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Hänninen H, Mäntysaari H, Paatelainen R, Penttala J. Proton Structure Functions at Next-to-Leading Order in the Dipole Picture with Massive Quarks. PHYSICAL REVIEW LETTERS 2023; 130:192301. [PMID: 37243632 DOI: 10.1103/physrevlett.130.192301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/11/2022] [Revised: 02/03/2023] [Accepted: 04/18/2023] [Indexed: 05/29/2023]
Abstract
We predict heavy quark production cross sections in deep inelastic scattering at high energy by applying the color glass condensate effective theory. We demonstrate that, when the calculation is performed consistently at next-to-leading order accuracy with massive quarks, it becomes possible, for the first time in the dipole picture with perturbatively calculated center-of-mass energy evolution, to simultaneously describe both the light and heavy quark production data at small x_{Bj}. Furthermore, we show how the heavy quark cross section data provides additional strong constraints on the extracted nonperturbative initial condition for the small-x_{Bj} evolution equations.
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Affiliation(s)
- Henri Hänninen
- Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Heikki Mäntysaari
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Risto Paatelainen
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
- Department of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Jani Penttala
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
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Abstract
Quantum chromodynamics (QCD) is the theory of strong interactions of quarks and gluons collectively called partons, the basic constituents of all nuclear matter. Its non-abelian character manifests in nature in the form of two remarkable properties: color confinement and asymptotic freedom. At high energies, perturbation theory can result in the growth and dominance of very gluon densities at small-x. If left uncontrolled, this growth can result in gluons eternally growing violating a number of mathematical bounds. The resolution to this problem lies by balancing gluon emissions by recombinating gluons at high energies: phenomena of gluon saturation. High energy nuclear and particle physics experiments have spent the past decades quantifying the structure of protons and nuclei in terms of their fundamental constituents confirming predicted extraordinary behavior of matter at extreme density and pressure conditions. In the process they have also measured seemingly unexpected phenomena. We will give a state of the art review of the underlying theoretical and experimental tools and measurements pertinent to gluon saturation physics. We will argue for the need of high energy electron-proton/ion colliders such as the proposed EIC (USA) and LHeC (Europe) to consolidate our knowledge of QCD knowledge in the small x kinematic domains.
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