Single inclusive hadron production in DIS at small x: next to leading order corrections

• Published in: The journal of high energy physics Vol. 2023; no. 1; pp. 95 - 23
• Main Authors: Bergabo, Filip, Jalilian-Marian, Jamal
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 18.01.2023; Springer Nature B.V; Springer Nature; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Cross-sections; Deep Inelastic Scattering or Small-x Physics; Dipoles; Effective Field Theories of QCD; Elementary Particles; Evolution; gluon saturation; High energy physics; High energy QCD; Inelastic scattering; Partons; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quarks; Regular Article - Theoretical Physics; Relativity Theory; Small x; String Theory; Effective Field Theories of QCD; Deep Inelastic Scattering or Small-x Physics
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2023)095

A bstract We calculate the one-loop corrections to single inclusive hadron production in Deep Inelastic Scattering (DIS) at small x in the forward rapidity region using the Color Glass Condensate formalism. We show that the divergent parts of the next to leading order (NLO) corrections either cancel among each other or lead to x (rapidity) evolution of the leading order (LO) dipole cross section according to the JIMWLK evolution equation and DGLAP evolution of the parton-hadron fragmentation function. The remaining finite parts constitute the NLO ( α s ) corrections to the LO single inclusive hadron production cross section in DIS at small x .