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

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

1993-02-17

arxiv.org/abs/hep-ph/9302269v1

Phys.Lett. B306 (1993) 357-362

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0370-2693(93)90091-U

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 $v\cdot v'$ to order $1/m$.

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