First of all, this question is not about the conspiracy theory based chemtrails as in the linked question, from the answers there and from the question Equation for predicting contrail formation I understand how contrails form and how they could be predicted. Also, the evidence (as in the links and discussions within the answers to the linked questions, reveal that much of the chemistry of contrails is water and some soot.
Observations of contrails (from the ground and from satellite imagery) in the webpage Contrails by Professor Steve Ackerman of the University of Wisconsin, he notes that contrails
rapidly dissipate or spread horizontally into an extensive thin cirrus layer.
and also states that
NASA and the DOE are sponsoring a research program to study the impact contrails have on atmospheric chemistry, weather and climate.
Given it is long known that clouds affect the atmospheric radiation budget, is there evidence of atmospheric radiative effects of contrails?