Low-Energy Effective Theory, Unitarity, and Non-Decoupling Behavior in a Model with Heavy Higgs-Triplet Fields

Abstract

We discuss the properties of a model incorporating both a scalar electroweak Higgs doublet and an electroweak Higgs triplet. We construct the low-energy effective theory for the light Higgs-doublet in the limit of small (but nonzero) deviations in the rho parameter from one, a limit in which the triplet states become heavy. For small deviations in the rho parameter from one, perturbative unitarity of WW scattering breaks down at a scale inversely proportional to the renormalized vacuum expectation value of the triplet field (or, equivalently, inversely proportional to the square-root of the deviation of the rho parameter from one). This result imposes an upper limit on the mass-scale of the heavy triplet bosons in a perturbative theory; we show that this upper bound is consistent with dimensional analysis in the low-energy effective theory. Recent articles have shown that the triplet bosons do not decouple, in the sense that deviations in the rho parameter from one do not necessarily vanish at one-loop in the limit of large triplet mass. We clarify that, despite the non-decoupling behavior of the Higgs-triplet, this model does not violate the decoupling theorem since it incorporates a large dimensionful coupling. Nonetheless, we show that if the triplet-Higgs boson masses are of order the GUT scale, perturbative consistency of the theory requires the (properly renormalized) Higgs-triplet vacuum expectation value to be so small as to be irrelevant for electroweak phenomenology.

Revtex, 11 pages, 7 eps figures included; references updated and three footnotes added

References in corpus (13)

• Electroweak symmetry breaking from dimensional deconstruction
• Little Higgs Review
• One-loop Radiative Corrections to the rho Parameter in the Littlest Higgs Model
• Unification without supersymmetry: neutrino mass, proton decay and light leptoquarks
• How Can a Heavy Higgs Boson be Consistent with the Precision Electroweak Measurements?
• Precision observables in SU(2) x U(1) models with an additional Higgs triplet
• Higgs Triplets and Limits from Precision Measurements
• (Non)decoupling of the Higgs triplet effects
• Seesaw mechanism in the sneutrino sector and its consequences
• Analyticity, Crossing Symmetry and the Limits of Chiral Perturbation Theory
• Limits on a Composite Higgs Boson
• Constraining New Models with Precision Electroweak Data
• Violation of the Appelquist-Carazzone decoupling in non-SUSY GUT

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