# Time Reversal Violation in Light Nuclei

## TL;DR

This paper derives the TRV nucleon-nucleon and three-nucleon potentials within chiral effective field theory and evaluates the EDM of light nuclei, aiding in identifying TRV sources from experimental measurements.

## Contribution

It provides a complete derivation of TRV interactions up to N2LO in chiEFT and applies them to compute light nuclei EDMs, including three-body forces and error analysis.

## Key findings

- Derived TRV potentials up to N2LO in chiEFT
- Calculated EDMs of 2H, 3H, and 3He nuclei
- Analyzed effects of TRV three-body forces and theoretical uncertainties

## Abstract

Time Reversal Violation (TRV) interactions between quarks which appear in Standard Model (SM) and beyond-SM theories can induce TRV components in the nucleon-nucleon potential. The effects of these components can be studied by measuring the electric dipole moment (EDM) of light nuclei. In this work we present a complete derivation of the TRV nucleon-nucleon and three-nucleon potential up to next-to-next-to leading order (N2LO) in a chiral effective field theory (chiEFT) framework. The TRV interaction is then used to evaluate the EDM of 2H, 3H and 3he focusing in particular on the effects of the TRV three-body force and on the calculation of the theoretical errors. In case of a measurement of the EDM of these nuclei, the result of present work would permit to determine the values of the low energy constants and to identify the source of TRV.