We present the first application of the unbiased exponential resummation (UER) method to the determination of the QCD pseudocritical temperature ${\mathrm{T}}_{\mathrm{pc}}$ at vanishing baryon chemical potential ${\mu }_B$. By reconstructing the finite-density baryon number susceptibility ${\chi }_2^B$, we define two thermal-derivative observables whose peak positions yield ${\mathrm{T}}_{\mathrm{pc}}^T=160.2(4)(3)\mathrm{MeV}$ and ${\mathrm{T}}_{\mathrm{pc}}^C=158.1(5)(3)\mathrm{MeV}$. We also show that the pseudocritical temperature, ${\mathrm{T}}_{\mathrm{pc}}^{\chi }$ obtained from the peak of the fourth-order baryon number susceptibility ${\chi }_4^B$ is consistent with these determinations and with previous lattice-QCD results based on Taylor expansions [1]. Further, we demonstrate that scaling relations [2] between ${\chi }_4^B$ and the thermal derivatives of ${\chi }_2^B$ yield mutually consistent estimates of the leading second order curvature coefficient ${\kappa }_2^B$ at the corresponding pseudocritical temperatures. A direct analysis of the ${\mu }_B$ dependence of the pseudocritical temperatures provides an independent but substantially less constrained determination of the curvature, which remains statistically consistent with the scaling-based estimates. These results demonstrate the consistency of this UER method with the expected scaling behavior and establish it as a complementary approach for probing the QCD crossover at small finite baryon density.

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• Lattice QCD
• Resummation methods
• Gluons
• Quarks
• Hybrid Monte Carlo algorithm
• Lattice gauge theory
• Path-integral Monte Carlo
• Statistical methods
• Stochastic processes & statistics