A Nondiagonal Pair of Majorana Particles at $e^{+}{e}^{-}$ Colliders

Abstract

We perform a comprehensive and model-independent analysis for characterizing the spin and dynamical structure of the production of a non-diagonal pair of Majorana particles with different masses and arbitrary spins, $e^{-}{e}^{+}\to X_2{X}_1$, followed by a sequential two-body decay, $X_2\to Z{X}_1$, of the heavier particle $X_2$ into a $Z$ gauge boson and the lighter particle $X_1$ escaping undetected at high-energy $e^{+}{e}^{-}$ colliders. Standard leptonic $Z$-boson decays, $Z\to {\ell }^{-}{\ell }^{+}$ with $\ell =e$ or $\mu$, are employed for precisely diagnosing the $Z$ polarization influenced by the production and decay processes. Based on helicity formalism and Wick helicity rotation for describing the correlated production-decay amplitudes and distributions, we work out the implications on the amplitudes and distributions of discrete CP symmetry and the Majorana condition that two particles are their own anti-particles. For the sake of a concrete illustration, an example of this type in the minimal supersymmetric Standard Model is investigated in detail.

16 pages, 3 eps figures

References in corpus (5)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Phenomenology with Massive Neutrinos
• GUT Physics in the era of the LHC

Cited by in corpus (2)

• Vector currents of integer-spin Majorana particles
• Weaving the covariant three-point vertices efficiently