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Quantifying truncation errors in effective field theory
Open accessAbstract
Bayesian procedures designed to quantify truncation errors in perturbative calculations of quantum chromodynamics observables are adapted to expansions in effective field theory (EFT). In the Bayesian approach, such truncation errors are derived from degree-of-belief (DOB) intervals for EFT predictions. Computation of these intervals requires specification of prior probability distributions (``priors'') for the expansion coefficients. By encoding expectations about the naturalness of these coefficients, this framework provides a statistical interpretation of the standard EFT procedure where truncation errors are estimated using the order-by-order convergence of the expansion. It also permits exploration of the ways in which such error bars are, and are not, sensitive to assumptions about EFT-coefficient naturalness. We first demonstrate the calculation of Bayesian probability distributions for the EFT truncation error in some representative examples and then focus on the application of chiral EFT to neutron-proton scattering. Epelbaum, Krebs, and Mei\ss{}ner recently articulated explicit rules for estimating truncation errors in such EFT calculations of few-nucleon-system properties. We find that their basic procedure emerges generically from one class of naturalness priors considered and that all such priors result in consistent quantitative predictions for 68% DOB intervals. We then explore several methods by which the convergence properties of the EFT for a set of observables may be used to check the statistical consistency of the EFT expansion parameter.
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Cites
Numerical recipes in C: the art of scientific computing
(1993) · Choice Reviews Online · doi:10.5860/choice.30-5638 · Cited by 17,933
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. (1987) · Technometrics · doi:10.1080/00401706.1987.10488304 · Cited by 6,702
Chiral perturbation theory to one loop
Gasser, J., & Leutwyler, H. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90242-2 · Cited by 4,022
Weinberg, S. (1979) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/0378-4371(79)90223-1 · Cited by 3,347
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
Entem, D. R., & Machleidt, R. (2003) · Physical Review C · doi:10.1103/physrevc.68.041001 · Cited by 1,574
Nuclear forces from chiral lagrangians
Weinberg, S. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90938-3 · Cited by 1,473
Baryon chiral perturbation theory using a heavy fermion lagrangian
Jenkins, E., & Manohar, A. V. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)90266-s · Cited by 1,060
Data Analysis: A Bayesian Tutorial
Sivia, D. S. (2006) · doi:10.1093/oso/9780198568315.001.0001 · Cited by 997
E FFECTIVE F IELD T HEORY FOR F EW-N UCLEON S YSTEMS
Bedaque, P. F., & van Kolck, U. (2002) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.52.050102.090637 · Cited by 760
Gregory, P. (2005) · doi:10.1017/cbo9780511791277 · Cited by 750
The two-nucleon system at next-to-next-to-next-to-leading order
Epelbaum, E., Glöckle, W., & Meißner, U.-G. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2004.09.107 · Cited by 666
Data Analysis: A Bayesian Tutorial
Fox, E. P. (1998) · Technometrics · doi:10.1080/00401706.1998.10485200 · Cited by 647
Three-nucleon forces from chiral effective field theory
Epelbaum, E., Nogga, A., Glöckle, W., Kamada, H., Meißner, U.-G., & Witała, H. (2002) · Physical Review C · doi:10.1103/physrevc.66.064001 · Cited by 615
Two-nucleon potential from chiral Lagrangians
Ordóñez, C., Ray, L., & van Kolck, U. (1996) · Physical Review C · doi:10.1103/physrevc.53.2086 · Cited by 546
Few-nucleon forces and systems in chiral effective field theory
Epelbaum, E. (2006) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2005.09.002 · Cited by 523
Few-nucleon forces from chiral Lagrangians
van Kolck, U. (1994) · Physical Review C · doi:10.1103/physrevc.49.2932 · Cited by 519
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
Epelbaum, E., Krebs, H., & Meißner, U. G. (2015) · The European Physical Journal A · doi:10.1140/epja/i2015-15053-8 · Cited by 468
Epelbaum, E., Glöckle, W., & Meißner, U.-G. (2000) · Nuclear Physics A · doi:10.1016/s0375-9474(99)00821-0 · Cited by 393
Renormalization of one-pion exchange and power counting
Nogga, A., Timmermans, R. G. E., & Kolck, U. V. (2005) · Physical Review C · doi:10.1103/physrevc.72.054006 · Cited by 360
Maximum-Entropy and Bayesian Methods in Science and Engineering
(1988) · Springer eBooks · doi:10.1007/978-94-009-3049-0 · Cited by 314
Accurate nucleon–nucleon potential based upon chiral perturbation theory
Entem, D. R., & Machleidt, R. (2002) · Physics Letters B · doi:10.1016/s0370-2693(01)01363-6 · Cited by 225
Grießhammer, H. W., McGovern, J. A., Phillips, D. R., & Feldman, G. D. (2012) · Progress in Particle and Nuclear Physics · doi:10.1016/j.ppnp.2012.04.003 · Cited by 139
Self-citationA recipe for EFT uncertainty quantification in nuclear physicsPreprint
Furnstahl, R. J., Phillips, D. R., & Wesolowski, S. (2016) · Cited by 133
Self-citationVéronique Bernard, A., & Meißner, U.-G. (2007) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140449 · Cited by 131
Improving the convergence of NN effective field theory
Phillips, D. R., Rupak, G., & A, M. J. S. (2000) · Physics Letters B · doi:10.1016/s0370-2693(99)01496-3 · Cited by 130
Self-citationA recipe for EFT uncertainty quantification in nuclear physics
Furnstahl, R. J., Phillips, D. R., & Wesolowski, S. (2015) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/42/3/034028 · Cited by 122
Self-citationEffective field theory for dilute Fermi systems
Hammer, H. ‐., & Furnstahl, R. J. (2000) · Nuclear Physics A · doi:10.1016/s0375-9474(00)00325-0 · Cited by 117
Self-citationRenormalizing chiral nuclear forces: Triplet channels
Long, B., & Yang, C.-J. (2012) · Physical Review C · doi:10.1103/physrevc.85.034002 · Cited by 110
Valderrama, M. P. (2011) · Physical Review C · doi:10.1103/physrevc.84.064002 · Cited by 97
Bayesian methods for parameter estimation in effective field theories
Schindler, M. R., & Phillips, D. R. (2008) · Annals of Physics · doi:10.1016/j.aop.2008.09.003 · Cited by 95
Self-citationRenormalizing chiral nuclear forces: A case study of 3P0
Long, B., & Yang, C.-J. (2011) · Physical Review C · doi:10.1103/physrevc.84.057001 · Cited by 76
Weinbergʼs approach to nucleon–nucleon scattering revisited
Epelbaum, E., & Gegelia, J. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.08.025 · Cited by 75
Marji, E., Canul, A., MacPherson, Q., Winzer, R., Zeoli, C., Entem, D. R., & Machleidt, R. (2013) · Physical Review C · doi:10.1103/physrevc.88.054002 · Cited by 62
Building light nuclei from neutrons, protons, and pions
Phillips, D. R. (2002) · Czechoslovak Journal of Physics · doi:10.1007/s10582-002-0079-z · Cited by 38
Self-citationBuilding light nuclei from neutrons, protons, and pionsPreprint
Phillips, D. R. (2002) · Cited by 37
Self-citation
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Hergert, H. (2020) · Frontiers in Physics · doi:10.3389/fphy.2020.00379 · Cited by 269
Metadata
- Authors
- Furnstahl, R. J., Klco, N., Phillips, D. R., & Wesolowski, S.
- Venue
- Physical Review C
- Publisher
- American Physical Society (APS)
- Published
- 2015-08-18
- Volume
- 92
- Issue
- 2
- ISSN
- 0556-2813 (ISSN-L)
- 1089-490X
- OpenAlex
- W610011498
- Cited by
- 279
- References
- 35
- FWCI
- 9.53
- Type
- journal article
- Language
- en
- Open access
- green
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