# Chiral phase transition temperature in (2+1)-Flavor QCD

## TL;DR

This study uses lattice QCD simulations to accurately determine the chiral phase transition temperature in (2+1)-flavor QCD, employing novel estimators and comprehensive extrapolations to reach a precise result.

## Contribution

It introduces two new estimators for the chiral transition temperature and performs detailed continuum, thermodynamic, and chiral extrapolations for improved accuracy.

## Key findings

- Chiral transition temperature estimated at 132^{+3}_{-6} MeV.
- Novel estimators effectively determine transition temperature across various pion masses.
- Finite volume and lattice spacing effects are systematically controlled.

## Abstract

We present a lattice QCD based determination of the chiral phase transition temperature in QCD with two degenerate, massless quarks and a physical strange quark mass. We propose and calculate two novel estimators for the chiral transition temperature for several values of the light quark masses, corresponding to Goldstone pion masses in the range of $58~{\rm MeV}\lesssim m_\pi\lesssim 163~{\rm MeV}$. The chiral phase transition temperature is determined by extrapolating to vanishing pion mass using universal scaling analysis. Finite volume effects are controlled by extrapolating to the thermodynamic limit using spatial lattice extents in the range of $2.8$-$4.5$ times the inverse of the pion mass. Continuum extrapolations are carried out by using three different values of the lattice cut-off, corresponding to lattices with temporal extent $N_\tau=6,\ 8$ and $12$. After thermodynamic, continuum and chiral extrapolations we find the chiral phase transition temperature $T_c^0=132^{+3}_{-6}$ MeV.