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

Roy, Kaushik; Venugopalan, Raju

doi:10.1103/PhysRevD.101.034028

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

Journal Article · Mon Feb 24 00:00:00 EST 2020 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.101.034028· OSTI ID:1601716

; Venugopalan, Raju

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 $Q^2$ $$\gg$$ $$Λ^2_{QCD}$$ 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 $$Q_s$$ 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 $$O(α_s)$$ 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.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704

OSTI ID:: 1601716

Alternate ID(s):: OSTI ID: 1606186

Report Number(s):: BNL-213748-2020-JAAM; PRVDAQ; 034028

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 101 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 42 works

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