2025/10/20 by Naoyuki Haba, Yasuhiro Shimizu, Haba, Naoyuki +3
Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2510.17259
We investigate the cosmological phase transition dynamics in a supersymmetric left-right symmetric model based on the gauge group SU(3)C × SU(2)L × SU(2)R × U(1)B-L that addresses the strong CP problem through extended parity symmetry and doublet-doublet splitting. We compute the finite temperature effective potential including one-loop Coleman-Weinberg corrections, thermal contributions, and daisy resummation to determine whether the SU(2)R × U(1)B-L → U(1)Y symmetry breaking transition can produce observable gravitational waves. For phenomenologically viable parameters satisfying current LHC constraints, we find that the phase transition is strongly first-order with nucleation temperature Tn ∼ 0.5 vR, transition strength parameter α∼ 0.01-0.3, and inverse duration β/H ∼ 100. The resulting stochastic gravitational wave background peaks at frequencies f ∼ 0.1-1 Hz with amplitude h2ΩGW ∼ 10-14-10-12. We find that there is a parameter region where the gravitational wave spectrum overlaps with DECIGO/BBO sensitivity curves, providing a potentially observable signature connecting the theoretical solution to the strong CP problem with gravitational wave experiments.