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Complete one-loop parametrization of the linear sigma model is performed andthe phase boundary between first order and crossover transition regions of them_pi-m_K-plane is determined using the optimized perturbation theory as aresummation tool of perturbative series. Away from the physical point theparameters of the model were determined by making use of chiral perturbationtheory. Along the diagonal m_pi=m_K of the mass--plane we estimate m_pi^c=110+- 20 MeV. The location of the tricritical point on the m_pi=0 axis isestimated in the interval m_K^TCP in (1700,1850) MeV.Comment: RevTeX4, 11 pages, 6 figures, with macro package feynm

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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Resummed one-loop determination of the phase boundary of theSU(3)R×SU(3)Llinear …