In 2010 when the CREMA Collaboration released their measurement of the proton radius (Pohl et. al (2010)) from muonic hydrogen spectroscopy: rp=0.84184(67) fm. This was seven standard deviations smaller than the accepted 2010 CODATA value (0.8768(69) fm). This discrepancy lies at the heart of the proton radius puzzle. The MUon-Proton Scattering Experiment (MUSE) was first proposed in 2012 to be the first muon-proton elastic scattering experiment with sufficient precision to address the proton radius puzzle. MUSE has the capacity to simultaneously measure elastic muon-proton, and electron-proton scattering, and switch polarities to measure with opposite charge states. As such, MUSE can directly measure the two-photon effect by comparing charge-states, and compare muon and electron scattering with minimal systematic error. By comparing the two measured scattering cross sections, the experiment will provide more data for the proton radius puzzle and determine if the radius is the same in electron and muon-proton scattering. We will review the motivation for and status of MUSE, which is due to begin production running in 2020. Initial analysis results will be shown from the summer 2019 beam time.

The invariant mass distribution of top quark pair production is an important observable whose threshold behavior is sensitive to top-quark mass. In this talk, I will focus on the invariant mass distribution of top-quark pair production in threshold region and soft region. I will first talk about the resummation of Coulomb corrections in threshold limit β → 0. We combine the resummation with fixed-order results and present phenomenologically relevant numeric results. We find that the resummation effect significantly enhances the differential cross section in the threshold region, and makes the theoretical prediction more compatible with experimental data. As for soft limit z → 1, I’ll talk about the calculation of NNLO soft function which is a major bottleneck in pushing up the soft resummation accuracy of top-quark pair production. We show the non-trivial structure of three-parton correlations and the consistent extraction of NNLO soft fragmentation function. At the end, I’ll show the preliminary results of hard function and its application to transverse momentum resummation for top-quark pair production and decay in the future.