Annales Henri Poincaré

, Volume 12, Issue 8, pp 1539–1570 | Cite as

Spectral Theory for a Mathematical Model of the Weak Interaction: The Decay of the Intermediate Vector Bosons W ±, II

  • Walter H. Aschbacher
  • Jean-Marie Barbaroux
  • Jérémy Faupin
  • Jean-Claude Guillot


We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W ±. Using Mourre theory, it is shown that the spectrum between the unique ground state and the first threshold is purely absolutely continuous. Neither sharp neutrino high-energy cutoff nor infrared regularization is assumed.


Gauge Boson Weak Decay Limit Absorption Principle Full Family Infrared Regularization 
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Authors and Affiliations

  • Walter H. Aschbacher
    • 1
  • Jean-Marie Barbaroux
    • 2
    • 3
  • Jérémy Faupin
    • 4
  • Jean-Claude Guillot
    • 1
  1. 1.Centre de Mathématiques Appliquées, UMR 7641École Polytechnique-CNRSPalaiseau CedexFrance
  2. 2.Centre de Physique ThéoriqueMarseille Cedex 9France
  3. 3.Département de MathématiquesUniversité du Sud Toulon-VarLa Garde CedexFrance
  4. 4.Institut de Mathématiques de Bordeaux , UMR-CNRS 5251Université de Bordeaux 1Talence CedexFrance

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