Renormalization Scale-Fixing for Complex Scattering Amplitudes [report]

Stanley J. Brodsky, Felipe J. Llanes-Estrada
2005 unpublished
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
more » ... ading 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.
doi:10.2172/877458 fatcat:v4v4u2cy3jdizlroshkarftdvy