Factorization and resummation for color octet production

TL;DR

This paper develops a universal factorization theorem for heavy colored particle production at the LHC, incorporating resummation of large logarithms near threshold, with a focus on gluon-gluon fusion processes.

Contribution

It introduces a model-independent factorization theorem for heavy colored particle production using Soft Collinear Effective Theory, including resummation techniques near the production threshold.

Findings

Derived a universal factorization theorem for gluon-gluon fusion

Performed resummation of large logarithms at threshold

Applied the framework to the Manohar-Wise model

Abstract

We discuss the production of heavy colored paricles at the Large Hadron Collider (LHC) through gluon-gluon fusion process. A factorization theorem is obtained for this process using Soft Collinear Effective Theory. Our factorization theorem does not depend on any assumptions regarding the physics above the mass of the heavy colored particle. In this sense it is universal. The matching coefficient at the heavy particle mass scale depends however on the unkown physics above that scale and thus it is model dependent. Due to the large mass of the heavy colored particle, i.e., the hard scale and near the partonic kinematic threshold for production of such particles a resummation of large logarithms needs to be performed. The resummation is justified due to the dominance of the gluon distribution function at small $x$. For phenomenological purposes we utilize the Manohar-Wise model.