Generalized Landau Yang Theorem

Fuente: arXiv
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Autori principali: Govindarajan, T. R., Tibrewala, Rakesh
Natura: Preprint
Pubblicazione: 2024
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author Govindarajan, T. R.
Tibrewala, Rakesh
author_facet Govindarajan, T. R.
Tibrewala, Rakesh
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_04786
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalized Landau Yang Theorem
Govindarajan, T. R.
Tibrewala, Rakesh
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
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.
title Generalized Landau Yang Theorem
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2410.04786