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Particles and Fields

Eur. Phys. J. C 25, 189-197 (2002)
DOI: 10.1007/s10052-002-0979-x

Influence of CP and CPT on production and decay of Dirac and Majorana fermions

G. Moortgat-Pick1 and H. Fraas2

1  DESY, Deutsches Elektronen-Synchrotron, 22603 Hamburg, Germany
2  Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany

(Received: 6 November 2001 / Revised version: 23 April 2002 / Published online: 12 July 2002 )

The consequences of CP and CPT invariance for production and subsequent decay of Dirac and Majorana fermions in polarized fermion-antifermion annihilation are analytically studied. We derive general symmetry relations for the production spin density matrix and for the three-particle decay matrices and obtain constraints for the polarization and the spin-spin correlations of Dirac and Majorana fermions. We prove that only for Majorana fermions the energy and opening angle distribution factorizes exactly into contributions from production and decay if CP is conserved.

© Società Italiana di Fisica, Springer-Verlag 2002