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BFKL versus O(α_s^3) Corrections to Large-rapidity Dijet Production

Vittorio Del Duca, Carl R. Schmidt

TL;DR

The paper investigates large-rapidity dijet production at hadron colliders, where large logs of rapidity necessitate resummation. It compares exact $O(alpha_s^3)$ calculations with a BFKL resummation and introduces an effective rapidity hat_y to correct kinematic biases in the large-y limit. Using hat_y within the BFKL framework, it finds milder yet persistent effects on the $p_perp$ spectra and jet correlations than previously predicted, with significant dependence on PDFs and scale choices. The work clarifies the range of validity of BFKL in realistic collider kinematics and offers a practical method to incorporate kinematic effects into resummed predictions.

Abstract

We examine dijet production at large rapidity intervals at Tevatron energies by comparing an exact ${\cal O}(α_s^3)$ calculation with the BFKL approximation, which resums the leading powers of the rapidity interval $y$ to all orders in $α_s$. We analyze the dependence of the exact ${\cal O}(α_s^3)$ calculation on the jet cone-size as a function of $y$, and use this cross section to define an ``effective rapidity'' $\hat y$ which reduces the error that the large-$y$ approximation induces on the kinematics. Using $\hat y$ in the BFKL resummation, we reexamine jet production at large transverse momenta and the transverse momentum decorrelation of the tagging jets. We find less dramatic, but still significant, effects than found previously using the large-$y$ approximation.

BFKL versus O(α_s^3) Corrections to Large-rapidity Dijet Production

TL;DR

The paper investigates large-rapidity dijet production at hadron colliders, where large logs of rapidity necessitate resummation. It compares exact calculations with a BFKL resummation and introduces an effective rapidity hat_y to correct kinematic biases in the large-y limit. Using hat_y within the BFKL framework, it finds milder yet persistent effects on the spectra and jet correlations than previously predicted, with significant dependence on PDFs and scale choices. The work clarifies the range of validity of BFKL in realistic collider kinematics and offers a practical method to incorporate kinematic effects into resummed predictions.

Abstract

We examine dijet production at large rapidity intervals at Tevatron energies by comparing an exact calculation with the BFKL approximation, which resums the leading powers of the rapidity interval to all orders in . We analyze the dependence of the exact calculation on the jet cone-size as a function of , and use this cross section to define an ``effective rapidity'' which reduces the error that the large- approximation induces on the kinematics. Using in the BFKL resummation, we reexamine jet production at large transverse momenta and the transverse momentum decorrelation of the tagging jets. We find less dramatic, but still significant, effects than found previously using the large- approximation.

Paper Structure

This paper contains 6 sections, 18 equations, 3 figures.

Table of Contents

  1. Introduction
  2. The minijet resummation and ${\cal O}(\alpha_s^3)$ cross section at large rapidities
  3. Collinear singularities in dijet production
  4. The BFKL and the ${\cal O}(\alpha_s^3)$ corrections to the $p_{\perp}$ distributions
  5. An effective rapidity interval
  6. Conclusions

Figures (3)

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