Abstract
We investigate the impact of soft gluon resummation on the azimuthal angle correlation between the total and relative momenta of two energetic final state particles (jets). We show that the initial and final state radiations induce sizable $\cos(\phi)$ and $\cos (2\phi)$ asymmetries in single jet and dijet events, respectively. We numerically evaluate the magnitude of these asymmetries for a number of processes in collider experiments, including diffractive dijet and dilepton production in ultraperipheral $pA$ and $AA$ collisions, inclusive and diffractive dijet production at the EIC and inclusive dijet production in $pp$ collisions at the LHC. In particular, the $\cos (2\phi)$ asymmetry of perturbative origin can dominate over the primordial asymmetry due to the linearly polarized gluon distribution.
Highlights
Jet processes are the most abundant events in hard hadronic collisions and have been under intensive investigations at various colliders
We numerically evaluate the magnitude of these asymmetries for a number of processes in collider experiments, including diffractive dijet and dilepton production in ultraperipheral pA and AA collisions, inclusive and diffractive dijet production at the electron-ion collider, and inclusive dijet production in pp collisions at the LHC
We do not know the actual magnitude of the nonperturbative part. [Eq (86) is just a model.] our results suggest that this can be constrained by scanning Q2 in the relatively low momentum region at the electron-ion collider (EIC)
Summary
Jet processes are the most abundant events in hard hadronic collisions and have been under intensive investigations at various colliders (see, e.g., Refs. [1,2,3,4,5,6,7,8]). It has been predicted that the ‘elliptic’ gluon Wigner distribution generates a cosð2φÞ asymmetry [12,13,14,15,16,17] Another example is the inclusive dijet production in DIS, where q⊥ comes from the intrinsic transverse momentum of gluons in the target. In this case, the so-called linearly polarized gluon distribution can generate a cosð2φÞ asymmetry in the dijet system [18,19,20,21,22,23,24]. Since q⃗ ⊥ is the recoil momentum against these gluons, it points towards jet directions on average This naturally generates a positive cosð2φÞ asymmetry of purely perturbative origin in dijet events [38]. We will show that the photon radiation can contribute to a significant cosð2φÞ asymmetries in the kinematic region where the perturbative contribution dominates
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