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Quick Answer. One hand being colder than the other is a symptom of vascular thoracic outlet syndrome, according to Mayo Clinic. Vascular thoracic outlet syndrome is caused by the compression of nerves or blood vessels located between the collar bone and the first rib.
Is your right hand actually colder than the left if you touch the skin, or is it just a cold sensation that you have? Skin temperature and appearance isn't much for me to go on - my hands are always cold and discoloured because of my CRPS, but I also have carpal tunnel syndrome and when that flares it feels like an icy cold creeping into my hands even if the skin temp isn't changing much. Jim's & Chartreaux's suggestion about a journal is an excellent one.