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Interpreting measurements requires a physical theory, but the theory's accuracy may vary across the experimental domain. To optimize experimental design, and so to ensure that the substantial resources necessary for modern experiments are…

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with…

Nuclear Theory · Physics 2013-04-30 Bingwei Long , C. -J. Yang

Chiral effective field theory (chiEFT) provides a systematic approach to describe low-energy nuclear forces. Moreover, chiEFT is able to provide well-founded estimates of statistical and systematic uncertainties -- although this unique…

[Abridged] This review article presents the progress made over the last decade, since the introduction of effective field theories (EFTs) into post-Newtonian (PN) gravity. These have been put forward in the context of gravitational waves…

High Energy Physics - Theory · Physics 2020-06-19 Michèle Levi

Born in the aftermath of core collapse supernovae, neutron stars contain matter under extraordinary conditions of density and temperature that are difficult to reproduce in the laboratory. In recent years, neutron star observations have…

Nuclear Theory · Physics 2021-05-27 C. Drischler , J. W. Holt , C. Wellenhofer

An introduction to methods of effective field theory is given. Examples are presented, including Rayleigh scattering from nonrelativistic quantum mechnics, chiral perturbation theory/QCD as well as electromagnetic and weak interactions of…

Nuclear Theory · Physics 2011-07-19 Barry R. Holstein

Chiral EFT yields singular potentials that require regularization and renormalization when implemented in a dynamical equation such as the Lippmann--Schwinger equation. We employ two different approaches, renormalization with contact terms…

Nuclear Theory · Physics 2026-05-22 Q. N. Micha-Mba , M. S. Sánchez , P. G. Ortega , J. A. Oller , D. R. Entem

Attempts to apply effective field theory (EFT) methods to nonrelativistic nucleon-nucleon (NN) scattering have raised questions about the nature and limitations of an EFT expansion when used nonperturbatively. We discuss the characteristics…

Nuclear Theory · Physics 2009-10-31 James V. Steele , R. J. Furnstahl

Ever since quantum field theory was first applied to the derivation of nuclear forces in the mid-20th century, the renormalization of pion exchange with realistic couplings has presented a challenge. The implementation of effective field…

Nuclear Theory · Physics 2020-03-17 U. van Kolck

We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius,…

High Energy Physics - Phenomenology · Physics 2021-05-19 L. Zalavari , C. P. Burgess , P. Hayman , M. Rummel

Background: Effective interactions for nucleon-nucleus ($NA$) elastic scattering from first principles require the use of the same nucleon-nucleon ($NN$) interaction in the structure and reaction calculations, and a consistent treatment of…

Nuclear Theory · Physics 2022-12-28 R. B. Baker , B. McClung , Ch. Elster , P. Maris , S. P. Weppner , M. Burrows , G. Popa

I review the main features of the effective field theory (EFT) behind scenarios of dynamical electroweak symmetry breaking, placing particular emphasis on the systematics and the parallels that can be drawn with Chiral Perturbation Theory.…

High Energy Physics - Phenomenology · Physics 2015-12-23 Oscar Cata

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…

Nuclear Theory · Physics 2016-05-13 R. J. Furnstahl , D. R. Phillips , S. Wesolowski

We discuss the application of an effective field theory (EFT) which incorporates the chiral symmetry of QCD to Compton scattering from the proton and deuteron. We describe the chiral EFT analysis of the proton Compton scattering database…

Nuclear Theory · Physics 2015-06-11 Daniel R. Phillips , Judith A. McGovern , Harald W. Griesshammer

I discuss the conditions under which the application of chiral perturbation theory to the NN potential gives reliable results for NN scattering phase shifts. ChiPT also yields a convergent expansion for the deuteron charge operator. For…

Nuclear Theory · Physics 2015-05-20 Daniel R. Phillips

Chiral effective field theory ($\chi$EFT) is a powerful tool for studying electroweak processes in nuclei. I discuss $\chi$EFT calculations of three key nuclear electroweak processes: primordial deuterium production, proton-proton fusion,…

Nuclear Theory · Physics 2024-04-18 Bijaya Acharya

The effective field theory of NN interactions in nuclear matter is considered. Due to the Pauli principle the effective NN amplitude is not affected by the shallow bound states. We show that the next-to-leading order terms in the chiral…

Nuclear Theory · Physics 2007-05-23 B. Krippa

We study the scattering of Dark Matter particles off various light nuclei within the framework of chiral effective field theory. We focus on scalar interactions and include one- and two-nucleon scattering processes whose form and strength…

High Energy Physics - Phenomenology · Physics 2017-10-04 C. Körber , A. Nogga , J. de Vries

The chiral effective field theory (ChEFT) is an extension of the chiral perturbation theory that includes the nuclear forces and weak currents at the hadronic and nuclear scales. We propose a systematic framework of parametrising the…

High Energy Physics - Phenomenology · Physics 2025-01-27 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the…

High Energy Physics - Theory · Physics 2024-09-17 Yue-Zhou Li