Renormalization Scale-Fixing for Complex Scattering Amplitudes

Brodsky, Stanley J. ; /SLAC ; Llanes-Estrada, Felipe J. ; U., /Madrid

Stanford Linear Accelerator Center

关键词: Phenomenology-Hep,Hepph, Hepth;    Electroproduction;    Structure Functions Phenomenology-Hep,Hepph, Hepth;    Partons;    Mesons;   

DOI  :  10.2172/877458
RP-ID  :  SLAC-PUB-11605
RP-ID  :  AC02-76SF00515
RP-ID  :  877458

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.