All-orders singular emission in gauge theories

Area of Science:

• High Energy Physics
• Quantum Field Theory
• Perturbative Quantum Chromodynamics

Background:

• Calculating scattering amplitudes in gauge theories involves understanding the behavior of soft and collinear emissions.
• Previous methods like antenna functions and Catani-Seymour dipole factorization address specific aspects of these emissions.
• A unified approach is needed to handle complex, multi-loop calculations efficiently.

Purpose of the Study:

• To introduce a new class of functions that unify all singular limits for soft or collinear gluon emission.
• To generalize existing antenna functions and Catani-Seymour dipole factorization to all orders in perturbation theory.
• To provide a more comprehensive tool for calculating gauge-theory amplitudes.

Main Methods:

• Development of a new class of unifying functions.
• Generalization of antenna functions to higher orders.
• Extension of Catani-Seymour dipole factorization principles.

Main Results:

• A unified framework for soft and collinear gluon emission in gauge theories is presented.
• The proposed functions generalize existing methods, providing a more complete description.
• Helicity-summed interferences of these functions are shown to be higher-order generalizations of the Catani-Seymour dipole factorization.

Conclusions:

• The introduced functions offer a significant advancement in calculating gauge-theory amplitudes.
• This unification simplifies the treatment of singular limits in perturbative calculations.
• The work provides a powerful new tool for theoretical particle physics research.