Chiral Perturbation Theory at NNNLO

Hermansson-Truedsson, Nils (2020). Chiral Perturbation Theory at NNNLO. Symmetry, 12(8), p. 1262. MDPI 10.3390/sym12081262

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Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum p2, and until now the leading order (LO), next-to leading order (NLO), next-to-next-to leading order (NNLO) and next-to-next-to-next-to leading order (NNNLO) have been studied. In the following review we consider the construction of the Lagrangian and in particular focus on the NNNLO case. We in addition review and discuss the pion mass and decay constant at the same order, which are fundamental quantities to study for chiral perturbation theory. Due to the large number of terms in the Lagrangian and hence low energy constants arising at NNNLO, some remarks are made about the predictivity of this effective field theory.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Hermansson Truedsson, Nils

Subjects:

500 Science > 530 Physics

ISSN:

2073-8994

Publisher:

MDPI

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

16 Nov 2020 14:35

Last Modified:

05 Dec 2022 15:41

Publisher DOI:

10.3390/sym12081262

ArXiv ID:

2006.01430

BORIS DOI:

10.7892/boris.147956

URI:

https://boris.unibe.ch/id/eprint/147956

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