Towards $1\mu 1p$ Single Transverse Variable Cross Sections in $\mu$BooNE

Current and future generation neutrino oscillation experiments aim towards a high-precision measurement of neutrino oscillation parameters. To do so requires an unprecedented understanding of neutrino-nucleus scattering and an excellent reconstruction of the incoming neutrino energy. In this work, we utilize variables characterising kinematic imbalances in the plane transverse to an incoming neutrino, thus acting as a direct probe of nuclear effects such as final state interactions, Fermi motion, and nucleon-nucleon correlations. We present our progress towards the first charged current differential cross-section with no final state pions and a single final state proton in these variables using data recorded by the MicroBooNE LArTPC detector. These measurements will permit the community to better understand the impact of nuclear effects on observables useful to neutrino scattering, providing valuable constraints on the systematic uncertainties associated with neutrino oscillation and scattering measurements both in near future experiments such as the Short Baseline Neutrino Program as well as forthcoming experiments such as DUNE.