Soft Gluon Resummations in Dijet Azimuthal Angular Correlations at the Collider

TL;DR

All order soft gluon resummation in dijet azimuthal angular correlation in hadronic collisions at the next-to-leading logarithmic level provides a benchmark calculation for the transverse momentum dependent QCD resummations for jet productions in hadron collisions.

Abstract

We derive all order soft gluon resummation in dijet azimuthal angular correlation in hadronic collisions at the next-to-leading logarithmic level. The relevant coefficients for the Sudakov resummation factor, the soft and hard factors, are calculated. The theory predictions agree well with the experimental data from D0 Collaboration at the Tevatron. This provides a benchmark calculation for the transverse momentum dependent QCD resummation for jet productions in hadron collisions and can be readily applied at the CERN LHC.

Figures (2)

• Figure 1: Comparison between the $\alpha_s$ expansion of the resummation calculation (dashed curve) and the full leading order (LO) calculation (solid curve) in the region around $\phi = \pi$ for $100 < P_T^{\rm max} < 130\,{\rm GeV}$, with the same kinematics specified by the D0 Collaboration Abazov:2004hm.
• Figure 2: Resummation results on dijet azimuthal correlations at the Tevatron, compared to the experimental data from D0 Collaboration Abazov:2004hm. Around $\phi=2.4$, the resummation result (solid curve) is matched to a full NLO calculation (dashed curve) Nagy:2001fj.