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. Fraas21 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 )
Abstract
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
