High-order perturbative expansions of multi-parameter Phi⁴ quantum field theories

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We present high-order pertubative expansions of multi-parameter Phi⁴ quantum field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Multi-parameter Phi⁴ theories generalize the simplest O(N)-symmetric Phi⁴ theories, and describe more complicated symmetry breaking patterns. These notes collect several high-order perturbative series of physically interesting multi-parameter Phi⁴ theories, to five or six loops. We consider the O(M)XO(N)-symmetric Phi⁴ model, the so-called MN model, and a spin-density-wave Phi⁴ model containing five quartic terms.