Complex sentence: Philip Henslowe's Diary records a payment of £3 to "Thomas Dickers" for the play; since this is at most half of Henslowe's usual fee for a play, one or more other payments, not recorded in the Diary, are likely.
Split into simpler sentences: Philip Henslowe's Diary records a payment of £3 to "Thomas Dickers" for the play. This was, at most, half of Henslowe's usual fee for a play, so one or more other payments, not recorded in the Diary, are likely.