Ultraviolet Properties of the Higgs Sector in the Lee-Wick Standard Model

Abstract

The Lee-Wick (LW) Standard Model (SM) offers a new solution to the hierarchy problem. We discuss, using effective potential techniques, its peculiar ultraviolet (UV) behaviour. We show how quadratic divergences in the Higgs mass Mh cancel as a result of the unusual dependence of LW fields on the Higgs background (in a manner reminiscent of Little Higgses). We then extract from the effective potential the renormalization group evolution of the Higgs quartic coupling lambda above the LW scale. After clarifying an apparent discrepancy with previous results for the LW Abelian Higgs model we focus on the LWSM. In contrast with the SM case, for any Mh, lambda grows monotonically and hits a Landau pole at a fixed trans-Planckian scale (never turning negative in the UV). Then, the perturbativity and stability bounds on Mh disappear. We identify a cutoff ~10^{16} GeV for the LWSM due to the hypercharge gauge coupling hitting a Landau pole. Finally, we also discuss briefly the possible impact of the UV properties of the LW models on their behaviour at finite temperature, in particular regarding symmetry nonrestoration.

25 pages, 3 figures

References in corpus (12)

• The Probable Fate of the Standard Model
• The Lee-Wick Standard Model
• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• Minimal Lee-Wick Extension of the Standard Model
• Searching for Lee-Wick Gauge Bosons at the LHC
• Neutrino Masses in the Lee-Wick Standard Model
• Electroweak Precision Data and the Lee-Wick Standard Model
• One-Loop Renormalization of Lee-Wick Gauge Theory
• Electroweak precision constraints on the Lee-Wick Standard Model
• Flavor Changing Neutral Currents in the Lee-Wick Standard Model
• Lee-Wick Theories at High Temperature
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders

Cited by in corpus (13)

• Higgs ultraviolet softening
• Is negative kinetic energy meta-stable?
• A fake doublet solution to the muon anomalous magnetic moment
• Probing features of the Lee-Wick quantum electrodynamics
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• Collider Bounds on Lee-Wick Higgs Bosons
• Features of planar Lee-Wick electrodynamics
• Dirichlet boundary condition for the Lee-Wick-like scalar model
• Systematic analysis of 3HDM symmetries
• Extra Dimensions and Fuzzy Branes in String-inspired Nonlocal Field Theory
• A toy model based analysis on the effect of the Lee-Wick partners in the evolution of the early universe
• Vacuum stability with radiative Yukawa couplings
• Optical theorem and indefinite metric in $\lambda {\varphi }^4$ delta-theory