Coupling domain wall networks to dynamical expansion shows the scaling attractor is lost, leading to wall-dominated frustration.
Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
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abstract
We calculate the proton lifetime and discuss topological defects in a wide class of non-supersymmetric (non-SUSY) $SO(10)$ and $E(6)$ Grand Unified Theories (GUTs), broken via left-right subgroups with one or two intermediate scales (a total of 9 different scenarios with and without D-parity), including the important effect of threshold corrections. By performing a goodness of fit test for unification using the two-loop renormalisation group evolution equations (RGEs), we find that the inclusion of threshold corrections significantly affects the proton lifetime, allowing several scenarios, which would otherwise be excluded, to survive. Indeed we find that the threshold corrections are a saviour for many non-SUSY GUTs. For each scenario we analyse the homotopy of the vacuum manifold to estimate the possible emergence of topological defects.
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An SU(5) GUT model uses an intermediate breaking to SO(3)_C × SO(2)_L realized by adjoint, symmetric tensor, and singlet scalars plus singlet fermions so that monopoles annihilate via cosmic strings, with possible first-order restoration producing detectable GWs.
SO(10) scalar threshold corrections generate the Higgs quartic enhancement factor k≈6 required by radiative electroweak symmetry breaking, placing the Landau pole at 1.5-2×10^16 GeV near the GUT scale.
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Loss of the Scaling Attractor in Self-Gravitating Domain Wall Networks
Coupling domain wall networks to dynamical expansion shows the scaling attractor is lost, leading to wall-dominated frustration.