Deeply Virtual Compton Scattering

what are Transition Distribution Amplitudes respectively Deeply Virtual Compton Scatterings ? I'm so unsure about the terms I can't even distinguish (in case they are not really related to each other). I found a lecture which claims to be an introduction ( https://www.ectstar.eu/sites/www.ectstar.eu/files/talks/Dieter_Mueller.pdf ) but no, it's not. At least not for me. Can someone please explain how to understand compton scattering in particle physics respectively how to use in Feynman graphs or just in general?

Deeply Virtual Compton Scattering (DVCS) is the simplest hard exclusive process related to Generalized Parton Distributions (GPDs): the scattering of an electron off a proton through the exchange of a photon of virtuality Q2, accompanied by the re-emission of a real photon. http://irfu.cea.fr/en/Phocea/Vie_des_labos/Ast/ast_visu.php?id_ast=4192

But I guess there are too much topics involved I just don't know. Isn't Compton $$\gamma \to e^-$$ ? So here it is $$e^- \to p$$ ?

DVCS to be true to D needs a lot of $$Q^2$$ transferred from the electron to the process. The C comes by thinking of the virtual gamma as the real one in Compton scattering. You would have to read the model to understand the mathematics of it.