1) The document discusses revisiting the effects of decoupling in the running cosmological constant. It focuses on the renormalization group running of the cosmological constant within quantum field theory. 2) A case study examines the running of the cosmological constant using a real scalar field model. Calculations are performed in both the MS-bar and MOM renormalization schemes. 3) The standard model is also examined as a case study. The running of the induced and vacuum cosmological constants is calculated. 4) Applications include exploring connections between fine-tuning of the Higgs mass and cosmological constant in massless theories, and generalizing to theories in constant curvature space.