Science defines Heat as molecular vibration, and Cold as a lack thereof.
Since Cold is basically a negative, it is incapable of radiation. Heat can radiate, or we would never feel the warmth of the sun, but it only does so second hand. Electro-Magnetic Waves do radiate and the molecules of the objects they strike are excited, generating radiant heat.
None of that explains why, as I sit here, I can feel the cold radiating from the window behind my back.