Home > Dispersion Relations for Electroweak Observables in Composite Higgs Models |
Article | |
Report number | arXiv:1511.00592 ; CERN-PH-TH-2015-280 ; CERN-PH-TH-2015-280 |
Title | Dispersion Relations for Electroweak Observables in Composite Higgs Models |
Author(s) | Contino, Roberto (CERN ; ITPP, Lausanne) ; Salvarezza, Matteo (INFN, Rome ; Rome U.) |
Publication | 2015-12-14 |
Imprint | 02 Nov 2015 |
Number of pages | 16 |
Note | Comments: 34 pages, 4 figures 34 pages, 4 figures. v2: a few minor changes, typos corrected, list of references revised |
In: | Phys. Rev. D 92 (2015) 115010 |
DOI | 10.1103/PhysRevD.92.115010 |
Subject category | Particle Physics - Phenomenology |
Abstract | We derive dispersion relations for the electroweak oblique observables measured at LEP in the context of $SO(5)/SO(4)$ composite Higgs models. It is shown how these relations can be used and must be modified when modeling the spectral functions through a low-energy effective description of the strong dynamics. The dispersion relation for the parameter $\epsilon_3$ is then used to estimate the contribution from spin-1 resonances at the 1-loop level. Finally, it is shown that the sign of the contribution to the $\hat S$ parameter from the lowest-lying spin-1 states is not necessarily positive definite, but depends on the energy scale at which the asymptotic behavior of current correlators is attained. |
Copyright/License | arXiv nonexclusive-distrib. 1.0 preprint: © 2015-2024 CERN (License: CC-BY-4.0) publication: © 2015-2024 The Author(s) (License: CC-BY-3.0) |