Renormalization Scale-Fixing for Complex Scattering Amplitudes
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0512247,
title = {Renormalization Scale-Fixing for Complex Scattering Amplitudes},
author = {Stanley J. Brodsky and Felipe J. Llanes-Estrada},
journal= {arXiv preprint arXiv:hep-ph/0512247},
year = {2009}
}
Comments
Second version, to be published in EPJC. several new comments and references