Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory

@article{Svensson2022BayesianEO,
  title={Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory},
  author={Isak Svensson and Andreas Ekstr{\"o}m and Christian Forss'en},
  journal={Physical Review C},
  year={2022}
}
We use Bayesian methods and Hamiltonian Monte Carlo (HMC) sampling to infer the posterior probability density (PDF) for the low-energy constants (LECs) up to next-to-next-to-next-to-leading order (N3LO) in a chiral effective field theory ( χ EFT) description of the nucleon-nucleon interaction. In a first step, we condition the inference on neutron-proton and proton-proton scattering data and account for uncorrelated χ EFT truncation errors. We demonstrate how to successfully sample the 31… 

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