We analyze the phase diagram of QCD with four staggered flavors in the (μ, T ) plane using a method recently proposed by us. We explore the region T>=0.7T_C and μ<=1.4T_C, where T_C is the transition temperature at zero baryon density, and find a first order transition line. Our results are quantitatively compatible with those obtained with the imaginary chemical potential approach and the double reweighting method, in the region where these approaches are reliable, T>=0.9T_C and μ<=T_C. But, in addition, our method allows us to extend the transition line to lower temperatures and higher chemical potentials.
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