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Description
Recently, a new equation of state based on the two-dimensional T'-expansion scheme with a parametrizable critical point from the 3D Ising model was released [1]. It allows to produce a family of equations of state which can be used to study the effect of the critical point on the QCD phase diagram, crucial to infer its existence and location from experimental results. Employing the newly developed 4D T'-expansion scheme equation of state from lattice QCD [2], we are now extending the critical point contribution from the $(T, \mu_B)$ plane to a critical surface at finite $\mu_B,$ $\mu_Q$ and $\mu_S$. We present preliminary results of this generalization, where the critical surface at finite $(\mu_B, \mu_Q, \mu_S)$ can be parametrized using different functional forms.
[1] M. Kahangirwe, S. A. Bass, E. Bratkovskaya, J. Jahan, P. Moreau, P. Parotto, D. Price, C. Ratti, O. Soloveva, M. Stephanov, Phys.Rev.D 109 (2024) 9, 094046.
[2] A. Abuali et al., Phys.Rev.D 112 (2025) 5, 054502.
