The Transverse Energy-Energy Correlator at Next-to-Next-to-Next-to-Leading Logarithm
Abstract
We present an operator based factorization formula for the transverse energy-energy correlator in the back-to-back (dijet) region, and uncover its remarkable perturbative simplicity and relation to transverse momentum dynamics. This simplicity enables us to achieve next-to-next-to-next-to leading logarithmic (N3LL) accuracy for a hadron collider dijet event shape for the first time. Our factorization formula applies to color singlet, W/Z/γ + jet, and dijet production, providing a natural generalization of transverse momentum observables to one- and two-jet final states. This provides a laboratory for precision studies of QCD and transverse momentum dynamics at hadron colliders, as well as an opportunity for understanding factorization and its violation in a perturbatively well controlled setting.
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