Sentence:  We prove analyticity and Borel summability in a suitable domain of the coupling constant of the simplest super-renormalizable TGFT which contains some ultraviolet divergencies, namely the color-symmetric quartic <WSD>melonic</WSD> rank-four model with Abelian U(1) gauge invariance, nicknamed U(1)-T^4_4. 
Meaning of the word marked with <WSD> tags:  Pertaining to a leading order graph.