One-loop effects from spin-1 resonances in Composite Higgs models

Contino, Roberto; Salvarezza, Matteo

doi:10.1007/JHEP07(2015)065

Article
Report number	arXiv:1504.02750 ; CERN-PH-TH-2015-081 ; CERN-PH-TH-2015-081
Title	One-loop effects from spin-1 resonances in Composite Higgs models
Author(s)	Contino, Roberto (ITPP, Lausanne ; CERN) ; Salvarezza, Matteo (INFN, Rome ; Rome U.)
Publication	2015-07-13
Imprint	10 Apr 2015
Number of pages	46
Note	45 pages, 13 figures. v2: minor corrections, conclusions unchanged. v3: two diagrams in Fig.13 correctly redrawn
In:	JHEP 07 (2015) 065
DOI	10.1007/JHEP07(2015)065
Subject category	Particle Physics - Phenomenology
Abstract	We compute the 1-loop correction to the electroweak observables from spin-1 resonances in SO(5)/SO(4) composite Higgs models. The strong dynamics is modeled with an effective description comprising the Nambu-Goldstone bosons and the lowest-lying spin-1 resonances. A classification is performed of the relevant operators including custodially-breaking effects from the gauging of hypercharge. The 1-loop contribution of the resonances is extracted in a diagrammatic approach by matching to the low-energy theory of Nambu-Goldstone bosons. We find that the correction is numerically important in a significant fraction of the parameter space and tends to weaken the bounds providing a negative shift to the S parameter.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2015-2025 CERN (License: CC-BY-4.0) publication: © 2015-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

$\small One-loop diagrams relative to the Higgs contribution to the epsilon parameters. Wavy, continuous and dashed lines denote respectively gauge fields ($W^\pm$ and $Z$), NG bosons of $SO(4)/SO(3)$ ($\pi^{1,2,3}$) and the Higgs boson.$ $\small One-loop diagrams relative to the Higgs contribution to the epsilon parameters. Wavy, continuous and dashed lines denote respectively gauge fields ($W^\pm$ and $Z$), NG bosons of $SO(4)/SO(3)$ ($\pi^{1,2,3}$) and the Higgs boson.$ $\small One-loop diagram with one insertion of $O_{3}^\pm$ and $O_4^\pm$ (crossed vertex) contributing to the running of $\tilde c_{3W}$ and $\tilde c_{3B}$ in the low-energy theory. Wavy and continuous lines denote respectively gauge fields ($W$ and $B$) and NG bosons of $SO(5)/SO(4)$ ($\pi^{\hat a}$).$ Show more plots

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Record created 2015-04-13, last modified 2023-10-04

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