Abstract

A recently proposed new mechanism of D-term triggered dynamical supersymmetry breaking is reviewed. Supersymmetry is dynamically broken by nonvanishing D-term vacuum expectation value, which is realized as a nontrivial solution of the gap equation in the self-consistent approximation as in the case of Nambu-Jona-Lasinio model and BCS superconductivity.

Highlights

  • Supersymmetry (SUSY) is one of the attractive solutions to the hierarchy problem, but it has to be broken spontaneously at low energy because of undiscovered superparticles

  • Itoyama and the present author [9,10,11] in which the nonvanishing vacuum expectation value (VEV) of D-term is dynamically realized as a nontrivial solution of the gap equation in the self-consistent Hartree-Fock approximation as in the case of Nambu-Jona-Lasinio (NJL) model [12, 13] and BCS superconductivity [14, 15]

  • The gauge sector is extended to be N = 2 supersymmetric, and gaugino becomes massive by the D-term VEV through the Dirac mass term with N = 2 partner fermion of gaugino

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Summary

Introduction

Supersymmetry (SUSY) is one of the attractive solutions to the hierarchy problem, but it has to be broken spontaneously at low energy because of undiscovered superparticles. The mechanism of dynamical SUSY breaking (DSB) by F-term has been much explored [4,5,6,7,8], models of DSB by D-term were not known. Itoyama and the present author [9,10,11] in which the nonvanishing vacuum expectation value (VEV) of D-term is dynamically realized as a nontrivial solution of the gap equation in the self-consistent Hartree-Fock approximation as in the case of Nambu-Jona-Lasinio (NJL) model [12, 13] and BCS superconductivity [14, 15]. We elaborate upon our treatment of the effective potential with the three kinds of background fields as well as the point of the Hartree-Fock approximation in Refs. Section five will discuss the lifetime of our SUSY breaking vacuum.

Original reasoning of DDSB
Fermionic part
Bosonic part
Connection with the previous work
The effective potential in the Hartree-Fock approximation
The tree part
Treatment of UV infinity
The one-loop part
Variational analyses
Numerical study of the gap equation
Mass of the scalar gluons
Choice of regularization and subtraction scheme
Lifetime of metastable SUSY breaking vacuum
Higgs Mass
Higgs potential and variations
Estimate of the Higgs mass
Summary
Full Text
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