Dijet rates with symmetric E_t cuts

TL;DR

The paper addresses the unreliability of NLO predictions for dijet rates with symmetric $E_t$ cuts due to soft-gluon emissions. It develops an all-order soft-gluon resummation in Fourier ($b$) space, incorporating a momentum-conservation convolution to produce a finite, physically sensible slope $\sigma'(\Delta)$ at small $\Delta$ and discusses matching to fixed-order results. Using dijet production in DIS as a representative case, it demonstrates how the resummed results can be extended to other processes like photoproduction and γγ collisions. The work sets up a LO baseline, clarifies jet-definition dependencies, and lays the groundwork for future NLO matching and phenomenological studies.

Abstract

We consider dijet production in the region where symmetric cuts on the transverse energy, $E_t$, are applied to the jets. In this region next-to--leading order calculations are unreliable and an all-order resummation of soft gluon effects is needed, which we carry out. Although, for illustrative purposes, we choose dijets produced in deep inelastic scattering, our general ideas apply additionally to dijets produced in photoproduction or $γγ$ processes and should be relevant also to the study of prompt di-photon $E_t$ spectra in association with a recoiling jet, in hadron-hadron processes