Uncertainty quantification in pionless effective field theory*

Effective field theories (EFTs) offer a rigorous connection of quantum chromodynamics to the low energy regime of nuclear structure and interactions. While high-quality effective interactions have been produced that can successfully replicate experimental data, they suffer from the same shortcoming that plagues much of theoretical nuclear physics: a lack of error estimation. Currently, EFT models have been used in calculations with rudimentary uncertainty quantification, but rigorous and systematic treatments are still missing. To remedy this, we have introduced an implementation of Markov Chain Monte Carlo (MCMC) for EFT parameter estimation. The parameter estimation is then propagated to calculations of observables. Further, treatment of uncertainty from the truncation of the EFT is also included for a more complete examination of the error.