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Title: 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 UV behavior. We show how quadratic divergences in the Higgs mass M{sub h} 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 M{sub h}, {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 M{sub h} disappear. We identify a cutoff {approx}10{sup 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 behavior at finite temperature, in particular, regarding symmetry nonrestoration.

Authors:
 [1];  [2]
  1. ICREA, Institucio Catalana de Recerca i Estudis Avancats, Barcelona, Spain at IFAE, Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona (Spain)
  2. Department of Physics, University of California, San Diego, California 92093 (United States)
Publication Date:
OSTI Identifier:
21537755
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 83; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.83.075019; (c) 2011 American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; EVOLUTION; GAUGE INVARIANCE; HIGGS BOSONS; HIGGS MODEL; HYPERCHARGE; MASS; RENORMALIZATION; STABILITY; STANDARD MODEL; SYMMETRY; ULTRAVIOLET RADIATION; BOSONS; ELECTROMAGNETIC RADIATION; ELEMENTARY PARTICLES; FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; POSTULATED PARTICLES; QUANTUM FIELD THEORY; RADIATIONS; UNIFIED GAUGE MODELS

Citation Formats

Espinosa, Jose R., and Grinstein, Benjamin. Ultraviolet properties of the Higgs sector in the Lee-Wick standard model. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.075019.
Espinosa, Jose R., & Grinstein, Benjamin. Ultraviolet properties of the Higgs sector in the Lee-Wick standard model. United States. doi:10.1103/PHYSREVD.83.075019.
Espinosa, Jose R., and Grinstein, Benjamin. Fri . "Ultraviolet properties of the Higgs sector in the Lee-Wick standard model". United States. doi:10.1103/PHYSREVD.83.075019.
@article{osti_21537755,
title = {Ultraviolet properties of the Higgs sector in the Lee-Wick standard model},
author = {Espinosa, Jose R. and Grinstein, Benjamin},
abstractNote = {The Lee-Wick (LW) standard model (SM) offers a new solution to the hierarchy problem. We discuss, using effective potential techniques, its peculiar UV behavior. We show how quadratic divergences in the Higgs mass M{sub h} 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 M{sub h}, {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 M{sub h} disappear. We identify a cutoff {approx}10{sup 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 behavior at finite temperature, in particular, regarding symmetry nonrestoration.},
doi = {10.1103/PHYSREVD.83.075019},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 83,
place = {United States},
year = {Fri Apr 01 00:00:00 EDT 2011},
month = {Fri Apr 01 00:00:00 EDT 2011}
}