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

Here, 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⊥ 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 inmore » the “wrong” light cone gauge A = 0 for a nucleus moving with P N+ → ∞.« less
Authors:
ORCiD logo [1] ;  [2]
  1. Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Report Number(s):
BNL-207866-2018-JAAM
Journal ID: ISSN 1029-8479
Grant/Contract Number:
SC0012704
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Deep Inelastic Scattering (Phenomenology); NLO Computations
OSTI Identifier:
1462427

Roy, Kaushik, and Venugopalan, Raju. Inclusive prompt photon production in electron-nucleus scattering at small x. United States: N. p., Web. doi:10.1007/JHEP05(2018)013.
Roy, Kaushik, & Venugopalan, Raju. Inclusive prompt photon production in electron-nucleus scattering at small x. United States. doi:10.1007/JHEP05(2018)013.
Roy, Kaushik, and Venugopalan, Raju. 2018. "Inclusive prompt photon production in electron-nucleus scattering at small x". United States. doi:10.1007/JHEP05(2018)013. https://www.osti.gov/servlets/purl/1462427.
@article{osti_1462427,
title = {Inclusive prompt photon production in electron-nucleus scattering at small x},
author = {Roy, Kaushik and Venugopalan, Raju},
abstractNote = {Here, 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 /Q2, where Qs,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⊥ 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+ → ∞.},
doi = {10.1007/JHEP05(2018)013},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2018,
place = {United States},
year = {2018},
month = {5}
}