The twisted Wilson fermion for the Standard Model on a lattice

We present a preliminary study of a chiral-gauge-invariant Wilson term for the Standard Model on a lattice. In the strong coupling limit for doublers, this Wilson term shows that the doublers of leptons (quarks) are anti-baryons (anti-leptoquarks), and they are decoupled by getting gauge invariant masses. We discuss that the possibility of achieving the low-energy Standard Model could be realized by the ``three-fermion-cuts'' at the weak coupling limit for normal modes, where baryons and leptoquarks dissolve into their constituents.