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Effects of Higher-Order Threshold Corrections in High-E_T Jet Production

Nikolaos Kidonakis, J. F. Owens

TL;DR

The paper investigates higher-order threshold corrections in high-$E_T$ jet production in hadron-hadron collisions. It derives NNLO threshold corrections at next-to-next-to-leading logarithmic accuracy by expanding the all-orders threshold-resummed cross section for single-jet inclusive production. The authors implement these corrections for Tevatron energies and compare to CDF and DØ data, finding that with a scale choice of μ_F = μ_R = $E_T/2$ the NNLO-NLL corrections are small and substantially reduce scale dependence. However, the threshold corrections alone do not fully reconcile the remaining discrepancies between data and QCD predictions, suggesting additional effects (such as high-$x$ parton distributions) may be required.

Abstract

Results for higher-order threshold enhancements in high-E_T jet production in hadron-hadron collisions are presented. Expressions are given for the next-to-next-to-leading order (NNLO) threshold corrections to the single-jet inclusive cross section at next-to-leading logarithmic (NLL) accuracy. The corrections are found to be small for the specific choice of E_T/2 for the factorization and renormalization scales, and the corrected cross section shows a substantial reduction of the scale dependence. A comparison to experimental results from the Tevatron is presented.

Effects of Higher-Order Threshold Corrections in High-E_T Jet Production

TL;DR

The paper investigates higher-order threshold corrections in high- jet production in hadron-hadron collisions. It derives NNLO threshold corrections at next-to-next-to-leading logarithmic accuracy by expanding the all-orders threshold-resummed cross section for single-jet inclusive production. The authors implement these corrections for Tevatron energies and compare to CDF and DØ data, finding that with a scale choice of μ_F = μ_R = the NNLO-NLL corrections are small and substantially reduce scale dependence. However, the threshold corrections alone do not fully reconcile the remaining discrepancies between data and QCD predictions, suggesting additional effects (such as high- parton distributions) may be required.

Abstract

Results for higher-order threshold enhancements in high-E_T jet production in hadron-hadron collisions are presented. Expressions are given for the next-to-next-to-leading order (NNLO) threshold corrections to the single-jet inclusive cross section at next-to-leading logarithmic (NLL) accuracy. The corrections are found to be small for the specific choice of E_T/2 for the factorization and renormalization scales, and the corrected cross section shows a substantial reduction of the scale dependence. A comparison to experimental results from the Tevatron is presented.

Paper Structure

This paper contains 16 sections, 79 equations, 5 figures.

Table of Contents

  1. Introduction
  2. The single-jet inclusive resummed cross section
  3. Jet production at the Tevatron
  4. Conclusion
  5. NNLO-NLL corrections for quark-antiquark annihilation processes
  6. NNLO corrections for $q_j {\bar{q}}_j \rightarrow q_j {\bar{q}}_j$
  7. NNLO corrections for $q_j {\bar{q}}_j \rightarrow q_k {\bar{q}}_k$
  8. NNLO corrections for $q_j {\bar{q}}_k \rightarrow q_j {\bar{q}}_k$
  9. NNLO-NLL corrections for quark-quark scattering processes
  10. NNLO corrections for $q_j q_j \rightarrow q_j q_j$
  11. NNLO corrections for $q_j q_k \rightarrow q_j q_k$
  12. NNLO-NLL corrections for $q {\bar{q}} \rightarrow gg$ and $gg \rightarrow q {\bar{q}}$
  13. NNLO corrections for $q {\bar{q}} \rightarrow gg$
  14. NNLO corrections for $gg \rightarrow q {\bar{q}}$
  15. NNLO-NLL corrections for $q g \rightarrow q g$
  16. ...and 1 more sections

Figures (5)

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