2020/06/07 by Aurore Courtoy, A. ~Courtoy, Santiago Noguera +1
Physics and Astronomy · #Bilinear interpolation #Factorization #High-Energy Particle Collisions Research #Lattice (music) #Particle physics theoretical and experimental studies #Parton #Pion #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quark #Quark model #hep-ph #nucl-th
paper · pdf · doi:10.1140/epjc/s10052-020-08470-1
19 pages, 9 figures. arXiv admin note: text overlap with arXiv:1909.09530
arxiv created 2020/06/07 · openalex created_date 2020/06/19 · openalex publication_date 2020/10/01 · arxiv updated 2020/10/28 · openalex updated_date 2026/08/05
Abstract We present an analysis of two-current correlations for the pion in the Nambu–Jona-Lasinio model, with Pauli–Villars regularization. We provide explicit expressions in momentum space for two-current correlations corresponding to the zeroth component of the vector Dirac bilinear in the quark vertices, which has been evaluated on the lattice, thinking to applications in a high energy framework, as a step towards the calculation of pion double parton distributions. The numerical results show a remarkable qualitative agreement with recent lattice data. The factorization approximation into one-body currents is discussed based on previous evaluation of the relevant low energy matrix elements in the Nambu–Jona-Lasinio model, confirming the lattice result.