Differentiable Multi-scale Effective Field Theory Likelihoods for Beyond the Standard Model Phenomenology

Probing heavy new physics beyond the Standard Model (SM) increasingly relies on global effective field theory (EFT) likelihoods. We introduce differentiable, multi-scale EFT likelihoods that combine renormalization-group evolution, matching, observable predictions, and experimental constraints in a single differentiable framework. This enables modern gradient-based frequentist and Bayesian inference in large parameter spaces. We demonstrate these capabilities in two 374-parameter SMEFT analyses, making basis-independent, fully multi-scale global EFT analyses feasible in practice.