Inclusive prompt photon production in electron-nucleus scattering at small x

Abstract

We compute the differential cross-section for inclusive prompt photon production in deeply inelastic scattering (DIS) of electrons on nuclei at small $x$ in the framework of the Color Glass Condensate (CGC) effective theory. The leading order (LO) computation in this framework resums leading logarithms in $x$ as well as power corrections to all orders in $Q_{s,A}^2/Q^2$, where $Q_{s,A}(x)$ is the nuclear saturation scale. This LO result is proportional to universal dipole and quadrupole Wilson line correlators in the nucleus. In the soft photon limit, the Low-Burnett-Kroll theorem allows us to recover existing results on inclusive DIS dijet production. The $k_{\perp }$ and collinearly factorized expressions for prompt photon production in DIS are also recovered in a leading twist approximation to our result. In the latter case, our result corresponds to the dominant next-to-leading order (NLO) perturbative QCD contribution at small $x$. We next discuss the computation of the NLO corrections to inclusive prompt photon production in the CGC framework. In particular, we emphasize the advantages for higher order computations in inclusive photon production, and for fully inclusive DIS, arising from the simple momentum space structure of the dressed quark and gluon "shock wave" propagators in the "wrong" light cone gauge $A^{-}=0$ for a nucleus moving with $P_N^{+}\to \infty$.

33 pages, 19 figures

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Cited by in corpus (23)

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• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
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• $J/\psi$ polarization in the CGC+NRQCD approach
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• Universality in Hadronic and Nuclear Collisions at High Energy
• Isolated photon-hadron production in high energy $pp$ and $pA$ collisions at RHIC and LHC
• Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small $x$
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• TMD factorization for dijets + photon production from the dilute-dense CGC framework
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Forward Inclusive Jet Productions in pA Collisions
• S-matrix and productions amplitudes in high energy QCD
• The color dipole picture for prompt photon production in $pp$ and $pPb$ collisions at the CERN-LHC
• Prompt photon production in high-energy $pA$ collisions at forward rapidity
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Photoproduction of three jets in the CGC: gluon TMDs and dilute limit