Abstract
Recognizing the potential of effective field theories to posit multiple BSM scenarios in 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 SMEFT 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 2-D marginal WC-posteriors from both processes, thus laying the ground 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. The entirety of numerical results is available in GitHub.
Highlights
Despite the immense success of the Standard Model (SM), it is still inadequate to explain a plethora of phenomena in the high-energy physics spectrum
Using the matching results, the Wilson coefficients (WCs) generated in a specific beyond Standard Model (BSM) scenario and expressed in terms of the respective model parameters lead to the direct statistical bounds on the BSM parameters from the observables considered
To obtain the bounds on the model parameters, first the low-energy observables are written in terms of dimensionsix Standard Model effective field theory (SMEFT) WCs and the SM parameters and they are mapped to the effective theory by expressing the WCs as functions of the BSM couplings and the cutoff scale Λ8 following Secs
Summary
Despite the immense success of the Standard Model (SM), it is still inadequate to explain a plethora of phenomena in the high-energy physics spectrum. These correlations are a result of their dependence on the model parameters Matching each of these BSMs with SMEFT, we generate the effective operators and their corresponding WCs in terms of the BSM parameters. Using the matching results, the WCs generated in a specific BSM scenario and expressed in terms of the respective model parameters lead to the direct statistical bounds on the BSM parameters from the observables considered. We summarize both the experimental inputs and the SM expressions of the observables
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