Non-Abelian Dipole Radiation and the Heavy Quark Expansion

Andrzej Czarnecki; Kirill Melnikov; Nikolai Uraltsev

doi:10.1103/PhysRevLett.80.3189

Non-Abelian Dipole Radiation and the Heavy Quark Expansion

Andrzej Czarnecki, Kirill Melnikov, and Nikolai Uraltsev

Phys. Rev. Lett. 80, 3189 – Published 13 April 1998

Abstract

Dipole radiation in QCD is derived to the second order in $α_{s}$ . A powerlike evolution of the spin-singlet heavy quark operators is obtained to the same accuracy. We give an $O (α_{s}^{2})$ relation between the short-distance low-scale running heavy quark mass and the mass in the modified minimal subtraction scheme. We discuss the properties of an effective QCD coupling $α_{s}^{(d)} (E)$ which governs the dipole radiation. We argue that this coupling is advantageous for describing heavy quark physics.

Received 9 September 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.3189

Authors & Affiliations

Andrzej Czarnecki^* and Kirill Melnikov

Institut für Theoretische Teilchenphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Nikolai Uraltsev^†

Department of Physics, University of Notre Dame du Lac, Notre Dame, Indiana 46556

^*Present address: Physics Department, Brookhaven National Laboratory, Upton, New York 11973.
^†Permanent address: Petersburg Nuclear Physics Institute, Gatchina, 188350 St. Petersburg, Russia.