Transverse momentum resummation for dijet correlation in hadronic collisions

Abstract

We study the transverse momentum resummation for the azimuthal angular correlation in dijet production in hadron collisions based on the Collins-Soper-Sterman formalism. The complete oneloop calculations are carried out in the collinear framework for the differential cross sections at low imbalance transverse momentum between the two jets. Important cross checks are performed to demonstrate that the soft divergences are cancelled out between different diagrams, and in particular, for those associated with the final state jets. The leading and sub-leading logarithms are identified. All order resummation is derived following the transverse momentum dependent factorization at this order. Its phenomenological applications are also presented.

Sudakov resummations in Mueller-Navelet dijet production

“…We believe this results can help to quantitatively study the BFKL dynamics through Mueller-Navelet jets production at the LHC. Last but not least, we would like to comment on the recent studies of the transverse momentum resummation for generic dijet production in hardon-hadron collisions [32][33][34]. It has been shown that the Sudakov resummation is playing an important role in describing JHEP03(2016)096 the dijet correlation data at both the Tevatron and the LHC.…”

“…In the dijet production process, final state radiation will also contribute to the single logarithms which will depend on the jet cone size. In general kinematics of dijet production, the TMD resummation is much more complicated than the above equation, where a matrix form has to be included to take into account final state radiation contributions [32][33][34]. However, in the current case, because of the two jets are produced with large rapidity separation, the resummation formula will be much simplified.…”

“…In the following, we will extend the calculations in refs. [32][33][34] to the current case. In addition, when the two jets are produced with large rapidity separation, we are in a special kinematic region, where the physics is dominated by t-channel diagrams.…”

“…[32][33][34], the Sudakov resummation was derived for dijet production, which is valid for the two jets produced at the same rapidity region. However, the derivations can also help us to identify the large logarithms for the Mueller-Navelet dijet production.…”

“…In ref. [34], the differential cross section for dijet production at the back-to-back correlation limit is calculated at one-loop order, taking into account the most important collinear and soft gluon radiation contributions. In the collinear calculation set-up, q ⊥ = k 1⊥ + k 2⊥ is the relevant variable in the final resummation, and one-gluon radiation contributes to non-zero q ⊥ .…”