# $\boldsymbol{C\!P}\!$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC

## TL;DR

This paper explores how $CP$-violating Higgs-gauge interactions affect low- and high-energy experiments, showing low-energy measurements currently provide stronger constraints than the LHC, with implications for future collider searches.

## Contribution

It systematically analyzes $CP$ violation in Higgs-gauge interactions using effective field theory, connecting low-energy EDM and $B$ decay constraints with high-energy collider prospects.

## Key findings

- Low-energy measurements impose stronger constraints than the LHC.
- Allowed regions in coupling space are highly correlated and distinctive.
- High-luminosity LHC can probe the characteristic patterns of $CP$ violation.

## Abstract

We investigate the interplay between the high- and low-energy phenomenology of $C\!P$-violating interactions of the Higgs boson with gauge bosons. For this purpose we use an effective field theory approach and consider all dimension-6 operators arising in so-called universal theories. We compute their loop-induced contributions to electric dipole moments and the $C\!P$ asymmetry in $B\to X_s\gamma$, and compare the resulting current and prospective constraints to the projected sensitivity of the LHC. Low-energy measurements are shown to generally have a far stronger constraining power, which results in highly correlated allowed regions in coupling space, a distinctive pattern that could be probed at the high-luminosity LHC.