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...

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Main Authors: Kaushik Roy, Raju Venugopalan
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2018)013
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author Kaushik Roy
Raju Venugopalan
author_facet Kaushik Roy
Raju Venugopalan
author_sort Kaushik Roy
collection DOAJ
description 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 ⊥ 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 + → ∞.
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spelling doaj.art-78827530da69406f961b9e96f0ce130a2022-12-22T00:04:22ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514710.1007/JHEP05(2018)013Inclusive prompt photon production in electron-nucleus scattering at small xKaushik Roy0Raju Venugopalan1Department of Physics and Astronomy, Stony Brook UniversityPhysics Department, Brookhaven National LaboratoryAbstract 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 in the “wrong” light cone gauge A − = 0 for a nucleus moving with P N + → ∞.http://link.springer.com/article/10.1007/JHEP05(2018)013Deep Inelastic Scattering (Phenomenology)NLO Computations
spellingShingle Kaushik Roy
Raju Venugopalan
Inclusive prompt photon production in electron-nucleus scattering at small x
Journal of High Energy Physics
Deep Inelastic Scattering (Phenomenology)
NLO Computations
title Inclusive prompt photon production in electron-nucleus scattering at small x
title_full Inclusive prompt photon production in electron-nucleus scattering at small x
title_fullStr Inclusive prompt photon production in electron-nucleus scattering at small x
title_full_unstemmed Inclusive prompt photon production in electron-nucleus scattering at small x
title_short Inclusive prompt photon production in electron-nucleus scattering at small x
title_sort inclusive prompt photon production in electron nucleus scattering at small x
topic Deep Inelastic Scattering (Phenomenology)
NLO Computations
url http://link.springer.com/article/10.1007/JHEP05(2018)013
work_keys_str_mv AT kaushikroy inclusivepromptphotonproductioninelectronnucleusscatteringatsmallx
AT rajuvenugopalan inclusivepromptphotonproductioninelectronnucleusscatteringatsmallx