Computing the nucleon sigma terms at the physical point

Nucleon sigma terms are quantities that play an important role in various areas: among others, they connect the pion-nucleon and the kaon-nucleon amplitudes to the hadron spectrum and they are also relevant for the direct detection of Dark Matter. We present preliminary results for the up-down and strange sigma terms obtained from $N_f=2+1$ lattice simulations that are performed at five lattice spacings and for pion masses all the way down to its physical value.