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The renewed interest in analyzing RHIC data on di-hadron correlations as probes of final state transverse momentum broadening as shown at Quark Matter 2018 [1] by theoretical calculations [2] compared to experimental measurements [3, 4] led me to review the quoted theoretical calculations and experimental measurements because the theoretical calculation [2] does not show the correct errors of the PHENIX measurements [3, 5] as published. The above references were checked and fits were performed to the published measurements with the correct errors [3, 5] to determine q̂L from the measured azimuthal broadening to compare with the theoretical calculation [2]. The new fits with the correct errors give values of 〈q̂L〉 on the order of −1±1 GeV2, clearly inconsistent with the value of q̂L = 13 GeV2 claimed in the theoretical calculations [2]. One STAR measurement [4], that I had previously analyzed [6], quoted in Ref. [2] gave a value of 〈q̂L〉= 0.86±0.87 GeV2 also inconsistent with the theoretical claim [2]. As a check I calculated the values of q̂L from a more recent PHENIX measurement with superior errors [7]. The values of q̂L from these measurements also had the interesting effect of being consistent with zero for larger values of associated pTa ≥ 3 GeV/c. This effect is well known from all previous measurements of the ratio of the pTa distributions in Au+Au to p+p for a given trigger pTt called IAA [4, 7, 8] which remain constant for pTa ≥ 3 GeV/c. One possible explanation is that for pTa ≥ 3 GeV/c, which is at a fraction ≈ 1% of the xE ≈ pTa/pTt distribution, these hard fragments are distributed narrowly around the jet axis so that they are not strongly affected by the medium [9]. Hence, di-jets rather than di-hadrons at RHIC are proposed as an improved azimuthal broadening measurement to determine q̂L and possibly q̂.

Measurements and Calculations of $\hat{q}L$ via transverse momentum broadening in RHI collisions using di-hadron correlations