Kale aka "female Broly" (unofficial nickname) is shown to have a super saiyan transformation of green color similar in aspect to the transformation of Broly. Does this transformation already have an official name? (from japanese magazines, previews, etc.?)
It seems the transformation name is going to be "Super Saiyan Berserk" because some Dragon Ball Super figurines (toys) of Kale transformed in SSJ appeared, and they are labeled like that. Besides a provisional title for DBS episode 100 appeared, and it is (spoiler)
Awakening of the Berserk Warrior!
Update: 16/07/2017 In the preview of Dragon Ball Super episode 100, the title is "Out of control. The savage Berserker awakens!!" so I guess we can take this as her confirmed name.
Legendary Super Saiyan or Super Saiyan Berserk. I think they call it Super saiyan Berserk because in the Dragon Ball series, Goku and CO never meet Broly, so they have no idea about the green transformation. So they refer to the way Kale act when transformed.