# The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics

## TL;DR

This whitepaper discusses how Lattice QCD can support experimental searches for new physics and violations of fundamental symmetries through theoretical calculations related to various rare processes and precision measurements.

## Contribution

It outlines the objectives, priorities, and innovative research directions for Lattice QCD in fundamental symmetries over the next five years.

## Key findings

- LQCD provides critical theoretical support for symmetry violation experiments.
- Prioritized research areas include nucleon EDMs, proton decay, and neutrinoless double-beta decay.
- Highlights the need for innovation in numerical and analytical methods.

## Abstract

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for Lattice Quantum Chromodynamics (LQCD) in the research frontier in fundamental symmetries and signals for new physics. LQCD, in synergy with effective field theories and nuclear many-body studies, provides theoretical support to ongoing and planned experimental programs in searches for electric dipole moments of the nucleon, nuclei and atoms, decay of the proton, $n$-$\overline{n}$ oscillations, neutrinoless double-$\beta$ decay of a nucleus, conversion of muon to electron, precision measurements of weak decays of the nucleon and of nuclei, precision isotope-shift spectroscopy, as well as direct dark matter detection experiments using nuclear targets. This whitepaper details the objectives of the LQCD program in the area of Fundamental Symmetries within the USQCD collaboration, identifies priorities that can be addressed within the next five years, and elaborates on the areas that will likely demand a high degree of innovation in both numerical and analytical frontiers of the LQCD research.