Interpreting the Electron EDM Constraint

TL;DR

The paper interprets the recent electron EDM constraint from ACME, analyzing its implications for various new physics models including SUSY and leptoquarks, and highlights its significance for future collider searches.

Contribution

It provides a comprehensive interpretation of the electron EDM bound across multiple new physics scenarios, including novel classifications of QULE operator generation mechanisms.

Findings

Electron EDM constraint probes multi-TeV scale new physics.

SUSY models are constrained with sleptons above 10 TeV.

Future EDM measurements motivate high-energy collider development.

Abstract

The ACME collaboration has recently announced a new constraint on the electron EDM, $|d_e| < 1.1 \times 10^{-29}\, e\, {\rm cm}$, from measurements of the ThO molecule. This is a powerful constraint on CP-violating new physics: even new physics generating the EDM at two loops is constrained at the multi-TeV scale. We interpret the bound in the context of different scenarios for new physics: a general order-of-magnitude analysis for both the electron EDM and the CP-odd electron-nucleon coupling; 1-loop SUSY, probing sleptons above 10 TeV; 2-loop SUSY, probing multi-TeV charginos or stops; and finally, new physics that generates the EDM via the charm quark or top quark Yukawa couplings. In the last scenario, new physics generates a "QULE operator" $(q_f \bar{\sigma}^{\mu \nu}{\bar u}_f) \cdot (\ell {\bar{\sigma}}_{\mu \nu} {\bar e})$, which in turn generates the EDM through RG evolution. If the QULE operator is generated at tree level, this corresponds to a previously studied leptoquark model. For the first time, we also classify scenarios in which the QULE operator is generated at one loop through a box diagram, which include SUSY and leptoquark models. The electron EDM bound is the leading constraint on a wide variety of theories of CP-violating new physics interacting with the Higgs boson or the top quark. We argue that any future nonzero measurement of an electron EDM will provide a strong motivation for constructing new colliders at the highest feasible energies.