2021/01/31 by Xuan-Bo Tong, Jian-Ping Ma, Feng Yuan
Physics and Astronomy · #Classical mechanics #Distribution (mathematics) #Factorization #Geometry #Gluon #Gravitation #Hadron #High-Energy Particle Collisions Research #Lambda #Mathematical physics #Momentum (technical analysis) #Momentum transfer #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Pion #Proton #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Scattering #Singularity #hep-ph
paper · pdf · doi:10.1016/j.physletb.2021.136751
6 pages, 3 figures
arxiv created 2021/03/23 · openalex publication_date 2021/10/28 · arxiv updated 2021/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We perform a perturbative QCD analysis of the gluonic gravitational form factors (GFFs) of the proton and pion at large momentum transfer. We derive the explicit factorization formula of the GFFs in terms of the distribution amplitudes of hadrons. At the leading power, we find that the gluon GFFs Ag and Cg scale as Agπ(t)=Cgπ(t)∼1/(−t) for pion, Agp(t)∼1/(−t)2 and Cgp(t)∼ln2(−t/Λ2)/(−t)3 for proton, respectively, where t is the momentum transfer and Λ a non-perturbative scale to regulate the endpoint singularity in Cgp calculation. Our results provide a unique perspective of the momentum dependence of the GFFs and will help to improve our understanding of the internal pressure distributions of hadrons.