One-Jettiness Distribution Contains Super-Super-Leading Logarithms

Area of Science:

• High Energy Physics
• Quantum Chromodynamics
• Particle Physics

Background:

• Color-singlet plus jet production is a key process in high energy physics.
• Understanding theoretical calculations requires managing complex logarithmic terms.

Purpose of the Study:

• To investigate the behavior of one-jettiness (τ_{1}) in color-singlet plus jet production.
• To identify and characterize the dominance of superleading logarithms in this process.

Main Methods:

• Analysis of perturbative quantum chromodynamics at higher orders.
• Examination of the structure of logarithmic terms in scattering processes.

Main Results:

• Identified superleading logarithms in one-jettiness at order α_{s}^{4}ln(1/τ_{1})^{6}.
• This represents a more dominant logarithmic contribution than previously observed.
• The extra logarithm is consistent with parton distribution function factorization.

Conclusions:

• The findings provide a deeper understanding of theoretical calculations in particle physics.
• This work contributes to the precise prediction of scattering processes at high energies.
• The results support the factorization properties of parton distribution functions.