Combine and Conquer

In this talk, I would present how beneficial a rightful combination could be: (i) in achieving local integrability of subtraction terms, (ii) in studying signal simulation of heavy colored particles. I would explain how to group together various NLO subtraction terms to make them locally integrable and how to combine single and pair production of heavy colored particles in new physics searches. The former would be advantageous for numerical approaches in higher-order calculations employing subtraction terms, while the later could be useful to get new information about model parameters and/or better exclusion limits.