Soft gluon resummations in dijet azimuthal angular correlations in hadronic collisions

Area of Science:

• High Energy Physics
• Quantum Chromodynamics (QCD)
• Particle Collisions

Background:

• Dijet azimuthal angular correlations are crucial for understanding particle interactions in high-energy physics.
• Previous calculations lacked precision at higher orders, limiting comparisons with experimental data.

Purpose of the Study:

• To derive all-order soft gluon resummation for dijet azimuthal angular correlations.
• To achieve next-to-leading logarithmic accuracy in theoretical predictions.
• To provide a benchmark for transverse momentum dependent QCD resummation.

Main Methods:

• Calculation of relevant coefficients for Sudakov resummation factor.
• Determination of soft and hard factors within QCD framework.
• Comparison of theoretical predictions with experimental data from the D0 Collaboration.

Main Results:

• Successful derivation of all-order soft gluon resummation at the next-to-leading logarithmic level.
• Accurate calculation of Sudakov, soft, and hard factors.
• Excellent agreement between theoretical predictions and D0 Collaboration experimental data.

Conclusions:

• The study provides a validated theoretical framework for dijet azimuthal angular correlations.
• This work establishes a benchmark for transverse momentum dependent QCD resummation in hadron collisions.
• The findings enhance the understanding of jet production dynamics in high-energy particle interactions.