Reparametrization invariance and the expansion of currents in the heavy quark effective theory

Abstract

The coefficients appearing at leading and subleading order in the $1/m$ expansion of bilinear heavy quark currents are related to each other by imposing reparametrization invariance on both the effective current operators and the short-distance coefficient functions in the heavy quark effective theory. When combined with present knowledge about the leading order coefficients, the results allow to calculate all coefficients appearing at order $1/m$ to next-to-leading order in renormalization-group improved perturbation theory. They also provide a meaningful definition of the velocity transfer variable $v\cdot v^{\prime }$ to order $1/m$.

10 pages ReVTeX, SLAC-PUB-6059 (no figures)

References in corpus (5)

• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• Infrared Factorization, Wilson Lines and the Heavy Quark Limit
• Two-loop renormalization of the effective field theory of a static quark
• The Residual Mass Term in the Heavy Quark Effective Theory
• Heavy Hadron Form Factor Relations for $m_c\ne \infty$ and $\bas(m_c)\ne0$

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