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  4. The STAR experiment reports new, high-precision measurements of the transverse single-spin asymmetries for π ± within jets, namely the Collins asymmetries, from transversely polarized p p collisions at s = 510 GeV . The energy-scaled distribution of jet transverse momentum, x T = 2 p T , jet / s , shows a remarkable consistency for Collins asymmetries of π ± in jets between s = 200 GeV and 510 GeV. This indicates that the Collins asymmetries are nearly energy independent, with, at most, a very weak scale dependence in p p collisions. These results extend to high-momentum scales ( Q 2 3400 GeV 2 ) and enable unique tests of evolution and universality in the transverse-momentum-dependent formalism, thus providing important constraints for the Collins fragmentation functions. 
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    Free, publicly-accessible full text available December 1, 2026