CPT, CP, and C transformations of fermions, and their consequences, in theories with B-L violation

Susan Gardner, Xinshuai Yan

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21 Scopus citations


We consider the transformation properties of fermions under the discrete symmetries CPT, CP, and C in the presence of B-L violation. We thus generalize the analysis of the known properties of Majorana neutrinos, probed via neutrinoless double beta decay, to include the case of Dirac fermions with B-L violation, which can be probed via neutron-antineutron oscillations. We show that the resulting CPT phase has implications for the interplay of neutron-antineutron oscillations with external fields and sources and consider the differences in the Majorana dynamics of neutrinos and neutrons in the context of theories with self-conjugate isospin I=0 and I=1/2 fields.

Original languageEnglish
Article number096008
JournalPhysical Review D
Issue number9
StatePublished - May 20 2016

Bibliographical note

Funding Information:
We acknowledge partial support from the Department of Energy Office of Nuclear Physics under Contract No.DE-FG02-96ER40989. The work of S.G. was performed, in part, at the Aspen Center for Physics, which is supported by the National Science Foundation Grant No.PHY-1066293, and at the Institute of Nuclear Theory (INT).

Publisher Copyright:
© 2016 American Physical Society.

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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