No there isn't. Romans never wrote about it, and the "Yeshu" in the Jewish Talmud refers to an apprentice of Jehoshua Ben-Perachia.

If neither Jewish nor Roman historians have wrote about him, then what kind of evidence are we talking about. (other than the gospels which are also likely a fiction book)

As described on this article, Jesus was pretty likely a composite fictional character with inspirations from multiple real world events and paganistic elements incorporated into Christianity.