Universal Bounds for SU(3) Low Energy Constants
| dc.creator | Mateu, V. | |
| dc.date | 2008-01-23 | |
| dc.date | 2008-05-26 | |
| dc.date.accessioned | 2026-07-07T11:55:29Z | |
| dc.date.available | 2026-07-07T11:55:29Z | |
| dc.description | In this paper bounds for L_1, L_2 and L_3 are obtained in Chiral Perturbation Theory with three flavours. At the same time we test the compatibility of this theory with axiomatic principles. Following a recent paper we use dispersion relations to write positivity conditions that translate into bounds for the chiral low energy constants. As a first approach we consider the exact SU(3)_V limit and notice that if a common mass of the order of that of the kaon is adopted for the octet of pseudo-Goldstone bosons the bounds have very large O(p^6) corrections. Once the positivity conditions are adapted to account for different masses, we correct the previous bounds for a physical kaon mass and find that they tighten. We observe an overlap between the experimentally determined region and the first principles forbidden region, in the space of parameters. | |
| dc.description | 6 pages, 1 figure. Two references added. Some minor changes. Published version | |
| dc.identifier | https://arxiv.org/abs/0801.3627 | |
| dc.identifier | http://arxiv.org/abs/0801.3627 | |
| dc.identifier | Phys.Rev.D77:094020,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.094020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/205258 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Universal Bounds for SU(3) Low Energy Constants | |
| dc.type | text |