On the Renormalization of Heavy Quark Effective Field Theory

Abstract

The construction of heavy quark effective field theory (HqEFT) is extended to arbitrary order in both expansion parameters ${\alpha }_s$ and $1/m_q$. Matching conditions are discussed for the general case, and it is verified that this approach correctly reproduces the infrared behaviour of full QCD. Choosing a renormalization scheme in the full theory fixes the renormalization scheme in the effective theory except for the scale of the heavy quark field. Explicit formulae are given for the effective Lagrangian, and one--loop matching renormalization constants are computed for the operators of order $1/m$. Finally, the multiparticle sector of HqEFT is considered.

16 pages, IKDA 93/23

References in corpus (2)

• The Residual Mass Term in the Heavy Quark Effective Theory
• Unimagined Imaginary Parts in Heavy Quark Effective Field Theory

Cited by in corpus (5)

• Non-perturbative tests of Heavy Quark Effective Theory
• Renormalization of Heavy Quark Effective Field Theory: Quantum Action Principles and Equations of Motion
• Renormalizing the heavy quark effective field theory Lagrangian to order 1/m^2
• The Mass Definition in Hqet and a New Determination of V${}_{\text{cb}}$
• Treating divergence in quark matter by using energy projectors