QCD crossover temperature and curvature coefficient from unbiased exponential resummation at physical quark masses in (2+1)-flavor lattice QCD
Abstract
We present the first application of the unbiased exponential resummation method to the determination of the QCD pseudocritical temperature Tpc at vanishing baryon chemical potential μB. By reconstructing the finite-density baryon number susceptibility χ2B, we define two thermal-derivative observables whose peak positions yield TpcT=160.2(4)(3) MeV and TpcC=158.1(5)(3) MeV. We also show that the pseudocritical temperature, Tpcχ obtained from the peak of the fourth-order baryon number susceptibility χ4B is consistent with these determinations and with previous lattice-QCD results based on Taylor expansions \cite{Bollweg:2022Pade}. Further, we demonstrate that scaling relations \cite{Bollweg:2022fqq} between χ4B and the thermal derivatives of χ2B yield mutually consistent estimates of the leading second order curvature coefficient κ2B at the corresponding pseudocritical temperatures. A direct analysis of the μB 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 unbiased exponential resummation with the expected scaling behavior and establish it as a complementary approach for probing the QCD crossover at small finite baryon density.
Versions
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BibTeX
@misc{mitra2026crossover,
title = {{QCD crossover temperature and curvature coefficient from unbiased exponential resummation at physical quark masses in (2+1)-flavor lattice QCD}},
author = {Sabarnya Mitra},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.19330},
eprint = {2608.19330},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.19330},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - QCD crossover temperature and curvature coefficient from unbiased exponential resummation at physical quark masses in (2+1)-flavor lattice QCD
AU - Sabarnya Mitra
PY - 2026
DA - 2026/10/31
PB - arXiv
DO - 10.48550/arxiv.2608.19330
UR - https://arxiv.org/abs/2608.19330
AB - We present the first application of the unbiased exponential resummation method to the determination of the QCD pseudocritical temperature T_pc at vanishing baryon chemical potential μ_B. By reconstructing the finite-density baryon number susceptibility χ_2^B, we define two thermal-derivative observables whose peak positions yield T_pc^T=160.2(4)(3) MeV and T_pc^C=158.1(5)(3) MeV. We also show that the pseudocritical temperature, T_pc^χ obtained from the peak of the fourth-order baryon number susceptibility χ_4^B is consistent with these determinations and with previous lattice-QCD results based on Taylor expansions \cite{Bollweg:2022Pade}. Further, we demonstrate that scaling relations \cite{Bollweg:2022fqq} between χ_4^B and the thermal derivatives of χ_2^B yield mutually consistent estimates of the leading second order curvature coefficient κ_2^B at the corresponding pseudocritical temperatures. A direct analysis of the μ_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 unbiased exponential resummation with the expected scaling behavior and establish it as a complementary approach for probing the QCD crossover at small finite baryon density.
ER -