Rotation-invariant observables in parity-violating decays of vector particles to fermion pairs

Abstract

The di-fermion angular distribution observed in decays of inclusively produced vector particles is characterized by two frame-independent observables, reflecting the average spin-alignment of the produced particle and the magnitude of parity violation in the decay. The existence of these observables derives from the rotational properties of angular momentum eigenstates and is a completely general result, valid for any J=1 state and independent of the production process. Rotation-invariant formulations of polarization and of the decay parity-asymmetry can provide more significant measurements than the commonly used frame-dependent definitions, also improving the quality of the comparisons between the measurements and the theoretical calculations.

To be published in Phys. Rev. D

References in corpus (3)

• Towards the experimental clarification of quarkonium polarization
• Rotation-invariant relations in vector meson decays into fermion pairs
• A new approach to quarkonium polarization studies

Cited by in corpus (7)

• Measurement of $J/\psi$ polarization in $pp$ collisions at $\sqrt{s}=7$ TeV
• Measurement of $\psi (2S)$ polarisation in $pp$ collisions at $\sqrt{s}=7$ TeV
• Prompt charmonia production and polarization at LHC in the NRQCD with kt-factorization. Part I: psi(2S) meson
• Quantum tomography for collider physics: Illustrations with lepton pair production
• Measurement of the ${\rm Y}$ polarizations in $pp$ collisions at $\sqrt{s}$=7 and 8TeV
• Rotation-invariant observables as Density Matrix invariants
• Minimal physical constraints on the angular distributions of two-body boson decays