f(T) Non-linear Massive Gravity and the Cosmic Acceleration

Inspired by the f(R) non-linear massive gravity, we propose a new kind of modified gravity model, namely f(T) non-linear massive gravity, by adding the dRGT mass term reformulated in the vierbein formalism, to the f(T) theory. We then investigate the cosmological evolution of f(T) massive gravity, and constrain it by using the latest observational data. We find that it slightly favors a crossing of the phantom divide line from the quintessence-like phase (w_de > -1) to the phantom-like one (w_de < -1) as redshift decreases.