2021/02/02 by Ming Li, Vladimir V. Skokov
Mathematics · Physics and Astronomy · #Color charge #Color-glass condensate #DGLAP #Gauge theory #Gluon #High-Energy Particle Collisions Research #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Proton #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Saturation (graph theory) #Yang–Mills existence and mass gap #hep-ph #nucl-th
paper · pdf · doi:10.1007/jhep06(2021)140
53 pages, 9 figures
arxiv created 2021/02/02 · openalex created_date 2021/02/15 · openalex publication_date 2021/06/01 · arxiv updated 2021/07/14 · openalex updated_date 2026/08/05
A bstract In high energy proton-nucleus collisions, the single- and double-inclusive soft gluon productions at the leading order have been calculated and phenomenologically studied in various approaches for many years. These studies do not take into account the saturation and multiple rescatterings in the field of the proton. The first saturation correction to these leading order results (the terms that are enhanced by the combination αs2μ2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:msup><mml:mi>μ</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> , where μ 2 is the proton’s color charge squared per unit transverse area) has not been completely derived despite recent attempts using a diagrammatic approach. This paper is the first in a series of papers towards analytically completing the first saturation correction to physical observables in high energy proton-nucleus collisions. Our approach is to analytically solve the classical Yang-Mills equations in the dilute-dense regime using the Color Glass Condensate effective theory and compute physical observables constructed from classical gluon fields. In the current paper, the Yang-Mills equations are solved perturbatively in the field of the dilute object (the proton). Next-to-leading order and next-to-next-to-leading order analytic solutions are explicitly constructed. A systematic way to obtain all higher order analytic solutions is outlined.