IR-Improved Operator Product Expansions in non-Abelian Gauge Theory

TL;DR

This paper introduces an infrared finite operator product expansion for non-Abelian gauge theories, enhancing the precision of QCD calculations relevant for LHC physics by connecting with IR-improved DGLAP-CS theory.

Contribution

It develops an IR-finite operator product expansion applicable to massless non-Abelian gauge theories, improving theoretical tools for high-precision QCD predictions.

Findings

Infrared finiteness achieved to all orders in the coupling constant.

Connection established with IR-improved DGLAP-CS theory.

Implications for phenomenology at the LHC.

Abstract

We present a formulation of the operator product expansion that is infrared finite to all orders in the attendant massless non-Abelian gauge theory coupling constant, which we will often-times associate with the QCD theory, the theory that we actually have as our primary objective in view of the operation of the LHC at CERN. We make contact in this way with the recently introduced IR-improved DGLAP-CS theory and point-out phenomenological implications accordingly, with an eye toward the precision QCD theory for LHC physics.