Generalized Landau Yang theorem

A bstract 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.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-03-11
DOI
https://doi.org/10.1007/jhep03(2025)067
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

Generalized Landau Yang theorem

T. R. Govindarajan, Rakesh Tibrewala
Journal of High Energy Physics
Advanced Algebra and Geometry
article

Generalized Landau Yang theorem

T. R. Govindarajan, Rakesh Tibrewala
article en

Abstract

A bstract 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.

Journal of High Energy PhysicsVol. 2025(3)
LNM Institute of Information Technology (IN), Krea University
Openalex Percentile: Top 91%
Advanced Algebra and Geometry
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