# New Physics Probes: Atomic Parity Violation, Polarized Electron Scattering and Neutrino-Nucleus Coherent Scattering

## TL;DR

This paper reviews how atomic parity violation, polarized electron scattering, and neutrino-nucleus scattering can be used to probe new physics beyond the Standard Model, especially through precise measurements and effective field theory.

## Contribution

It establishes correlations between atomic parity violation and neutrino scattering using SU(2) invariance and applies bounds to various new physics models.

## Key findings

- Precise measurements of the Weinberg angle can constrain light mediators.
- Correlations between APV and neutrino scattering enhance new physics searches.
- Bounds on models like Dark Z and 3-3-1 are derived from parity violation data.

## Abstract

Atomic Parity Violation (APV) is usually quantified in terms of the weak nuclear charge $Q_W$ of a nucleus, which depends on the coupling strength between the atomic electrons and quarks. In this work, we review the importance of APV to probing new physics using effective field theory. Furthermore, using $SU(2)$ invariance, we correlate our findings with those from neutrino-nucleus coherent scattering. Moreover, we investigate signs of parity violation in polarized electron scattering and show how precise measurements on the Weinberg angle, $\sin \theta_W$, will give rise to competitive bounds on light mediators over a wide range of masses and interactions strength. Lastly, apply our bounds to several models namely, Dark Z, Two Higgs Doublet Model-$U(1)_X$ and 3-3-1, considering both light and heavy mediator regimes.