Estimating parameters and making predictions for nucleon-nucleon scattering: the role of EFT truncation errors

ORAL

Abstract

Determination of low-energy constants (LECs) and their uncertainties is essential for the robust application of chiral effective field theory ($\chi$EFT). In this and the subsequent talk we take the first steps in applying our recently-developed Bayesian parameter-estimation framework to NN potentials derived from $\chi$EFT. Our Bayesian machinery consistently incorporates uncertainties from the EFT truncation in the estimation of the LECs that appear in the $\chi$EFT NN potential. Combining the resulting LEC posteriors with truncation uncertainties for observables yields rigorous, statistically meaningful error bars for $\chi$EFT predictions. The interplay of these two different sources of uncertainty as the order of the EFT calculation is increased will also be discussed.

*Research supported by the NSF and DOE

Authors

  • Daniel Phillips

    • Ohio University
  • Sarah Wesolowski

    • Salisbury University
  • Richard Furnstahl

    • Ohio State University
    • The Ohio State University
    • Ohio State U.
    • Ohio State Univ - Columbus