NNLO QCD corrections to jet production in deep inelastic scattering

Abstract

Hadronic jets in deeply inelastic electron-proton collisions are produced by the scattering of a parton from the proton with the virtual gauge boson mediating the interaction. The HERA experiments have performed precision measurements of inclusive single jet production and di-jet production in the Breit frame, which provide important constraints on the strong coupling constant and on parton distributions in the proton. We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to these processes, and assess their size and impact. A detailed comparison with data from the H1 and ZEUS experiments highlights that inclusive single jet production displays a better perturbative convergence than di-jet production. We also observe that the event selection cuts in some of the di-jet measurements of both H1 and ZEUS induce an infrared sensitivity that destabilises the perturbative stability of the predictions. Our results open up new opportunities for QCD precision studies with jet production observables in deep inelastic scattering.

Determination of the strong coupling constant $${\varvec{{\alpha _\mathrm{s} (m_\mathrm{Z})}}}$$ in next-to-next-to-leading order QCD using H1 jet cross section measurements

“…The theoretical uncertainties of the NNLO predictions are substantially reduced compared to those of the NLO predictions. It is observed [11,12,15] that the NNLO predictions and the current experimental data are of comparable precision for large parts of the measured phase space.…”

“…Continuous developments enabled the advancement of these calculations [7][8][9][10], and next-to-next-toleading order (NNLO) predictions for jet production in DIS [11,12] and hadron-hadron collisions [13,14] have become available recently. The theoretical uncertainties of the NNLO predictions are substantially reduced compared to those of the NLO predictions.…”

“…This article presents the first determination of α s (m Z ) making use of the recent calculations of jet production at NNLO [11][12][13][14]. These calculations are also used in this paper for the first time for the determination of PDFs.…”

“…These calculations are also used in this paper for the first time for the determination of PDFs. The jet cross section calculations are performed using the program NNLOJET [11,12,60].…”

NNLO dijet production in DIS with the antenna subtraction method

“…In this talk we will present the first calculation of the production of two-jet final states in deep inelastic scattering (DIS) to next-to-next-to-leading order accuracy [1]. A large number of dijet events were recorded by the two HERA experiments, H1 [2,3,4] and ZEUS [5,6], at DESY.…”