Speakers
Description
With a large momentum transfer, high energy lepton-hadron deep inelastic scattering induces both QCD and QED radiations. In this talk, we present the first NLO calculation of inclusive single hadron/jet production at large transverse momentum in lepton-hadron scattering in a joint QCD and QED factorization approach [1]. Both QCD and QED collision-induced radiation are treated equally and their collinear sensitivities are systematically factorized into corresponding universal lepton and parton distribution functions. As a result, the scattering cross section is factorized into a convolution of infrared-safe hard coefficient functions with universal lepton distribution functions (LDFs) and parton distribution functions (PDFs) of the colliding lepton and hadron, respectively, together with fragmentation functions (FFs) of the observed hadron (or jet). With the joint QCD and QED factorization, the DGLAP-type evolution equations for LDFs, PDFs, and FFs are necessary to have evolution kernels calculated in both QCD and QED [2]. We discuss the strategy for extracting the universal and non-perturbative LDFs and derive a set of LDFs for our calculations. We present our predictions for inclusive single hadron (and jet) production at the energies of Jefferson Lab and the future Electron-Ion Collider. We also discuss the unique role of this process in comparing and complementing the better-studied inclusive deep inelastic scattering [3] and semi-inclusive deep inelastic scattering.
[1] “A new approach to semi-inclusive deep-inelastic scattering with QED and QCD factorization,” T. Liu, et al. JHEP11 (2021) 157.
[2] “Physics case for quarkonium studies at the Electron Ion Collider,” D. Boer, et al. arXiv:2409.03691
[3] “Factorized QED Contribution to Lepton-Hadron DIS,” J. Cammarota, et al. arXiv:2408.08377
