Azimuthal correlation function of polarized top quark in noncommutative space–time

The azimuthal correlation belongs to a class of polarization observables which vanishes at the Born term level in the standard model for the semileptonic rest frame decay of a polarized top quark t(↑)→bW+→bℓ+υℓ. In this frame, the azimuthal correlation is defined between the planes formed by the vectors (p→ℓ,p→Xb) and (p→ℓ,P→t). We calculate the azimuthal correlation function of polarized top quark in the framework of the noncommutative standard model for the first time. We find that this observable is nonzero in the leading order of noncommutative space–time. Further the appearance of the oscillatory azimuthal distribution of decay rate provides a practical possibility to test the noncommutativity in particle colliders.