Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference68 articles.
1. C. Vafa and E. Witten, Restrictions on Symmetry Breaking in Vector-Like Gauge Theories, Nucl. Phys. B 234 (1984) 173 [INSPIRE].
2. G. ’t Hooft et al. eds., Recent Developments in Gauge Theories, in proceedings of the NATO Advanced Study Institute on Recent Developments in Gauge Theories, Cargese, Corsica, 26 August–8 September 8 1979, Nato Advanced Study Institute 59, Springer, Boston MA U.S.A. (1980) [INSPIRE].
3. M. Knecht and J. Stern, Generalized chiral perturbation theory, hep-ph/9411253 [INSPIRE].
4. M. Knecht, B. Moussallam, J. Stern and N. H. Fuchs, The Low-energy pi pi amplitude to one and two loops, Nucl. Phys. B 457 (1995) 513 [hep-ph/9507319] [INSPIRE].
5. S. Descotes-Genon, N. H. Fuchs, L. Girlanda and J. Stern, Resumming QCD vacuum fluctuations in three flavor chiral perturbation theory, Eur. Phys. J. C 34 (2004) 201 [hep-ph/0311120] [INSPIRE].
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献