q_{T} Slicing with Multiple Jets.

Area of Science:

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

Background:

• Precision theoretical predictions are crucial for modern collider phenomenology.
• Slicing techniques are essential for achieving next-to-next-to-leading order (NNLO) accuracy.
• Generalizing the transverse momentum (q_{T}) slicing variable for jet processes is challenging.

Purpose of the Study:

• To propose and validate new generalizations of the q_{T} slicing variable for jet processes.
• To enable high-precision QCD calculations for multijet final states.
• To facilitate NNLO predictions in collider phenomenology.

Main Methods:

• Development of two generalized q_{T} variables for jet processes.
• Proof-of-concept NLO slicing for pp→2 jets.
• Calculation of the NNLO collinear-soft function.
• Demonstration of NNLO slicing for e^{+}e^{-}→2 jets.

Main Results:

• Successful generalization of q_{T} slicing for jet processes.
• Factorization formulas enabling NNLO approach presented.
• NNLO collinear-soft function calculated.
• Slicing demonstrated at NNLO for e^{+}e^{-}→2 jets.
• A simplified soft function for planar Born processes identified.

Conclusions:

• The proposed q_{T} generalizations provide a viable path for NNLO QCD calculations with multijet final states.
• The methods can be extended to predict hadron fragmentation.
• This work advances high-precision calculations in particle physics.