The Exclusive kT Dijet Rate in SCET with a Rapidity Regulator

TL;DR

This paper uses effective field theory to analyze the exclusive kT dijet rate, achieving next-to-leading order accuracy and simplifying the dependence on renormalization group evolution.

Contribution

It introduces a novel approach to regularize rapidities in SCET, simplifying the calculation of the dijet cross section at NLO.

Findings

Reproduces the Sudakov form factor at NLL accuracy.

Shows the cross section factorizes into hard, jet, and soft functions.

Highlights that rapidity regularization may be unnecessary in this context.

Abstract

We study the (exclusive) kT jet algorithm using effective field theory techniques. Regularizing the virtualities and rapidities of graphs in the soft-collinear effective theory (SCET), we are able to write the next-to-leading-order dijet cross section as the product of separate hard, jet, and soft contributions. We show how to reproduce the Sudakov form factor to next-to-leading logarithmic accuracy previously calculated by the coherent branching formalism. Our result only depends on the renormalization group evolution of the hard function, rather than on that of the hard and jet functions as is usual in SCET. We comment that regularizing rapidities is not necessary in this case.