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.

Highlights

  • Precision QCD studies has long been known

  • The same framework is used in the calculation of next-to-next-to-leading order (NNLO) corrections to jet production in DIS, and first results on di-jet final states were reported in a short letter [74]

  • Our results for the NNLO corrections to single jet inclusive production and di-jet production in DIS are discussed in detail in sections 4 and 5 where we compare to the available data from the HERA experiments

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Summary

Kinematics of jet production in deep inelastic scattering

The basic interaction in deep inelastic lepton-proton scattering is mediated by a virtual gauge boson. The kinematics of the fully inclusive process can be inferred from the momenta of the incoming particles and of the outgoing lepton: l(k) + p(P ) → l (k ) + X(pX ), Such that a four-momentum q = k − k is transferred to the proton. More detailed information on the underlying parton-level dynamics can be gained by examining the hadronic final state X This is often analysed in the Breit frame of reference, figure 1, which is defined by requiring proton and gauge boson momenta to take the form. The Lorentz transformation from the laboratory frame to the Breit frame can be determined from the measured lepton kinematics In this frame, the leading order DIS process results in an outgoing quark with vanishing transverse momentum, such that higher order contributions to DIS can be resolved by looking at final state objects with non-vanishing transverse momentum pT,B in the Breit frame. For di-jet production at leading order, ξ2 can be identified with the momentum fraction of the incoming parton relative to the proton momentum

Calculation of NNLO corrections
Structure of the NNLO cross section
Application of the antenna subtraction method
Phase-space mappings
Initial-state identity changing collinear limits
Implementation into NNLOjet and validation
Scale dependence of the NNLO cross section
Inclusive jet production
Structure of the inclusive jet production cross section at NNLO
Comparison to HERA data
Di-jet production
Scale setting in the di-jet production cross section at NNLO
Conclusions and outlook
Quark-initiated subtraction terms
Gluon-initiated subtraction terms
Findings
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