Disentangling a dynamical Higgs

Abstract

The pattern of deviations from Standard Model predictions and couplings is different for theories of new physics based on a non-linear realization of the $SU(2{)}_L\times U(1{)}_Y$ gauge symmetry breaking and those assuming a linear realization. We clarify this issue in a model-independent way via its effective Lagrangian formulation in the presence of a light Higgs particle, up to first order in the expansions: dimension-six operators for the linear expansion and four derivatives for the non-linear one. Complete sets of pure gauge and gauge-Higgs operators are considered, implementing the renormalization procedure and deriving the Feynman rules for the non-linear expansion. We establish the theoretical relation and the differences in physics impact between the two expansions. Promising discriminating signals include the decorrelation in the non-linear case of signals correlated in the linear one: some pure gauge versus gauge-Higgs couplings and also between couplings with the same number of Higgs legs. Furthermore, anomalous signals expected at first order in the non-linear realization may appear only at higher orders of the linear one, and vice versa. We analyze in detail the impact of both type of discriminating signals on LHC physics.

Version published in JHEP

References in corpus (20)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• PYTHIA 6.4 Physics and Manual
• FeynRules - Feynman rules made easy
• Light custodians in natural composite Higgs models
• Light scalar at LHC: the Higgs or the dilaton?
• Beyond the Minimal Composite Higgs Model
• The Lee-Wick Standard Model
• A Higgs-Higgs bound state due to New Physics at a TeV
• Search for the $b\bar{b}$ decay of the Standard Model Higgs boson in associated $(W/Z)H$ production with the ATLAS detector
• On the Power Counting in Effective Field Theories
• Electroweak Symmetry Breaking and the Higgs Boson: Confronting Theories at Colliders
• Phenomenology of a light scalar: the dilaton
• Measurement of the sum of WW and WZ production with W+dijet events in pp collisions at sqrt(s) = 7 TeV
• Constraining extra-fermion(s) from the Higgs boson data
• New Higgs interactions and recent data from the LHC and the Tevatron
• Measurement of the WW cross section in sqrt(s) = 7 TeV pp collisions with the ATLAS detector and limits on anomalous gauge couplings
• Higgs Couplings after the Discovery
• Precision Higgs coupling measurements at the LHC through ratios of production cross sections
• Scrutinizing the ZW+W- vertex at the Large Hadron Collider at 7 TeV

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