Factorization of the dijet cross section in electron-positron annihilation with jet algorithms

TL;DR

This paper investigates how different jet algorithms affect the factorization of dijet cross sections in electron-positron annihilation, computing relevant functions to next-to-leading order and demonstrating their infrared finiteness.

Contribution

It provides a detailed analysis of jet algorithm effects on factorized cross sections using soft-collinear effective theory, including explicit NLO calculations for specific algorithms.

Findings

Jet and soft functions are computed to NLO for cone-type and Sterman-Weinberg algorithms.

The functions are shown to be infrared finite with dimensional regularization.

Comparison of integrated and unintegrated jet functions with other types.

Abstract

We analyze the effects of jet algorithms on each factorized part of the dijet cross sections in $e^+ e^-$ scattering using the soft-collinear effective theory. The jet function and the soft function with a cone-type jet algorithm and the Sterman-Weinberg jet algorithm are computed to next-to-leading order in $\alpha_s$, and are shown to be infrared finite using the dimensional regularization. The integrated and unintegrated jet functions are presented, and compared with other types of jet functions.