Higgs Transverse-Momentum Resummation in Direct Space

Area of Science:

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

Background:

• Accurate theoretical predictions are crucial for interpreting experimental results in high-energy particle collisions.
• The transverse-momentum distribution of high-mass color-singlet systems is a key observable in hadronic collisions.
• Existing methods face challenges with kinematic singularities at small transverse momentum.

Purpose of the Study:

• To develop a new, robust approach for the resummation of transverse-momentum distributions.
• To achieve higher accuracy in theoretical predictions for particle production at the LHC.
• To provide a method applicable to a broader range of observables with infrared cancellations.

Main Methods:

• Developed a momentum-space resummation technique for high-mass color-singlet systems.
• Ensured the resummation is free of kinematic singularities at small transverse momentum.
• Derived a formula at the next-to-next-to-leading-logarithmic (N3LL) level.

Main Results:

• Presented the first matched predictions to next-to-next-to-leading order (NNLO) for Higgs-boson production via gluon fusion at the LHC.
• The new method successfully handles kinematic cancellations in the infrared region.
• The derived formula achieves N3LL accuracy.

Conclusions:

• The proposed momentum-space resummation approach offers improved accuracy and robustness.
• This method provides a significant advancement for theoretical predictions in QCD.
• The technique is adaptable to other observables with similar infrared properties.