Renormalization Scale-Fixing for Complex Scattering Amplitudes

Details Renormalization Scale-Fixing for Complex Scattering Amplitudes Renormalization Scale-Fixing for Complex Scattering Amplitudes

2005-12-20

arxiv.org/abs/hep-ph/0512247v2

Eur.Phys.J.C46:751,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Second version, to be published in EPJC. several new comments and references

Scientific paper

10.1140/epjc/s2006-02520-0

We show how to fix the renormalization scale for hard-scattering exclusive processes such as deeply virtual meson electroproduction by applying the BLM prescription to the imaginary part of the scattering amplitude and employing a fixed-t dispersion relation to obtain the scale-fixed real part. In this way we resolve the ambiguity in BLM renormalization scale-setting for complex scattering amplitudes. We illustrate this by computing the H generalized parton distribution at leading twist in an analytic quark-diquark model for the parton-proton scattering amplitude which can incorporate Regge exchange contributions characteristic of the deep inelastic structure functions.

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