But Mathews shapes as the key figure. The world's sixth-ranked test batsman - sandwiched between transtasman series batting stars Kane Williamson and David Warner - averages 51.43.
Herath, who has taken 293 wickets in 65 tests, is ranked ninth among test bowlers.
The T20 squad will be led by colourful, and formidable fast bowler Lasith Malinga. It is Sri Lanka's best form of the game. They are the world's No 1 side in the shortest game, while New Zealand are seventh.
New Zealand have the edge in the other two forms, fifth in tests, fourth in ODIs, to Sri Lanka's seventh and fifth respectively.
The tour starts with the first test in Dunedin from December 10. The second follows in Hamilton starting on Deember 18, with five ODIs and two T20s to round off the tour.
Test squad: Angelo Mathews (captain), Kusal Mendis, Udara Jayasundera, Dinesh Chandimal, Kusal Perera, Milinda Siriwardana, Kithuruwan Vithanage, Dimuth Karunaratne, Dhammika Prasad, Nuwan Pradeep, Suranga Lakmal, Dushmantha Chameera, Rangana Herath, Dilruwan Perera, Jeffrey Vandersay