Abstract
We illustrate the application of the recently developed SCETBSM framework in the context of a specific model, in which the Standard Model (SM) is supplemented by a heavy scalar S and three generations of heavy, vector-like quarks Ψ. We construct the appropriate effective field theory for two-body decays of S into SM particles. We explicitly compute the Wilson coefficients of the SCETBSM operators appearing at leading and next-to-leading order (NLO) in an expansion in powers of v/MS, as well as for a subset of operators arising at NNLO, retaining the full dependence on the ratio MS/MΨ. For the phenomenologically most relevant decay channels of the heavy scalar, we study the impact of resummation effects of Sudakov logarithms on the decay rates.