The ChPT: top-down and bottom-up

A bstract In this work, higher-derivative corrections of the non-linear sigma model of both even and odd intrinsic-parity sectors are systematically studied, focusing on ordered amplitudes of flavor scalars in massless limit. It should correspond to a theory known as chiral perturbation theory (ChPT...

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Bibliographic Details
Published in:	The journal of high energy physics 2021-12, Vol.2021 (12), p.1-37, Article 140
Main Author:	Kampf, Karol
Format:	Article
Language:	eng
Subjects:	Amplitudes Chiral dynamics Classical and Quantum Gravitation Effective Field Theories Elementary Particles Field theory Matrix methods Operators (mathematics) Perturbation theory Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quantum theory Quarks Regular Article - Theoretical Physics Relativity Theory S matrix theory Scalars Scattering Amplitudes Sigma Models String Duality String Theory Symmetry
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Summary:	A bstract In this work, higher-derivative corrections of the non-linear sigma model of both even and odd intrinsic-parity sectors are systematically studied, focusing on ordered amplitudes of flavor scalars in massless limit. It should correspond to a theory known as chiral perturbation theory (ChPT) without external sources and with only single-trace operators. We briefly overview its formal development and apply new S -matrix methods to its amplitude constructions. The bottom-up analysis of the tree-level amplitudes of different orders and multiplicities focuses on the formal structure of general ChPT. Possible theoretical simplifications based on the Kleiss-Kuijf and Bern-Carrasco-Johansson relations are presented. Finally, in the same context, the comparison with the so-called Z -function, which is connected with string theory, is also discussed.
ISSN:	1029-8479 1029-8479