High energy QCD at NLO: from light-cone wave function to JIMWLK evolution

Lublinsky, Michael; Mulian, Yair

doi:10.1007/jhep05(2017)097

Cited by 60 publications

(95 citation statements)

References 84 publications

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“…The O(α 2 s ) correction in eq. (3.2) has been recently determined by three groups [52][53][54][55][56][57]. In the following, however, we will need only the leading-order dimensionally-regulated kernel K ij;0 , which turns out to admit a simple, dimension-independent expression in momentum space (see ref.…”

Section: Jhep06(2017)016mentioning

confidence: 99%

Two-parton scattering in the high-energy limit

Caron-Huot¹,

Gardi²,

Vernazza³

2017

J. High Energ. Phys.

313

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Considering 2 → 2 gauge-theory scattering with general colour in the highenergy limit, we compute the Regge-cut contribution to three loops through next-to-nextto-leading high-energy logarithms (NNLL) in the signature-odd sector. Our formalism is based on using the non-linear Balitsky-JIMWLK rapidity evolution equation to derive an effective Hamiltonian acting on states with a fixed number of Reggeized gluons. A new effect occurring first at NNLL is mixing between states with k and k + 2 Reggeized gluons due non-diagonal terms in this Hamiltonian. Our results are consistent with a recent determination of the infrared structure of scattering amplitudes at three loops, as well as a computation of 2 → 2 gluon scattering in N = 4 super Yang-Mills theory. Combining the latter with our Regge-cut calculation we extract the three-loop Regge trajectory in this theory. Our results open the way to predict high-energy logarithms through NNLL at higher-loop orders.

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Section: Jhep06(2017)016mentioning

confidence: 99%

Two-parton scattering in the high-energy limit

Caron-Huot¹,

Gardi²,

Vernazza³

2017

J. High Energ. Phys.

313

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“…Gluon emissions from the dipole occur like in the vacuum and non-linear effects exclusively refer to multiple scattering. This leads to the Balitsky hierarchy (and the BK equation), currently known to NLO accuracy [8][9][10][11][12]. Since our purpose in this work is to go beyond LO accuracy, we systematically use the dipole frame in what follows.…”

Section: Collinearly-improved Bk Evolution In the Target Rapiditymentioning

confidence: 99%

“…Derived via systematic approximations within perturbative QCD, the Colour Glass Condensate (CGC) effective theory [1][2][3][4][5] is a powerful framework for computing high-energy processes in the presence of nonlinear effects associated with high parton densities. There are intense ongoing efforts towards extending this effective theory to next-to-leading order (NLO) accuracy, as required by realistic applications to phenomenology [6][7][8][9][10][11][12][13][14][15][16][17][18][19]. These efforts refer both to the Balitsky-JIMWLK equations [20][21][22][23][24][25][26], which govern the high-energy evolution of the scattering amplitudes, and to the impact factors, which represent cross-sections at relatively low energy.…”

Section: Introductionmentioning

confidence: 99%

HERA data and collinearly-improved BK dynamics

et al. 2020

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Within the framework of the dipole factorisation, we use a recent collinearly-improved version of the Balitsky-Kovchegov equation to fit the HERA data for inclusive deep inelastic scattering at small Bjorken x. The equation includes an all-order resummation of double and single transverse logarithms and running coupling corrections. Compared to similar equations previously proposed in the literature, this work makes a direct use of Bjorken x as the rapidity scale for the evolution variable. We obtain excellent fits for reasonable values for the four fit parameters. We find that the fit quality improves when including resummation effects and a physically-motivated initial condition. In particular, the resummation of the DGLAP-like single transverse logarithms has a sizeable impact and allows one to extend the fit up to relatively large photon virtuality Q 2 .

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“…Computations of higher order corrections to the BK equations followed in short order [28][29][30] and specific prescriptions for the running coupling following from these studies were implemented [31] in phenomenological studies. More recently, NLO computations of multi-point Wilson line correlators, or equivalently, the NLO JIMWLK Hamiltonian have become available [32][33][34][35][36] and next-to-next-to-leading order (NNLO) computations of BK and JIMWLK are underway [37,38].…”

Section: Introductionmentioning

confidence: 99%

“…The weight functional W N LLx [ρ A ] in Eq. (13) can be obtained by adapting extant results for LO and NLO(≡O(α 2 S )) JIMWLK [33,35,36,86,87] and BK [28,29,32] evolution into our approach. Thus to obtain results for photon+dijet production up to O(α 3 S ln(Λ − 1 /Λ − 0 )) accuracy, it is sufficient to compute the NLO impact factor dσ jet;finite…”

Section: Introductionmentioning

confidence: 99%

NLO impact factor for inclusive photon+dijet production in e+A DIS at small x

Roy

Venugopalan

2020

Phys. Rev. D

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We compute the next-to-leading order (NLO) impact factor for inclusive photon +dijet production in electron-nucleus (e+A) deeply inelastic scattering (DIS) at small x. An important ingredient in our computation is the simple structure of "shock wave" fermion and gluon propagators. This allows one to employ standard momentum space Feynman diagram techniques for higher order computations in the Regge limit of fixed Q 2 Λ 2 QCD and x → 0. Our computations in the Color Glass Condensate (CGC) effective field theory include the resummation of all-twist power corrections Q 2 s /Q 2 , where Qs is the saturation scale in the nucleus. We discuss the structure of ultraviolet, collinear and soft divergences in the CGC, and extract the leading logs in x; the structure of the corresponding rapidity divergences gives a nontrivial first principles derivation of the JIMWLK renormalization group evolution equation for multiparton lightlike Wilson line correlators. Explicit expressions are given for the x-independent O(αs) contributions that constitute the NLO impact factor. These results, combined with extant results on NLO JIMWLK evolution, provide the ingredients to compute the inclusive photon + dijet cross-section at small x to O(α 3 s ln(x)). First results for the NLO impact factor in inclusive dijet production are recovered in the soft photon limit. A byproduct of our computation is the LO photon+ 3 jet (quark-antiquark-gluon) cross-section. CONTENTS * kaushik.roy.1@stonybrook.edu † raju@bnl.gov arXiv:1911.04530v2 [hep-ph] 3 Dec 2019 97 J. Proof of the sub-dominance of non-collinearly divergent contributions in the SCA 100References 100

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High energy QCD at NLO: from light-cone wave function to JIMWLK evolution

Cited by 60 publications

References 84 publications

Two-parton scattering in the high-energy limit

Two-parton scattering in the high-energy limit

HERA data and collinearly-improved BK dynamics

NLO impact factor for inclusive photon+dijet production in e+A DIS at small x

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