Infrared Renormalons in Kinematic Distributions for Hadron Collider Processes

Infrared renormalons in Quantum Chromodynamics are associated with non-perturbative corrections to short distance observables. Linear renormalons, i.e. such that the associated non-perturbative corrections scale like one inverse power of the hard scale, can affect at a non-negligible level even the very high-energy phenomena studied at the Large Hadron Collider. Using an Abelian model, we study the presence of linear renormalons in the transverse momentum distribution of a neutral vector boson $Z$ produced in hadronic collisions. We consider a process where the $Z$ transverse momentum is balanced by a sizable recoil against a coloured final state particle. One may worry that such a colour configuration, not being azimuthally symmetric, could generate unbalanced soft radiation, associated in turn with linear infrared renormalons affecting the transverse momentum distribution of the vector boson. We performed a numerical calculation of the renormalon effects for this process in the so-called large $b_0$ limit. We found no evidence of linear renormalons in the transverse momentum distribution of the $Z$ in the large transverse-momentum region, irrespective of rapidity cuts.