Testing a cosmological teleparallel modified f(T) model with parametric H(z)

We study the late-time cosmological expansion of a modified teleparallel gravity model of type logarithmic type. This modified gravitational lagrangian yields a cosmological constant term and also power-law corrections to the teleparallel equivalent of general relativity (TEGR) for small lambda. By using the cosmological chronometers and the type Ia supernove data from the Pantheon+SH0ES dataset, we fit the parameters of the modified gravitational dynamics assuming H(z) parametrized by a quadratic expansion. The results exhibit an accelerated expansion with parameter q = - 0.435 plus or minus 0.028. In addition, we analyzed the effective energy density, pressure and state parameter omega. It turns out that, this modified gravitational theory produces solutions similar to the quintessence and phantom models.