLO JIMWLK evolution unabridged

Alex Kovner, Michael Lublinsky, Yair Mulian

Department of Physics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: In ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in α_s. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky’s hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].

Original language	American English
Article number	114
Journal	Journal of High Energy Physics
Volume	2014
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2014)114
State	Published - 1 Aug 2014

Keywords

Deep Inelastic Scattering (Phenomenology)
NLO Computations

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1007/JHEP08(2014)114

Cite this

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title = "NLO JIMWLK evolution unabridged",

abstract = "Abstract: In ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in αs. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky{\textquoteright}s hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].",

keywords = "Deep Inelastic Scattering (Phenomenology), NLO Computations",

author = "Alex Kovner and Michael Lublinsky and Yair Mulian",

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doi = "10.1007/JHEP08(2014)114",

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T1 - NLO JIMWLK evolution unabridged

AU - Kovner, Alex

AU - Lublinsky, Michael

AU - Mulian, Yair

PY - 2014/8/1

Y1 - 2014/8/1

N2 - Abstract: In ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in αs. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky’s hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].

AB - Abstract: In ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in αs. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky and Chirilli [2]. We then establish the equivalence between the NLO JIMWLK Hamiltonian and the NLO version of the Balitsky’s hierarchy [3], which includes action on nonsinglet combinations of Wilson lines. Finally, we present complete evolution equation for three-quark Wilson loop operator, thus extending the results of Grabovsky [4].

KW - Deep Inelastic Scattering (Phenomenology)

KW - NLO Computations

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U2 - 10.1007/JHEP08(2014)114

DO - 10.1007/JHEP08(2014)114

M3 - Article

SN - 1126-6708

VL - 2014

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 114

ER -

NLO JIMWLK evolution unabridged

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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