Constraining quintessence models with integrated Sachs-Wolfe thermal Sunyaev-Zel’dovich cross-correlations: A comparative analysis of thawing, tracker, and scaling-freezing dynamics

We present constraints on quintessence dark energy models using the observational detection of the integrated Sachs-Wolfe (ISW)–thermal Sunyaev-Zeldovich (tSZ) cross-correlation dataset. Our analysis compares three classes of quintessence dynamics: thawing, tracker, and scaling-freezing with the standard Λ cold dark matter ( Λ CDM ) cosmology. Through a comprehensive likelihood analysis, we derive best-fit values and 68% confidence intervals for key cosmological parameters, finding Ω m = 0.32 2 − 0.030 + 0.027 and σ 8 = 0.73 5 − 0.035 + 0.045 for Λ CDM , with deviations in alternative models consistent within 1 σ . For the thawing model, we consider an exponential potential with slope λ = 0.73 6 − 0.227 + 0.270 , while for the tracker and scaling-freezing models, we use inverse axionlike and double exponential potentials, respectively. Observationally, the tracker model yields n = 5.65 1 − 1.604 + 1.625 and f = 0.25 8 − 0.096 + 0.149 , and the scaling-freezing model gives λ 1 = 0.40 5 − 0.322 + 0.293 and λ 2 = 23.22 6 − 7.258 + 7.975 . The dimensionless tSZ amplitude ( W ˜ SZ ) and cosmic infrared background (CIB) parameters are tightly constrained across all models, providing additional insights into astrophysical foregrounds. Our results demonstrate the effectiveness of ISW-tSZ cross-correlations as a probe of dark energy dynamics, with the thawing quintessence model yielding the lowest χ min 2 among the tested scenarios, and highlight the need for future high-precision measurements to distinguish between quintessence models and Λ CDM .