# Lattice QCD and nuclear physics for searches of physics beyond the Standard Model

## TL;DR

This paper discusses how combining Lattice QCD and nuclear Effective Field Theories enhances the precision of low-energy tests for new physics beyond the Standard Model, addressing theoretical uncertainties in interpreting experimental results.

## Contribution

It introduces a framework integrating Lattice QCD with chiral Effective Field Theory to improve predictions for low-energy experiments probing beyond Standard Model physics.

## Key findings

- Progress in non-standard $eta$ decays analysis
- Advances in neutrinoless double beta decay predictions
- Enhanced understanding of electric dipole moments

## Abstract

Low-energy tests of fundamental symmetries are extremely sensitive probes of physics beyond the Standard Model, reaching scales that are comparable, if not higher, than directly accessible at the energy frontier. The interpretation of low-energy precision experiments and their connection with models of physics beyond the Standard Model relies on controlling the theoretical uncertainties induced by the nonperturbative nature of QCD at low energy and of the nuclear interactions. In these proceedings, I will discuss how the interplay of Lattice QCD and nuclear Effective Field Theories can lead to improved predictions for low-energy experiments, with controlled uncertainties. I will describe the framework of chiral Effective Field Theory, and then discuss a few examples, including non-standard $\beta$ decays, neutrinoless double beta decay and searches for electric dipole moments, to highlight the progress achieved in recent years, and the role that Lattice QCD will play in addressing the remaining open problems.