The S parameter for a Light Composite Higgs: a Dispersion Relation Approach

Abstract

We derive a dispersion relation for the S parameter in the SO(5)/SO(4) Minimal Composite Higgs model. This generalizes the Peskin-Takeuchi formula to the case when a light Higgs boson is present in the spectrum. Our result combines an IR effect due to the reduction in the Higgs boson couplings with a UV contribution from the strong sector. It also includes a finite matching term, achieving a very good relative accuracy O(m_h/m_ρ). We apply our formula in several toy examples, modeling the UV spectral density via Vector Meson Dominance.

21 pages, no figures; v2: references added, typos corrected; v3: accuracy estimate revised, comparison with gauge formalism made more precise, other minor improvements, version to appear in JHEP; v4: misprints corrected, footnote added

References in corpus (16)

• Beyond the Minimal Composite Higgs Model
• General Composite Higgs Models
• The Higgs boson from an extended symmetry
• Bounds in 4D Conformal Field Theories with Global Symmetry
• Is the resonance at 125 GeV the Higgs boson?
• First Glimpses at Higgs' face
• The Composite Higgs and Light Resonance Connection
• Global Analysis of the Higgs Candidate with Mass ~ 125 GeV
• A 125 GeV composite Higgs boson versus flavour and electroweak precision tests
• $h\to \gamma \gamma$ excess and Dark Matter from Composite Higgs Models
• Higgs discovery: the beginning or the end of natural EWSB?
• Composite Higgs Sketch
• Vector-like quarks in a composite Higgs model
• Heavy Vectors in Higgs-less models
• Simple and Realistic Composite Higgs Models in Flat Extra Dimensions
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models

Cited by in corpus (26)

• QCD and strongly coupled gauge theories: challenges and perspectives
• The Composite Nambu-Goldstone Higgs
• Composite Higgses
• Renormalization Group Scaling of Higgs Operators and Γ(h -> γγ)
• Light top partners and precision physics
• Vices and Virtues of Higgs EFTs at Large Energy
• Electroweak Symmetry Breaking and the Higgs Boson: Confronting Theories at Colliders
• Direct and indirect signals of natural composite Higgs models
• New Prospects for Higgs Compositeness in h -> Z gamma
• A UV complete partially composite-pNGB Higgs
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• The minimal linear sigma model for the Goldstone Higgs
• Extending the Analysis of Electroweak Precision Constraints in Composite Higgs Models
• Exotic Vector-Like Quark Phenomenology in the Minimal Linear $\sigma$ Model
• The Effect of Composite Resonances on Higgs decay into two photons
• E6 inspired composite Higgs model
• Top Seesaw with a Custodial Symmetry, and the 126 GeV Higgs
• LHC signatures of neutral pseudo-Goldstone boson in the E6CHM
• Non Minimal Terms in Composite Higgs Models and in QCD
• Baryon asymmetry generation in the E6CHM
• S and T for SCFTs
• Dispersion Relations for Electroweak Observables in Composite Higgs Models
• One-loop effects from spin-1 resonances in Composite Higgs models
• Higgs couplings and electroweak observables: a comparison of precision tests
• SU(5)xSU(5)' unification and D2 parity: Model for composite leptons
• Probing the Top-Higgs Sector with Composite Higgs Models at Present and Future Hadron Colliders