Abstract
We compute the ${\cal O}(\alpha^2\alpha_s^2)$ perturbative corrections to inclusive jet production in electron-nucleon collisions. This process is of particular interest to the physics program of a future Electron Ion Collider (EIC). We include all relevant partonic processes, including deep-inelastic scattering contributions, photon-initiated corrections, and parton-parton scattering terms that first appear at this order. Upon integration over the final-state hadronic phase space we validate our results for the deep-inelastic corrections against the known next-to-next-to-leading order (NNLO) structure functions. Our calculation uses the $N$-jettiness subtraction scheme for performing higher-order computations, and allows for a completely differential description of the deep-inelastic scattering process. We describe the application of this method to inclusive jet production in detail, and present phenomenological results for the proposed EIC. The NNLO corrections have a non-trivial dependence on the jet kinematics and arise from an intricate interplay between all contributing partonic channels.
Highlights
The production of hadrons and jets at a future Electron Ion Collider (EIC) will play a central role in understanding the structure of the protons and nuclei which comprise the visible matter in the universe
Upon integration of the deep-inelastic scattering (DIS) terms over the finalstate hadronic phase space we compare our result against the known next-to-next-to-leading order (NNLO) prediction for the inclusive structure function, and we find complete agreement
We find that all partonic channels, including new ones that first appear at this order, contribute in a non-trivial way to give the complete NNLO correction
Summary
The production of hadrons and jets at a future Electron Ion Collider (EIC) will play a central role in understanding the structure of the protons and nuclei which comprise the visible matter in the universe. Both processes were found to contribute for expected EIC parameters, and the shift of the leading-order prediction was found to be both large and dependent on the final-state jet kinematics Our goal in this manuscript is to present the full O(α2αs2) NNLO contributions to single-inclusive jet production in electron-nucleon collisions, including all the relevant partonic processes discussed above. Gluon-lepton scattering channels receive two-loop double virtual corrections, one-loop corrections to single real-emission diagrams, and double-real emission corrections These contributions necessitate the use of a fullfledged NNLO subtraction scheme. The photon-initiated scattering channels receive virtual and single real-emission corrections The calculation of these terms follows the standard application of the antennae subtraction scheme at NLO. In the limit of vanishing fermion masses there is a collinear singularity associated with this contribution This divergence appears in the quark-lepton, gluon-lepton, and photon-initiated scattering channels. The appearance of the renormalization scale μ indicates that an MS subtraction of the QED collinear divergence is used in the calculation of the gl and ql scattering channels, and in the derivation of the photon distribution function
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