Abstract

We analyse the gravitational wave and low energy signatures of a Pati-Salam phase transition. For a Pati-Salam scale of MPS ∼ 105 GeV, we find a stochastic power spectrum within reach of the next generation of ground-based interferometer experiments such as the Einstein Telescope, in parts of the parameter space. We study the lifetime of the proton in this model, as well as complementarity with low energy constraints including electroweak precision data, neutrino mass measurements, lepton flavour violation, and collider constraints.

Highlights

  • PS symmetry breaking can in principle lead to a first order phase transition [25], so long as the post-inflation reheating temperature is larger than the breaking scale, which is favoured by the parameters of the theory

  • We study this parameter space, and show that the PS transition may lead to a stochastic spectrum which is observable in the generation of ground-based interferometer experiments, such as the Einstein Telescope [26,27,28,29,30], and the Cosmic Explorer [31]

  • The Pati-Salam phase transition is a unique candidate for a gravitational wave spectrum which peaks within the frequency windows of ground-based interferometer experiments

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Summary

A first order Pati-Salam phase transition

The Pati-Salam model [2] is a good candidate for a first order phase transition which peaks within the frequency windows of the generation of ground-based interferometer experiments. It can admit a low energy symmetry breaking scale, MPS < 107 GeV, which implies that the stochastic spectrum peaks within the experimental reach, fpeak 103 Hz [49]. We construct a model with a PS and a left-right (LR) symmetric group, GLR = SU(3)c × SU(2)L × SU(2)R × U(1)B−L [50,51,52], as intermediate scales from an unified UV model, e.g. SO(10), with the breaking chain, SO(10) → GPS → GLR → GSM,. Upon the construction of this model we aim to achieve gauge coupling unification and at the same time keep the PS breaking scale low MPS < 107 GeV

Scalar field content
Gauge coupling unification
Thermal potential
Strength of the phase transition
Gravitational wave spectrum
Complementarity with low energy probes
Neutrino masses
Lepton flavour violation
Collider searches
Proton decay
Discussion and conclusion
A Scalar potential
B Thermal parameters
C Gravitational wave spectrum

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