Semi-inclusive single-jet production in DIS at next-to-leading order in the Color Glass Condensate

Caucal, Paul; Ferrand, Elouan; Salazar, Farid

doi:10.1007/jhep05(2024)110

Semi-inclusive single-jet production in DIS at next-to-leading order in the Color Glass Condensate

Journal Article · Thu May 09 00:00:00 EDT 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep05(2024)110· OSTI ID:2447738

^[1]; Ferrand, Elouan ^[2]; ^[3]

Université de Nantes (France); Centre National de la Recherche Scientifique (CNRS), Orsay (France). Inst. National de Physique Nucleaire et de Physique des Particules (IN2P3); Laboratory of Subatomic Physics and Associated Technologies (Subatech) (France)
Université de Nantes (France); Centre National de la Recherche Scientifique (CNRS), Orsay (France). Inst. National de Physique Nucleaire et de Physique des Particules (IN2P3); Laboratory of Subatomic Physics and Associated Technologies (Subatech) (France); Univ. Paris-Saclay, Orsay (France)
Univ. of Washington, Seattle, WA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Univ. of California (United States)

Within the Color Glass Condensate (CGC) effective field theory, we derive the next-to-leading order (NLO) cross-section for the single-jet semi-inclusive cross-section in deep inelastic scattering (DIS) at small x, for both longitudinally and transversely polarized virtual photons. We provide analytic expressions, valid at finite N_c and suitable for numerical evaluation, for both the cross-section differential in rapidity and transverse momentum and the cross-section differential in rapidity only. Our NLO formulae demonstrate that the very forward rapidity regime is plagued by large double logarithmic corrections coming from phase space constraints on soft gluons close to the kinematic threshold for jet production. A joint resummation of small-x and threshold logarithms at single logarithmic accuracy is proposed to remedy the instability of the cross-section in this regime. By integrating over the single-jet phase space, we recover known results for the NLO DIS structure functions at small x, previously obtained using the optical theorem.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; FG02-00ER41132

OSTI ID:: 2447738

Alternate ID(s):: OSTI ID: 2406033

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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