While Sony had a little antenna adapter with impedence matching for the jack, in practice, a couple of simple adapters will work.
The input is a mono miniature phone jack (like a mono earphone). There are adapters to go from mini phone to RCA and adapters to go from RCA to "F" (antenna coax). I'd put the coax to RCA on the box and the RCA to phone on the TV with a simple RCA cable to connect the two.
Female RCA to Male F Adapter - MCM 27-460
RCA ADAPTER INLINE MONO METAL RCA FEMALE TO 3.5MM MALE - MCM 27-315
I've not seen a single adapter that goes from mini phone to coax. You can build one if you have rudimentary soldering skills.