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We highlight the principal results of a computation in the Color Glass Condensate effective field theory (CGC EFT) of the next-to-leading order (NLO) impact factor for inclusive photon+dijet production at Bjorken $x_{\rm Bj} \ll 1$ in deeply inelastic electron-nucleus (e+A DIS) collisions.
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Yuri V. Kovchegov, “NonAbelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus,” Phys. Rev. D54
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Alejandro Ayala, Jamal Jalilian-Marian, Larry D. McLerran, and Raju Venugopalan, “Quantum corrections to the Weizsacker-Williams gluon distribution function at small x,” Phys. Rev. D53
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To LL x x , this equation generates the Balitsky hierarchy Balitsky 1996 describing the evolution of n-point Wilson line correlators in x x . In the limit of large number of colors N c N_{c} , and for A ≫ 1 A\gg 1 , the simplest dipole correlator of light-like Wilson lines in this hierarchy satisfies the Balitsky-Kovchegov (BK) equation Balitsky 1996 ; Kovchegov 1999 . In the leading twist limit where Q S 2 ( x ) / Q 2 ≪ 1 Q_{S}^{2}(x)/Q^{2}\ll 1 , it reduces to the BFKL equation Kuraev et al. 1977 ; Balitsky and Lipatov 1978
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I. Balitsky, “Operator expansion for high-energy scattering,” Nucl. Phys. B463
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Larry D. McLerran and Raju Venugopalan, “Fock space distributions, structure functions, higher twists and small x,” Phys. Rev. D59
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Yuri V. Kovchegov, “Small x F(2) structure function of a nucleus including multiple pomeron exchanges,” Phys. Rev. D60
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Edmond Iancu, Andrei Leonidov, and Larry D. McLerran, “Nonlinear gluon evolution in the color glass condensate. 1.” Nucl. Phys. A692
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I. I. Balitsky and Andrei V. Belitsky, “Nonlinear evolution in high density QCD,” Nucl. Phys. B629
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Elena Ferreiro, Edmond Iancu, Andrei Leonidov, and Larry McLerran, “Nonlinear gluon evolution in the color glass condensate. 2.” Nucl. Phys. A703
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Jochen Bartels, S. Gieseke, and C. F. Qiao, “The ( γ ∗ → q q ¯ \gamma^{*}\rightarrow q\bar{q} ) Reggeon vertex in next-to-leading order QCD,” Phys. Rev. D63
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A. Banfi, G. Marchesini, and G. Smye, “Away from jet energy flow,” JHEP 08
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Edmond Iancu and Raju Venugopalan, “The Color glass condensate and high-energy scattering in QCD,” in In *Hwa, R.C. (ed.) et al.: Quark gluon plasma* 249-3363 (2003) arXiv:hep-ph/0303204 [hep-ph]
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G. Marchesini and A. H. Mueller, “BFKL dynamics in jet evolution,” Phys. Lett. B575
2003
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Sangyong Jeon and Raju Venugopalan, “Random walks of partons in SU(N(c)) and classical representations of color charges in QCD at small x,” Phys. Rev. D70
2004
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Jean Paul Blaizot, Francois Gelis, and Raju Venugopalan, “High-energy pA collisions in the color glass condensate approach. 2. Quark production,” Nucl. Phys. A743
2004
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Heribert Weigert, “Nonglobal jet evolution at finite N(c),” Nucl. Phys. B685
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M. A. Braun, “Pomeron with a running coupling in the nucleus,” Eur. Phys. J. C51
2007
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2008
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2016
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Jean-Paul Blaizot, “High gluon densities in heavy ion collisions,” Rept. Prog. Phys. 80
2017
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2009
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2011
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Yuri V. Kovchegov and Eugene Levin, Quantum chromodynamics at high energy , Vol. 33 (Cambridge University Press, 2012)
2012
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2017
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Group theory techniques to compute such correlators in the MV model are discussed in Blaizot et al. 2004 ; Dominguez et al. 2013 ; Dusling et al. 2018 ; Fukushima and Hidaka 2017
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This correspondence is a feature of non-global logarithms in jet physics Banfi et al. 2002 ; the latter was identified with BK/JIMWLK evolution by Marchesini and Mueller Marchesini and Mueller 2003 as well as by Weigert Weigert 2004 , and subsequently significantly developed by Hatta et al. Hatta 2008 ; Avsar et al. 2009 ; Hatta and Ueda 2013 ; Hatta et al. 2018 . and by Neill Neill 2017
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Alfred H. Mueller, “Conformal spacelike-timelike correspondence in QCD,” JHEP 08
2018
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Explicit expressions for all kinematic variables are provided in Roy and Venugopalan 2018 and in Roy and Venugopalan 2019
2019
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Since the soft gluon theorem is related to an infinite dimensional Kac-Moody symmetry He et al. 2016 on the celestial sphere (obtained by a stereographic projection of transverse coordinates) at null infinity, these symmetries may help identify the correct boundary conditions. Note that this theorem is associated with a color memory Pate et al. 2017 . In the Regge limit, the latter is precisely the color matrix in Eq. 4
2019
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