Kinematical Correlations for Higgs Boson Plus High P_{T} Jet Production at Hadron Colliders

Area of Science:

• High-energy particle physics
• Quantum Chromodynamics (QCD)
• Standard Model physics

Background:

• Higgs boson production in association with a high transverse momentum (P(T)) jet is a key process at hadron colliders.
• Understanding kinematical correlations is crucial for precise theoretical predictions and experimental analyses.
• QCD resummation is a vital tool for improving theoretical accuracy in high-energy scattering processes.

Purpose of the Study:

• To investigate the impact of QCD resummation on kinematical correlations in Higgs plus high P(T) jet events.
• To apply the Collins-Soper-Sterman resummation formalism to derive the Sudakov form factor at one-loop order.
• To demonstrate the phenomenological importance of resummation effects at the Large Hadron Collider (LHC).

Main Methods:

• Application of the Collins-Soper-Sterman (CSS) resummation formalism.
• Derivation of the Sudakov form factor at complete one-loop order.
• Comparison of resummation calculations with fixed-order predictions for back-to-back configurations.

Main Results:

• The CSS resummation formalism is successfully applied to derive the Sudakov form factor for Higgs plus high P(T) jet events.
• Perfect agreement is found between resummation calculations and fixed-order predictions in the nearly back-to-back limit.
• The phenomenological relevance of QCD resummation effects at the LHC is quantified.

Conclusions:

• QCD resummation provides accurate predictions for kinematical correlations in Higgs plus high P(T) jet production.
• The study validates the application of the CSS formalism for these complex processes.
• Resummation effects are significant and must be considered for LHC physics analyses.