  T2K (Tokai to Kamioka) is a long-baseline neutrino oscillation experiment
located in Japan and designed to measure neutrino flavor oscillation using an
off-axis neutrino beam. Data collected recently with an anti-neutrino beam
allows T2K to measure cross sections for anti-neutrinos at an energy around 600
MeV using the off-axis near detector. These measurements, along with the
analogous for neutrinos, are vital inputs to neutrino oscillation analyses and
their interpretation. In this work preliminary results on the simultaneous
extraction of the muon neutrino and anti-neutrino charged-current cross
sections without pions in the final state is presented. The two cross sections
will be measured as a function of muon kinematic allowing to evaluate the sum,
difference and asymmetry between the two cross sections. These results are
useful for comparison and tuning of theoretical models of nuclear effects such
as multinucleon interactions (also know as 2 particle-2 hole processes).
