If you are encouraging someone to go:
* Vas-y, mon chéri/ma chérie: This is the most common and literal translation, meaning "Go, my darling".
* Allez, mon cœur/ma mie: This means "Go, my love/my sweetheart".
* Vas-y, mon amour: This means "Go, my love".
If you are addressing someone with a term of endearment:
* Chéri/Chérie: This means "Darling" and is often used as a term of endearment.
* Mon cœur/ma mie: This means "My love/my sweetheart" and is also a common term of endearment.
* Mon amour: This means "My love" and is another term of endearment.
The best option will depend on the specific situation and the relationship between the speakers.