Trace anomaly and non-scalar gluon EMT contributions in near-threshold quarkonium scattering on the light front

Abstract

We formulate the scalar trace-anomaly and non-scalar gluon energy-momentum-tensor contributions to compact-heavy-quarkonium scattering in light-front variables. The good-component sum rule gives the gluon momentum fraction Ag(0), while the threshold chromoelectric projection of the traceless gluon EMT produces the factor (3/4)Ag(0)M. The resulting forward ratio agrees with the covariant EMT/OPE estimate without any spurious boost enhancement. Off forward, the same operator matching identifies the non-scalar gluon-EMT form-factor combination selected by the chromoelectric interaction. The light-front density interpretation used here follows the established Drell-Yan-frame EMT/GFF framework; the new element is its application to the scalar/non-scalar chromoelectric separation in near-threshold quarkonium scattering.

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