Abstract
We present a practical three-step procedure of using the Standard Model effective field theory (SM EFT) to connect ultraviolet (UV) models of new physics with weak scale precision observables. With this procedure, one can interpret precision measurements as constraints on a given UV model. We give a detailed explanation for calculating the effective action up to one-loop order in a manifestly gauge covariant fashion. This covariant derivative expansion method dramatically simplifies the process of matching a UV model with the SM EFT, and also makes available a universal formalism that is easy to use for a variety of UV models. A few general aspects of RG running effects and choosing operator bases are discussed. Finally, we provide mapping results between the bosonic sector of the SM EFT and a complete set of precision electroweak and Higgs observables to which present and near future experiments are sensitive. Many results and tools which should prove useful to those wishing to use the SM EFT are detailed in several appendices.
Highlights
The discovery of a Standard Model (SM)-like Higgs boson [1, 2] is a milestone in particle physics
We present a practical three-step procedure of using the Standard Model effective field theory (SM EFT) to connect ultraviolet (UV) models of new physics with weak scale precision observables
This covariant derivative expansion method dramatically simplifies the process of matching a UV model with the SM EFT, and makes available a universal formalism that is easy to use for a variety of UV models
Summary
The discovery of a Standard Model (SM)-like Higgs boson [1, 2] is a milestone in particle physics. We study a complete set of the Higgs and EW precision observables that present and possible near future experiments can have a decent 1% or better sensitivity on These include the seven Electroweak precision observables (EWPO) S, T, U, W, Y, X, V up to p4 order in the vacuum polarization functions, the three independent triple gauge couplings (TGC), the deviation in Higgs decay widths {Γh→ff, Γh→gg, Γh→γγ, Γh→γZ , Γh→W W ∗ , Γh→ZZ∗ }, and the deviation in Higgs production cross sections at both lepton and hadron colliders {σggF , σW W h, σW h, σZh}. The general analysis we present for calculating the Higgs decay widths and production cross sections completely applies to fermionic operators
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