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We provide the first rigorous numerical analysis of thelongitudinal-transverse double-spin asymmetry $A_{LT}$ in electron-nucleon andproton-proton collisions for the case where only a single pion, jet, or photonis detected in the final state. Given recent extractions of certain, previouslyunknown, non-perturbative functions, we are able to compute contributions fromall terms relevant for $A_{LT}$ and make realistic predictions for theobservable at Jefferson Lab (JLab) 12 GeV, COMPASS, the future Electron-IonCollider, and the Relativistic Heavy Ion Collider. We also compare our resultsto a JLab 6 GeV measurement, which are the only data available for this type ofreaction. The twist-3 nature of $A_{LT}$ makes it a potentially fruitful avenueto probe quark-gluon-quark correlations in hadrons as well as provide insightsinto dynamical quark mass generation in QCD.

Numerical study of the twist-3 asymmetry $A_{LT}$ in single-inclusive electron-nucleon and proton-proton collisions