Electroweak Phase Transition in the MSSM: 4-Dimensional Lattice Simulations

TL;DR

This Letter carried out infinite volume and continuum limits and found a transition whose strength agrees well with perturbation theory, allowing MSSM electroweak baryogenesis at least up to m(h) = 103+/-4 GeV, and determined the properties of the bubble wall.

Abstract

Recent lattice results have shown that there is no Standard Model (SM) electroweak phase transition (EWPT) for Higgs boson masses above \approx 72 GeV, which is below the present experimental limit. According to perturbation theory and 3-dimensional (3d) lattice simulations there could be an EWPT in the Minimal Supersymmetric Standard Model (MSSM) that is strong enough for baryogenesis up to m_h \approx 105 GeV. In this letter we present the results of our large scale 4-dimensional (4d) lattice simulations for the MSSM EWPT. We carried out infinite volume and continuum limits and found a transition whose strength agrees well with perturbation theory, allowing MSSM electroweak baryogenesis at least up to m_h = 103 \pm 4 GeV. We determined the properties of the bubble wall that are important for a successful baryogenesis.

Figures (4)

• Figure 1: The phase diagram of the bosonic theory obtained by lattice simulations.
• Figure 2: The normalized jump and the critical temperature in the continuum limit.
• Figure 3: The cosmologically relevant $v/T_c>1$ region is below the lines.
• Figure 4: The profile of the bubble wall for both of the Higgs fields for the lattice $2\cdot L^2 \dot 192$.