Title: Uncertainty estimation and anomaly detection in chiral effective field theory studies of key nuclear electroweak processes

Abstract: Chiral effective field theory ($\chi$EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss $\chi$EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton-proton fusion, and magnetic dipole excitations of $^{48}\mathrm{Ca}$. This article showcases $\chi$EFT's ability to quantify theory uncertainties at the appropriate level of rigor for addressing the different precision demands of these three processes.