The ChPT: top-down and bottom-up
Abstract
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.
Cite
@article{arxiv.2109.11574,
title = {The ChPT: top-down and bottom-up},
author = {Karol Kampf},
journal= {arXiv preprint arXiv:2109.11574},
year = {2022}
}
Comments
35 pages, 9 figures, v2: new subsection added (O(p10) order), v3: minor changes, accepted for publication in JHEP