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.

arXiv comment16 pages, 3 eps figures

References in corpus (27)

• 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
• A Large Mass Hierarchy from a Small Extra Dimension
• The Hierarchy Problem and New Dimensions at a Millimeter
• Particle Dark Matter: Evidence, Candidates and Constraints
• Supersymmetric Dark Matter
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Bounds on Universal Extra Dimensions
• Electroweak baryogenesis
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Phenomenology with Massive Neutrinos
• Aspects of Split Supersymmetry
• The origin of the matter-antimatter asymmetry
• Leptogenesis as the origin of matter
• Combined measurements of Higgs boson production and decay using up to $80$ fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment
• Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Split Supersymmetry
• Analysis of the Neutralino System in Supersymmetric Theories
• Addressing the Majorana vs. Dirac Question with Neutrino Decays
• GUT Physics in the era of the LHC
• Analysis of the Neutralino System in Two--Body Decays of Neutralinos
• Electromagnetic properties of neutral and charged spin 1 particles
• Influence of CP and CPT on production and decay of Dirac and Majorana fermions
• Characterizing Invisible Electroweak Particles through Single-Photon Processes at High Energy $e^{+}{e}^{-}$ Colliders
• $Z$-boson polarization as a model-discrimination analyzer
• Spin and Chirality Effects in Antler-Topology Processes at High Energy $e^{+}{e}^{-}$ Colliders
• Electromagnetic properties of spin-3/2 Majorana particles

Cited by in corpus (2)

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