Pinning down the Standard Model - Precision phenomenology at the LHC

The Standard Model of Particle Physics (SM) represents humanity's current understanding of the microscopic universe. Precise measurements of scattering processes are a cornerstone of the LHC physics programme and allow us to test the SM with high precision. Besides experimental measurements, higher-order perturbative predictions, particularly in Quantum Chromodynamics, are necessary to overcome the limitations posed by theoretical uncertainties. In this talk, besides giving an overview of the state-of-the-art in precision phenomenology at the LHC, I will explore this in the context of polarised boson production at the LHC, a signature sensitive to the electroweak sector of the SM. Here, precise and accurate predictions of differential cross sections are crucial for exploiting sensitivity to the Higgs sector and electroweak symmetry breaking.