In no particular order the main non-oscillation studies being pursued are The study of the charm quark production. Studies of quark fragmentation.
Fragmentation is the process by which quarks combine to form the particles seen in the laboratory.
Closely allied to fragmentation is the study of particle numbers and spatial distributions that provides glimpses of the manner in which quarks interact. The studies of coherent and diffractive processes. The investigation of resonance formation and decay. Although obviously not the final word in our understanding of the intra-nucleon processes it goes a long way to explaining the data that are collected by high energy physics experiments. The theory must always be compared to experimental results as check on its validity.