Stabilizing the Higgs potential with a Z${}^{\prime }$

Abstract

Current data point toward metastability of the electroweak vacuum within the Standard Model. We study the possibility of stabilizing the Higgs potential in U(1) extensions thereof. A generic Z${}^{\prime }$ boson improves stability of the scalar potential in two ways: it increases the Higgs self--coupling, due to a positive contribution to the beta--function of the latter, and it decreases the top quark Yukawa coupling, which again has a stabilizing effect. We determine the range of U(1) charges which leads to a stable electroweak vacuum. In certain classes of models, such stabilization is possible even if the Z${}^{\prime }$ does not couple to the Higgs and is due entirely to the reduction of the top Yukawa coupling. We also study the effect of the kinetic mixing between the extra U(1) and hypercharge gauge fields.

14 pages, 7 figures; a typo in Delta V fixed, references added

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• Cosmological implications of the Higgs mass measurement
• Supersymmetric Standard Model from the Heterotic String (II)
• The windows for kinetically mixed Z'-mediated dark matter and the galactic center gamma ray excess
• Search for heavy narrow dilepton resonances in pp collisions at sqrt(s) = 7 TeV and sqrt(s) = 8 TeV
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Cited by in corpus (6)

• Dark Matter from a Classically Scale-Invariant $SU(3{)}_X$
• Classically conformal U(1)' extended standard model, electroweak vacuum stability, and LHC Run-2 bounds
• Do metric fluctuations affect the Higgs dynamics during inflation?
• Phenomenology of minimal Z' models: from the LHC to the GUT scale
• U(1)' coupling constant at low energies from heterotic orbifolds
• Stability of the vacuum as constraint on $U$(1) extensions of the standard model