LAUSR

Recognizing the potential of effective field theories to posit multiple beyond Standard Model (BSM) scenarios in a similar footing with a possibility to compare them, we inspect the effects of 11 single scalar-multiplet extensions of the SM on the combined set of electroweak precision observables and Higgs signal strength data by systematically integrating out the heavy multiplets and computing the resulting Standard Model effective field theory operators and Wilson coefficients (WCs) up to one-loop level. Noting that multiple BSM models give rise to a degenerate set of WCs, we then perform Bayesian statistical inference both directly on the BSM parameters and on the associated set of independent WCs. Using the posteriors of the BSM parameters, we infer the respective (correlated) WC distributions and compare both the model-independent and -dependent analyses by overlaying the 2D marginal WC posteriors from both processes, thus laying the groundwork for a data-driven attempt to compare diverse BSM theories of different origins, and hopefully, a possible way to approach the intractable inverse problem. We also demonstrate, with an example model, the crucial role of theoretical constraints to rule out large chunks of BSM parameter spaces. All numerical results are available on GitHub.