Renormalons on the Lattice

TL;DR

This paper reports the first lattice calculation of B-meson properties, specifically the binding energy and kinetic energy, by non-perturbatively subtracting renormalon-induced divergences to improve accuracy.

Contribution

It introduces a non-perturbative renormalization method to cancel ultraviolet renormalon ambiguities in lattice calculations of B-meson parameters.

Findings

First lattice calculation of B-meson binding energy and kinetic energy.

Successful non-perturbative subtraction of power divergences.

Enhanced precision in heavy-quark operator matrix elements.

Abstract

We present the first lattice calculation of the B-meson binding energy $\labar$ and of the kinetic energy $\lambda_1/2 m_Q$ of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the ambiguities due to the ultraviolet renormalons present in the operator matrix elements, this calculation has required the non-perturbative subtraction of the power divergences present in the Lagrangian operator $\energy$ and in the kinetic energy operator $\kkinetic$. The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.