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<p>We investigate the cosmological phase transition dynamics in a supersymmetric left-right symmetric model based on the gauge group SU(3)<sub><i>C</i></sub> × SU(2)<sub><i>L</i></sub> × SU(2)<sub><i>R</i></sub> × U(1)<sub><i>B−L</i></sub> 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)<sub><i>R</i></sub> × U(1)<sub><i>B</i>−<i>L</i></sub> → U(1)<sub><i>Y</i></sub> 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 <i>T</i><sub><i>n</i></sub> ~ 0.5<i>v</i><sub><i>R</i></sub>, transition strength parameter <i>α</i> ~ 0.01 – 0.3, and inverse duration <i>β</i>/<i>H</i> ~ 100. The resulting stochastic gravitational wave background peaks at frequencies <i>f</i> ~ 0.1 – 1 Hz with amplitude <i>h</i><sup>2</sup>Ω<sub>GW</sub> ~ 10<sup>−14</sup> – 10<sup>−12</sup>. 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.</p>

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Gravitational waves from phase transition in a supersymmetric left-right model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月16日

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  • Naoyuki Haba,
  • Yasuhiro Shimizu,
  • Toshifumi Yamada

摘要

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 ~ 0.5vR, 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.