The chromo-polarizabilities of a heavy quark at weak coupling

TL;DR

This paper calculates the renormalization group improved Wilson coefficients in HQET, focusing on heavy quark chromo-polarizabilities, and finds significant effects from leading logarithms and spectator quarks.

Contribution

It provides the first leading logarithmic expressions for ${ m O}(1/m^3)$ Wilson coefficients including spectator quark effects in HQET.

Findings

Large numerical impact of logarithmic corrections on chromo-polarizabilities

Spectator quark effects significantly influence the coefficients

Improved understanding of heavy quark interactions at weak coupling

Abstract

We obtain the renormalization group improved expressions of the Wilson coefficients of the HQET Lagrangian with leading logarithmic approximation to ${\cal O}(1/m^3)$ for the spin-independent sector, which includes the heavy quark chromo-polarizabilites. Our analysis includes the effects induced by spectator quarks. We observe that the numerical impact of these logarithms is very large in most cases.