Gaussian process error modeling for chiral effective-field-theory calculations of np↔dγ at low energies

B. Acharya; S. Bacca

doi:10.1016/j.physletb.2022.137011

Gaussian process error modeling for chiral effective-field-theory calculations of np↔dγ at low energies

B. Acharya, S. Bacca

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12 Scopus citations

Abstract

We calculate the energy-dependent cross section of the np↔dγ process in chiral effective field theory and apply state-of-the-art tools for quantification of theory uncertainty. We focus on the low-energy regime, where the magnetic dipole and the electric dipole transitions cross over, including the range relevant for big-bang nucleosynthesis. Working with the leading one- and two-body electromagnetic currents, we study the order-by-order convergence of this observable in the chiral expansion of the nuclear potential. We find that the Gaussian process error model describes the observed convergence very well, allowing us to present Bayesian credible intervals for the truncation error with correlations between the cross sections at different energies taken into account. We obtain a 1σ estimate of about 0.2% for the uncertainty from the truncation of the nuclear potential. This is an important step towards calculations with statistically interpretable uncertainties for astrophysical reactions involving light nuclei.

Original language	English
Article number	137011
Journal	Physics Letters B
Volume	827
DOIs	https://doi.org/10.1016/j.physletb.2022.137011
State	Published - Apr 10 2022
Externally published	Yes

Funding

We are grateful to Jordan Melendez, Richard J Furnstahl and Daniel R Phillips for fruitful discussions. We would also like to thank Daniel R Phillips for a critical reading of the manuscript, Evgeny Epelbaum for providing us with computer programs for chiral potentials used in this work and the BUQEYE collaboration for making the library gsum publicly accessible. This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), through the Cluster of Excellence [Precision Physics, Fundamental Interactions, and Structure of Matter] (PRISMA + EXC 2118/1) within the German Excellence Strategy (Project ID 39083149 ).

Funders	Funder number
Deutsche Forschungsgemeinschaft	39083149, EXC 2118/1

Keywords

Bayesian analysis
Big Bang nucleosynthesis
Gaussian process
Machine learning
Uncertainty quantification

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10.1016/j.physletb.2022.137011

Cite this

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title = "Gaussian process error modeling for chiral effective-field-theory calculations of np↔dγ at low energies",

abstract = "We calculate the energy-dependent cross section of the np↔dγ process in chiral effective field theory and apply state-of-the-art tools for quantification of theory uncertainty. We focus on the low-energy regime, where the magnetic dipole and the electric dipole transitions cross over, including the range relevant for big-bang nucleosynthesis. Working with the leading one- and two-body electromagnetic currents, we study the order-by-order convergence of this observable in the chiral expansion of the nuclear potential. We find that the Gaussian process error model describes the observed convergence very well, allowing us to present Bayesian credible intervals for the truncation error with correlations between the cross sections at different energies taken into account. We obtain a 1σ estimate of about 0.2% for the uncertainty from the truncation of the nuclear potential. This is an important step towards calculations with statistically interpretable uncertainties for astrophysical reactions involving light nuclei.",

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AU - Acharya, B.

AU - Bacca, S.

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N2 - We calculate the energy-dependent cross section of the np↔dγ process in chiral effective field theory and apply state-of-the-art tools for quantification of theory uncertainty. We focus on the low-energy regime, where the magnetic dipole and the electric dipole transitions cross over, including the range relevant for big-bang nucleosynthesis. Working with the leading one- and two-body electromagnetic currents, we study the order-by-order convergence of this observable in the chiral expansion of the nuclear potential. We find that the Gaussian process error model describes the observed convergence very well, allowing us to present Bayesian credible intervals for the truncation error with correlations between the cross sections at different energies taken into account. We obtain a 1σ estimate of about 0.2% for the uncertainty from the truncation of the nuclear potential. This is an important step towards calculations with statistically interpretable uncertainties for astrophysical reactions involving light nuclei.

AB - We calculate the energy-dependent cross section of the np↔dγ process in chiral effective field theory and apply state-of-the-art tools for quantification of theory uncertainty. We focus on the low-energy regime, where the magnetic dipole and the electric dipole transitions cross over, including the range relevant for big-bang nucleosynthesis. Working with the leading one- and two-body electromagnetic currents, we study the order-by-order convergence of this observable in the chiral expansion of the nuclear potential. We find that the Gaussian process error model describes the observed convergence very well, allowing us to present Bayesian credible intervals for the truncation error with correlations between the cross sections at different energies taken into account. We obtain a 1σ estimate of about 0.2% for the uncertainty from the truncation of the nuclear potential. This is an important step towards calculations with statistically interpretable uncertainties for astrophysical reactions involving light nuclei.

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KW - Big Bang nucleosynthesis

KW - Gaussian process

KW - Machine learning

KW - Uncertainty quantification

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Gaussian process error modeling for chiral effective-field-theory calculations of np↔dγ at low energies

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Keywords

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