I just wanted to add a brief comment re: the name of the connecting element in question.
I personally haven't seen any standardised term for it. Sometimes it is referred to as a bow or a loop (e.g. the Chicago Manual of Style, 17th ed.). Descriptively, it is a semicircular stroke above ct.
I'm not quite sure why - perhaps @Cerberus or someone else could corroborate this - but I think it is so because it would be rather superfluous. The most common way to refer to ct is either the ct-ligature or ligatured ct, which already implies presence/use of the connecting symbol, so really there is no need to have a special term for it.
see below, for instance, a screenshot from Delorez 2006 The Palaeography of Gothic manuscript books: From the twelfth to the early sixteenth century: