New contributions to heavy quark sum rules

Details New contributions to heavy quark sum rules New contributions to heavy quark sum rules

2002-02-12

arxiv.org/abs/hep-ph/0202114v2

Eur.Phys.J.C24:439-446,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures. Version accepted for publication in The European Journal of Physics C; several new comments and reference

Scientific paper

10.1007/s10052-002-0954-6

We analyse new contributions to the theoretical input in heavy quark sum rules and we show that the general theory of singularities of perturbation theory amplitudes yields the method to handle these specific features. In particular we study the inclusion of heavy quark radiation by light quarks at O(alpha_s^2) and non-symmetric correlators at O(alpha_s^3). Closely related, we also propose a solution to the construction of moments of the spectral densities at O(alpha_s^3) where the presence of massless contributions invalidates the standard approach. We circumvent this problem through a new definition of the moments, providing an infrared safe and consistent procedure.

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