Speaker
Description
A reliable estimation of the accuracy of theoretical calculations is crucial for meaningful comparisons with experimental data. In the framework of chiral Effective Field Theory (EFT), one significant source of theoretical error stems from truncating the EFT expansion, which accounts for the impact of neglected higher-order terms. Past studies have typically estimated truncation uncertainty by analyzing the convergence pattern of lower-order terms. This requires certain assumptions about the expansion pattern for an observable of interest. In particular, one usually assumes that the chiral EFT expansion for the nuclear Hamiltonian directly translates into the analogous expansion for observables, which might not be the case for fine-tuned nuclear systems. In this study, we explicitly incorporate and quantify the contributions from the neglected next higher-order terms in the Hamiltonian. We compute the truncation error by explicitly marginalizing over the parameters associated with the next-higher order in the EFT expansion across a natural range of values. The resulting truncation errors are then compared with those obtained through conventional methods, and various criteria for assessing naturalness are explored. Our research enhances the understanding of the convergence patterns within chiral EFT, pinpointing configurations where the theory exhibits the highest precision and identifying areas with potential for refinement.
