Running beyond ALPs: shift-breaking and CP-violating effects

TL;DR

This paper derives the renormalization group equations for an extended Standard Model EFT with a scalar singlet, exploring shift-breaking and CP-violating effects, and provides a computational tool for phenomenological analysis.

Contribution

It presents the first complete one-loop RGEs for the scalar singlet extension of the Standard Model EFT, including shift-breaking effects and a new Mathematica package for their use.

Findings

New correlations among Higgs couplings predicted

Enhanced electric dipole moment constraints derived

Quantification of shift-breaking effects in parameter space

Abstract

We compute the renormalization group equations (RGEs) of the Standard Model effective field theory (EFT) extended with a real scalar singlet, up to dimension-five and one-loop accuracy. We compare our renormalization results with those found in the shift-symmetry preserving limit, which characterizes axion-like particles (ALPs). The matching and running equations below the electroweak scale are also obtained, including the mixing effects in the scalar sector. Such mixing leads to interesting phenomenological consequences that are absent in the EFT at the renormalizable level, namely new correlations among the triplet and quartic Higgs couplings are predicted. All RGEs obtained in this work are implemented in a new Mathematica package - ALPRunner, together with functions to solve the running numerically for an arbitrary set of UV parameters. As an application, we obtain the improved electric dipole moment constraints on particular regions of the singlet parameter space, and quantify the level of shift-breaking in these regions.