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Effective Field Theory for a Heavy Majorana Fermion

High Energy Physics - Phenomenology 2013-05-29 v2 High Energy Physics - Theory

Abstract

We formulate an effective theory for systems containing a heavy Majorana fermion, such as bound states of a long-lived gluino. This "Majorana HQET" has the same degrees of freedom as the well-studied Dirac HQET. It respects an emergent U(1) symmetry despite the fundamental absence of a U(1) for Majorana fermions. Reparameterization invariance works identically in the two HQETs. Remarkably, while a Dirac HQET may or may not be charge conjugation symmetric, a charge conjugation symmetry emerges in all Majorana HQETs, potentially offering low energy probes to distinguish the two theories.

Keywords

Cite

@article{arxiv.1108.2702,
  title  = {Effective Field Theory for a Heavy Majorana Fermion},
  author = {Karoline Kopp and Takemichi Okui},
  journal= {arXiv preprint arXiv:1108.2702},
  year   = {2013}
}

Comments

To appear in PRD. Fixed one mismatch in referencing, one reference updated. 4 pages