HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case

TL;DR

This paper derives renormalization group improved Wilson coefficients for the spin-dependent heavy quark effective theory Lagrangian at order 1/m^3, using leading logarithmic accuracy in Coulomb gauge, relevant for zero light quarks.

Contribution

It provides the first renormalization group improved expressions for spin-dependent operators at order 1/m^3 in HQET with leading logarithmic accuracy.

Findings

Wilson coefficients explicitly calculated at leading logarithmic order

Results applicable to zero light quark case

Enhances precision in HQET spin-dependent analyses

Abstract

We obtain the renormalization group improved expressions of the Wilson coefficients associated to the ${\cal O}(1/m^3)$ spin-dependent heavy quark effective theory Lagrangian operators, with leading logarithmic approximation, in the case of zero light quarks. We have employed the Coulomb gauge.