Abstract

In this talk, we review recent theoretical developments on QCD resummation in high energy scattering processes in pp and pA collisions. In particular, we will show that the transverse momentum resummation (Sudakov) can be performed consistently in the small-x factorization formalism (BFKL) at the leading double logarithmic approximation. We further discuss the physics beyond the above approximation, and show that the TMD resummation at next-to-leading logarithmic order can describe the dijet production experimental data from D0 collaboration. Finally, we comment on the TMD resummation effects in the so-called Mueller-Navelet jet production in hadronic collisions.

Highlights

  • An important application of the perturbative quantum chromodynamics (QCD) is the resummation

  • In the correlation limit of dijet production, P⊥ dependence is decoupled from q⊥ dependence, and the differential cross section can be directly calculated from the unintegrated gluon distributions of the nucleus, which obey the small-x evolution equations

  • We have shown that the transverse momentum dependent (TMD) resummation is simplified in the leading double logarithmic approximation

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Summary

Introduction

An important application of the perturbative quantum chromodynamics (QCD) is the resummation. The small-x resummation is governed by the wellknown BFKL evolution [3], which will be extended to the so-called BK-JIMWLK This is an Open Access article published by World Scientific Publishing Company. [7, 8], it has been shown that we can perform the above two resummations (Sudakov and BFKL) consistently in physical processes in high energy scattering. In this talk, we will present a brief overview of these results. We discuss the case of dijet production with rapidities well separated in pp collisions, and comment on the role of the TMD resummation for the so-called Mueller-Navelet dijet production

Sudakov Leading Double Logarithms Resummation in Small-x Formalism
Beyond Leading Logarithmic Approximation
TMD Resummation in Mueller-Navelet Dijet Production
Conclusion
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