Generalized Landau Yang Theorem

Abstract

Landau Yang theorem is well known for the past several decades. It prohibits the decay of a massive spin 1 particle to two photons. This emerges simply from the representation theory of the Poincare group and Bose Statistics. It does not require any action or Lagrangian. We generalize this theorem to theories with supersymmetry (SUSY) which disallows even decay to two photinos (Majorana fermions) as well as the decay of a zino to a photon and a photino. We will prove that if the photon has a mass, howsoever small, this theorem can be evaded. We also show that the supersymmetric selection rule above can also be evaded through the Stueckelberg mass term. Further interesting implications are also pointed out.

Typos corrected, matches the published version

References in corpus (7)

• Aspects of the Stueckelberg Extension
• A note on the fate of the Landau-Yang theorem in non-Abelian gauge theories
• Decay of Spin-One Particle into Two Photons in Presence of Uniform External Magnetic Field
• Infrared Effects and the Soft Photon Theorem in Massive QED
• Stuckelberg SUSY QED and Infrared Problem
• Selection rules for the decay of a particle into two identical massless particles of any spin
• Z^0 \to 2γand the Twisted Coproduct of the Poincaré Group