A recipe for EFT uncertainty quantification in nuclear physics

Abstract

The application of effective field theory (EFT) methods to nuclear systems provides the opportunity to rigorously estimate the uncertainties originating in the nuclear Hamiltonian. Yet this is just one source of uncertainty in the observables predicted by calculations based on nuclear EFTs. We discuss the goals of uncertainty quantification in such calculations and outline a recipe to obtain statistically meaningful error bars for their predictions. We argue that the different sources of theory error can be accounted for within a Bayesian framework, as we illustrate using a toy model.

Final version for JPhysG Focus issue "Enhancing the interaction between nuclear experiment and theory through information and statistics"

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Error Estimates of Theoretical Models: a Guide
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• No-core shell model in an effective-field-theory framework
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Do we need N${}^3$LO Parton Distributions?

Cited by in corpus (83)

• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Quantifying truncation errors in effective field theory
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Chiral Effective Field Theory and the High-Density Nuclear Equation of State
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Neutron Star Radii, Universal Relations, and the Role of Prior Distributions
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Hyperons in nuclear matter from SU(3) chiral effective field theory
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Electric dipole polarizability from first principles calculations
• Lipkin model on a quantum computer
• Extrapolation of nuclear structure observables with artificial neural networks
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Effective field theory for nuclear vibrations with quantified uncertainties
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Performing Bayesian analyses with AZURE2 using BRICK: an application to the ${}^7$Be system
• Power counting in chiral effective field theory and nuclear binding
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• The Triton Charge Radius to Next-to-next-to-leading order in Pionless Effective Field Theory
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Can chiral EFT give us satisfaction?
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Local position-space two-nucleon potentials from leading to fourth order of chiral effective field theory
• $\alpha$ Decay Half-life Estimation and Uncertainty Analysis
• Electron Scattering and Neutrino Physics
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Extracting free-space observables from trapped interacting clusters
• Bayesian analysis of capture reactions ${}^3\mathrm{He}(\alpha ,\gamma {)}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma {)}^7\mathrm{Li}$
• Ab initio informed evaluation of the radiative capture of protons on ${}^7$Be
• Do we know how to count powers in pionless and pionful effective field theory?
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Unitary ambiguity of NN contact interactions and the 3N force
• Uncertainty quantification of an empirical shell-model interaction using principal component analysis
• Setting nonperturbative uncertainties on finite-temperature properties of neutron matter
• Low-energy bound states, resonances, and scattering of light ions
• Uncertainty quantification in electromagnetic observables of nuclei
• Effective field theory for vibrations in odd-mass nuclei
• Spin-polarized neutron matter at different orders of chiral effective field theory
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Properties of infrared extrapolations in a harmonic oscillator basis
• Effective field theory for deformed odd-mass nuclei
• Is the unusual near-threshold potential behavior in elastic scattering of weakly bound nuclei a precision error?
• Lattice Effective Field Theory Simulations of Nuclei
• The Coulomb interaction in Helium-3: Interplay of strong short-range and weak long-range potentials
• Parity-Violating Three Nucleon Interactions at Low Energies and Large-$N_C$
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
• Effective field theory of pairing rotations
• Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
• Theoretical study of the d(d,p)3H and d(d,n)3He processes at low energies
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Momentum dependent nucleon-nucleon contact interaction from a relativistic Lagrangian
• Low-energy theorems for neutron-proton scattering in $\chi$EFT using a perturbative power counting
• Local two- and three-nucleon chiral interactions
• Uncertain Data in Initial Boundary Value Problems: Impact on Short and Long Time Predictions
• Effective field theories for collective excitations of atomic nuclei
• Analytic insights on the information content of new observables
• Neural Quantum States for Light Nuclei with Chiral Two- and Three-Body Interactions
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• The Falsification of Nuclear Forces
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation
• Conformal prediction for uncertainties in nucleon-nucleon scattering
• Finite-range bias in fitting three-body loss to the zero-range model