Lattice Simulations and Effective Theories

TL;DR

This paper introduces lattice quantum field theory, discusses its application in particle physics phenomenology, and examines the role of renormalons in power correction calculations, using the $f_B$ decay constant as a case study.

Contribution

It provides an overview of lattice formulations and explores the impact of renormalons on higher-twist corrections in particle physics calculations.

Findings

Lattice simulations are effective for computing decay constants like $f_B$.

Renormalons play a significant role in power correction evaluations.

The paper clarifies the cancellation mechanisms of renormalons in hard scattering processes.

Abstract

I present a brief introduction to the lattice formulation of quantum field theory, and discuss the use of lattice simulations for studies in particle physics phenomenology. The computation of $f_B$, the decay constant of the $B$-meson, is used as a case study. I also explain the appearance and cancellation of ``renormalons'' in the evaluation of power corrections (higher-twist corrections) in hard scattering and decay processes.