The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics

TL;DR

Lattice perturbation theory is crucial in B physics for precise calculations of nonperturbative inputs, aiding the search for new physics through improved Standard Model tests at the LHC.

Contribution

This review clarifies how lattice perturbation theory is applied across different heavy quark formalisms and its role in nonperturbative determinations in B physics.

Findings

Lattice perturbation theory enhances precision in nonperturbative calculations.

It is widely used across major lattice collaborations for heavy quark formalisms.

The theory supports the search for new physics by refining Standard Model tests.

Abstract

As new experimental data arrive from the LHC the prospect of indirectly detecting new physics through precision tests of the Standard Model grows more exciting. Precise experimental and theoretical inputs are required to test the unitarity of the CKM matrix and to search for new physics effects in rare decays. Lattice QCD calculations of nonperturbative inputs have reached a precision at the level of a few percent; in many cases aided by the use of lattice perturbation theory. This review examines the role of lattice perturbation theory in B physics calculations on the lattice in the context of two questions: how is lattice perturbation theory used in the different heavy quark formalisms implemented by the major lattice collaborations? And what role does lattice perturbation theory play in determinations of nonperturbative contributions to the physical processes at the heart of the search for new physics? Framing and addressing these questions reveals that lattice perturbation theory is a tool with a spectrum of applications in lattice B physics.