Abstract
We compute all the tree-level contributions to the Wilson coefficients of the dimension-six Standard-Model effective theory in ultraviolet completions with general scalar, spinor and vector field content and arbitrary interactions. No assumption about the renormalizability of the high-energy theory is made. This provides a complete ultraviolet/infrared dictionary at the classical level, which can be used to study the low-energy implications of any model of interest, and also to look for explicit completions consistent with low-energy data.
Highlights
The discovery of the Higgs boson at the Large Hadron Collider (LHC) [1, 2] has represented a monumental step towards a deeper understanding of the mechanism of electroweak symmetry breaking in Nature
It has implied a shift in the main physics goal of the LHC, which has turned its focus onto the search of new physics beyond the Standard Model (SM)
Even if it is certainly possible that new physics is waiting for us just around the corner and that it will be directly produced at the LHC in the near future, it seems quite likely that it will stay beyond kinematic reach in the decades
Summary
The discovery of the Higgs boson at the Large Hadron Collider (LHC) [1, 2] has represented a monumental step towards a deeper understanding of the mechanism of electroweak symmetry breaking in Nature. Once such a classification is available, the Wilson coefficients in the IR effective theory can be computed in terms of the masses and couplings of the UV theory This information will constitute a complete UV/IR dictionary at the leading order, which provides a direct link between experimental data and the parameters of any new physics model that can give such contributions. The selected fields that contribute at the leading order have the characteristic property of allowing for linear couplings to the SM fields This classification is useful beyond its direct application to effective field theories, as it provides an exhaustive list of the new particles that can be singly produced in particle colliders at the classical level and via renormalizable interactions. The top-down dictionary is given in appendix C and the bottom-up one, which collects the expressions of the Wilson coefficients as functions of the UV parameters, is reproduced in appendix D
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