Two-loop hybrid renormalization of local dimension-4 heavy-light operators

Abstract

The renormalization of local dimension-4 operators containing a heavy and a light quark field at scales below the heavy-quark mass is discussed, using the formalism of the heavy-quark effective theory. The anomalous dimensions of these operators and their mixing are calculated to two-loop order. Some phenomenological applications are briefly discussed.

11 pages, 2 figures

References in corpus (8)

• Heavy Quark Symmetry
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Two-loop renormalization of the effective field theory of a static quark
• The Decay $B\to \pi \ell \nu$ in Heavy Quark Effective Theory
• Equations of Motion for Effective Lagrangians and Penguins in Rare B-Decays
• Two-Loop Anomalous Dimension of the Chromo-Magnetic Moment of a Heavy Quark
• Short-Distance Expansion of Heavy-Light Currents at Order 1/m
• Hybrid Renormalization of Penguins and Dimension-5 Heavy--Light Operators

Cited by in corpus (4)

• On the Inclusive Determination of V_{ub} from the Lepton Invariant Mass Spectrum
• Asymptotics of the perturbative series for f_{B^*}/f_B
• Improved Determination of |V_{ub}| from Inclusive Semileptonic B-Meson Decays
• Two-Loop Renormalization of Heavy--Light Currents at Order 1/m_Q in the Heavy-Quark Expansion