Renormalization group evolution of the universal theories EFT

Abstract

The conventional oblique parameters analyses of precision electroweak data can be consistently cast in the modern framework of the Standard Model effective field theory (SMEFT) when restrictions are imposed on the SMEFT parameter space so that it describes universal theories. However, the usefulness of such analyses is challenged by the fact that universal theories at the scale of new physics, where they are matched onto the SMEFT, can flow to nonuniversal theories with renormalization group (RG) evolution down to the electroweak scale, where precision observables are measured. The departure from universal theories at the electroweak scale is not arbitrary, but dictated by the universal parameters at the matching scale. But to define oblique parameters, and more generally universal parameters at the electroweak scale that directly map onto observables, additional prescriptions are needed for the treatment of RG-induced nonuniversal effects. We perform a RG analysis of the SMEFT description of universal theories, and discuss the impact of RG on simplified, universal-theories-motivated approaches to fitting precision electroweak and Higgs data.

25 pages + appendices and references, 2 figures, 3 tables

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• Top-Quark Physics at the CLIC Electron-Positron Linear Collider
• $\mathbf{C}\mathbf{P}$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC
• Single Top Production at Next-to-Leading Order in the Standard Model Effective Field Theory
• SMEFT and the Drell-Yan Process at High Energy
• The $\hat{H}$-Parameter: An Oblique Higgs View
• QCD radiative corrections for $h\to b\bar{b}$ in the Standard Model Dimension-6 EFT
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Matching Matters!
• New Physics at Tera-$Z$: Precision Renormalised
• Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
• Higgs, top and electro-weak precision measurements at future $e^{+}{e}^{-}$ colliders; a combined effective field theory analysis with renormalization mixing
• Custodial Symmetry (Violation) in SMEFT