Short-Distance Expansion of Heavy-Light Currents at Order 1/m

Details Short-Distance Expansion of Heavy-Light Currents at Order 1/m Short-Distance Expansion of Heavy-Light Currents at Order 1/m

1993-08-31

arxiv.org/abs/hep-ph/9308369v1

Phys.Rev.D49:1542-1550,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages LaTeX, SLAC-PUB-6344

Scientific paper

10.1103/PhysRevD.49.1542

The short-distance expansion of the heavy-light currents $\bar q\,\gamma^\mu Q$ and $\bar q\,\gamma^\mu\gamma_5\,Q$ is constructed to order $1/m_Q$, and to next-to-leading order in renormalization-group improved perturbation theory. It is shown that the $10\times 10$ anomalous dimension matrix, which describes the scale dependence of the dimension-four effective current operators in the heavy quark effective theory, is to a large extent determined by the equations of motion, heavy quark symmetry, and reparameterization invariance. The next-to-leading order expressions for the Wilson coefficients at order $1/m_Q$ depend on only five unknown two-loop anomalous dimensions, among them that of the chromo-magnetic operator.

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