A Simple Method of Calculating Effective Operators

TL;DR

This paper introduces a straightforward technique for calculating effective operators in scattering processes, enabling accurate representation of higher-dimensional operators from various beyond-standard-model theories without relying on equations of motion.

Contribution

It presents a general method to compute effective operators directly, including a complete set of dimension six operators in QCD and examples from beyond-standard-model physics.

Findings

Successfully represents all relevant dimension six operators in QCD.

Demonstrates the method with an example of anomalous 4-Fermi interactions.

Provides a practical approach to effective operator calculation without equations of motion.

Abstract

It is important to obtain effective operators by integrating out high energy degrees of freedom in physics. We suggest a general method of calculating accurate irrelevant operators in a scattering process without use of equation of motions. By using this method, for example, we will represent a complete set of dimension six operators in QCD, which are induced from physics beyond the standard model, supersymmetry and universal extra dimension. We will also show an example of effective anomalous 4-Fermi interactions induced from a little Higgs model.