Bayesian parameter estimation in chiral effective field theory using the Hamiltonian Monte Carlo method
Artikel i vetenskaplig tidskrift, 2022

The number of low-energy constants (LECs) in chiral effective field theory (chi EFT) grows rapidly with increasing chiral order, necessitating the use of Markov chain Monte Carlo techniques for sampling their posterior probability density function. For this we introduce a Hamiltonian Monte Carlo (HMC) algorithm and sample the LEC posterior up to next-to-next-to-leading order (NNLO) in the two-nucleon sector of chi EFT. We find that the sampling efficiency of HMC is three to six times higher compared to an affine-invariant sampling algorithm. We analyze the empirical coverage probability and validate that the NNLO model yields predictions for two-nucleon scattering data with largely reliable credible intervals, provided that one ignores the leading-order EFT expansion parameter when inferring the variance of the truncation error. We also find that the NNLO truncation error dominates the error budget.


Isak Svensson

Chalmers, Fysik, Subatomär, högenergi- och plasmafysik

Andreas Ekström

Chalmers, Fysik, Subatomär, högenergi- och plasmafysik

Christian Forssén

Chalmers, Fysik, Subatomär, högenergi- och plasmafysik

Physical Review C

24699985 (ISSN) 24699993 (eISSN)

Vol. 105 1 014004

Svaga och sällsynta processer i atomkärnan: fundamentala symmetrier och mörk materia

Vetenskapsrådet (VR) (2017-04234), 2018-01-01 -- 2021-12-31.

Strong interactions for precision nuclear physics (PrecisionNuclei)

Europeiska kommissionen (EU) (EC/H2020/758027), 2018-02-01 -- 2023-01-31.


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