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We study the production of relic gravitational waves (GWs) in turbulenthypermagnetic fields (HMFs) in the symmetric phase of the early universe beforethe electroweak phase transition (EWPT). The noise of HMFs is modeled by theanalog of the magnetic hydrodynamics turbulence. The evolution of HMFs isdriven by the analogs of the chiral magnetic effect and the Adler anomalies inthe presence of the nonzero asymmetries of leptons and Higgs bosons. We trackthe evolution of the energy density of GWs from 10 TeV down to EWPT and analyzeits dependence on the parameters of the system. We also discuss the possibilityto observe the predicted GW background by the current GW detectors.

Gravitational waves generation in turbulent hypermagnetic fields before the electroweak phase transition