Anomalous contributions to the electric and magnetic dipole moments of the
Ο lepton from new physics scenarios have brought renewed interest in the
development of new charge-parity violating signatures in Ο pair production
at Belle II energies, and also at higher energies of the Large Hadron Collider
and the Future Circular Collider. In this paper, we discuss the effects of spin
correlations, including transverse degrees of freedom, in the Ο pair
production and decay. These studies include calculating analytical formulas,
obtaining numerical results, and building semi-realistic observables sensitive
to the transverse spin correlations induced by the dipole moments of the Ο
lepton.
The effects of such anomalous contributions to the dipole moments are
introduced on top of precision simulations of eβe+βΟβΟ+,
qqΛββΟβΟ+ and Ξ³Ξ³βΟβΟ+ processes,
involving multi-body final states. Respective extensions of the Standard Model
amplitudes and the reweighting algorithms are implemented into the {\tt KKMC}
Monte Carlo, which is used to simulate Ο pair production in eβe+
collisions, and the {\tt TauSpinner} program, which is used to reweight events
with Ο pair produced in pp collisions.Comment: 28 pages, 5 figure