2025/12/09 by Xie, Xiupeng, Lu, Zhun
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research
paper · doi:10.48550/arxiv.2512.08292
We present the perturbative calculation of the leading-twist gluon transverse momentum dependent distribution functions (TMDPDFs) at one-loop level within large-momentum effective theory. By employing the basis of circular polarizations, we generalize the gluon-gluon correlator to a matrix ΦΛΛ^′ij(x,\bmkT2;S) in the gluon ⊗ hadron spin space. Incorporating the transverse momentum of external states, we derive the leading-twist gluon TMDPDFs and quasi-TMDPDFs at one-loop level. Our calculations reveal nonzero distributions for the gluon TMDPDFs f1T⊥ g(x,\bmkT2), h1⊥ g(x,\bmkT2), h1Tg(x,\bmkT2), and h1T⊥ g(x,\bmkT2). These findings enable future lattice QCD simulations to extract these gluon TMDPDFs, which will facilitate a complete determination of nucleon tomography.