Demonstrate finite-size scaling of transverse-momentum correlations

Demonstrate the finite-size scaling behavior of the two-particle transverse-momentum correlation observable C_{p_T} required to establish it as a reliable proxy for QCD critical behavior.

Background

Finite-size scaling is presented as the quantitative test that distinguishes a localized non-monotonic feature from evidence of critical behavior. The paper notes that finite-size scaling has been demonstrated for higher-order cumulant ratios and for a compressibility-related two-pion interferometry observable.

The authors state that no analogous scaling result has been obtained for C_{p_T}. Establishing such scaling would be necessary before the observable could provide quantitative information about the critical response.

References

No analogous scaling behavior has yet been demonstrated for $C_{p_T}$.

Comment on "Non-Monotonicity of Transverse-Momentum Correlations in Au+Au Collisions at RHIC"  (2609.17279 - Lacey, 15 Sep 2026) in Section comparing C_{p_T} with susceptibility-based observables and controlled scaling analyses