How to use the Standard Model effective field theory

By B. Henning, Xiaochuan Lu, H. Murayama. 2014

330 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b8edf53e766a6103d3f3928a08b31e9ae48d41bf

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In Astronomy and Astrophysics

1. A. Manohar
2. E. Jenkins
3. R. Alonso
4. T. You
5. J. Quevillon
6. Veronica Sanz
7. John Ellis
8. C. Murphy

In Nuclear and High Energy Physics

1. T. You
2. Veronica Sanz
3. John Ellis
4. E. Jenkins
5. A. Manohar
6. R. Alonso
7. C. Murphy
8. J. Quevillon

Citations in the corpus

• Geometry of the scalar sector (2016, result): “[11, 55–58], which gives the same result as an earlier explicit computation by ’t Hooft [59].”
• Updated global SMEFT fit to Higgs, diboson and electroweak data (2018, methodology): “Run 1 LHC data were used to constrain degenerate stops in [54, 55], and non-degenerate stops in [56], where comparisons were made between the constraints obtained using the SMEFT and an exact one-loop calculation.”
• The universal one-loop effective action (2015, methodology): “In particular, we reproduce using our universal expression the HLM results for the universal one-loop effective action in the degenerate case [4], and the contributions of degenerate squarks to the coefficients of bosonic Higgs operators obtained in [14].”