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We propose the $pp \rightarrow \text{jet} + \gamma $ as a new process forstudying the Transverse Momentum Dependent Parton Distribution Functions(TMDs). To do so, we developed a novel framework for the jet-$\gamma$ imbalancein $pp \rightarrow \text{jet} + \gamma $ using Soft Collinear Effective Theory.The new framework opens up many new insights to the TMDs which the current TMDstudies confined to the Drell-Yan and semi-inclusive deep inelastic scatteringprocesses cannot achieve. The established formalism provides, for the firsttime, a first principle prediction of the jet-$\gamma$ imbalance in $pp$collisions and therefore a first direct probe of the factorization breakingeffects when compared with the future experimental data. If the factorizationbreaking effects are found small, the process will offer the uniquesensitivities to both the polarized and un-polarized quark/gluon TMDs. Wedemonstrate the predictive power of the framework by calculating each componentin the formalism to the next-to-leading order accuracy and by realizing thenext-to-leading-logarithmic evolution. We provide the first numerical estimatesfor this process, for both the unpolarized cross section and the Siversasymmetry.

A transverse momentum dependent framework for back-to-back photon+jet production