Spectator Effects in the Heavy Quark Effective Theory

Details Spectator Effects in the Heavy Quark Effective Theory Spectator Effects in the Heavy Quark Effective Theory

1996-07-03

arxiv.org/abs/hep-ph/9607233v2

Nucl.Phys. B496 (1997) 358-374

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 1 Postscript figure; replaced with journal version. Several errors in the anomalous dimension matrix corrected, whic

Scientific paper

10.1016/S0550-3213(97)00202-2

We present a complete analysis of the Heavy Quark Effective Theory Lagrangian at order $1/m^2$ in the leading logarithmic approximation, including effects induced by spectator quarks. At this order new correction terms appear in the effective Lagrangian, as four-quark operators containing both heavy and light quark fields. We compute the coefficients of these operators to one-loop order and in the leading-logarithmic approximation. Two of them break the heavy quark spin symmetry and we estimate their contribution to the hyperfine splitting of the heavy mesons in the factorization approximation. We find that they make a positive contribution to the hyperfine splitting of about 10% of the measured splitting in the charm case and of up to 5% in the bottom case.

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