The National Science Foundation (NSF) awarded a $314,999 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Michigan State University (MSU) for the research activities of Professor C.-P. Yuan. The project aims to develop theoretical methods to extract critical information from Quantum Chromodynamics (QCD) theory, which is essential for interpreting experimental data from the CERN Large Hadron Collider. Key objectives include extracting updated parton distribution functions, incorporating higher-order QCD and QED corrections, and refining techniques to analyze PDF uncertainties and their implications for important physics processes at high-energy colliders, particularly the LHC. The project is expected to advance fundamental discovery and understanding of physical laws, while also providing training for junior physicists and developing new course curricula based on the research results. The award period is from Aug 1, 2023 to Jul 31, 2026.