The ChPT: top-down and bottom-up

Autor: Kampf, Karol
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP12(2021)140
Popis: 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.
Comment: 35 pages, 9 figures, v2: new subsection added (O(p10) order), v3: minor changes, accepted for publication in JHEP
Databáze: arXiv