Precision test plays a vital role in particle physics. It allows us to probe the physics beyond the Standard Model (SM) indirectly. The study of proton-proton collisions at the Large Hadron Collider (LHC), together with previous measurements from other experiments, in particular at the Large Electron-Positron Collider (LEP), has allowed us to test the electroweak Standard Model to an unprecedented level of accuracy. To fully appreciate the experimental measurement, it is crucial to have reliable and precise predictions from theory. Hence, the calculations beyond leading order in perturbation theory become distinctly important. The successors of those Colliders in the future, such as CEPC, FCC-ee, and ILC, will elevate the experimental precision for Electroweak precision observables (EWPO) immensely. Hence, one must also push the precision calculations for the theoretical predictions of those EWPOs within the SM to a well-matched level. This narrative will lead my research in two aspects: computing the higher-order correction to the EWPOs by using perturbative Quantum Field Theory and developing a new program package under the demand from the study of Z resonance peak at future lepton colliders. Besides, I also have broad interests in vast topics in particle physics, including developing perturbative calculation techniques and the study of astro-particle physics in the early universe.