On the heavy quark mass expansion for the operator Qbar gamma_5 Q and the charm content of eta, eta'

Details On the heavy quark mass expansion for the operator Qbar gamma_5 Q and the charm content of eta, eta' On the heavy quark mass expansion for the operator Qbar gamma_5 Q and the charm content of eta, eta'

1998-10-13

arxiv.org/abs/hep-ph/9810343v1

Phys.Lett. B454 (1999) 335-338

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1016/S0370-2693(99)00344-5

Recently in the context of studies of the intrinsic charm content of the nucleon and of the eta' meson two groups have arrived at different results for the 1/m^3 term of the heavy quark expansion for operator $\bar Q\gamma_5Q$ differing by the factor of six. We show that the form of both results violates certain general conditions. Using the expression for the axial anomaly with the finite Pauli-Villars regularization we obtain a new expression for 1/m^3 term of the heavy quark expansion for $\bar Q\gamma_5 Q$. With this new result we obtain an estimate for the constant f_{\eta'}^{(c)}=-2 MeV.

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