Renormalization Scale-Fixing for Complex Scattering Amplitudes | Zendy

Stanley J. Brodsky | Zendy; Felipe J. Llanes–Estrada | Zendy

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Renormalization Scale-Fixing for Complex Scattering Amplitudes

Author(s) -

Stanley J. Brodsky,

Felipe J. Llanes–Estrada

Publication year - 2005

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/877458

Subject(s) - renormalization , physics , scattering amplitude , parton , scattering , particle physics , amplitude , quantum chromodynamics , dispersion relation , deep inelastic scattering , scale (ratio) , quark , inelastic scattering , quantum electrodynamics , quantum mechanics

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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