Noncommutative fermions and quarkonia decays

Understand

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider the possibility of extending the fermion sector with additional deformations, i.e.

• higher order fermionic terms.
• Since the renormalisability properties of the fermion sector of the model are not yet fully known, we work with an effective fermion lagrangian which includes noncommutative higher order terms involving a contraction with the noncommutative $\theta$ tensor aside from the star products, so that these terms annihilate in the commutative limit.
• Some of these terms violate CPT in the weak sector, and some violate CP in the strong and hypercharge sectors.