(BL) symmetry vs. neutrino seesaw

  • Adam Latosiński
  • Krzysztof A. Meissner
  • Hermann Nicolai
Regular Article - Theoretical Physics

Abstract

We compute the effective coupling of the Majoron to W bosons at \(\mathcal{O}(\hbar)\) by evaluating the matrix element of the (BL) current between the vacuum and a W + W state. The (BL) anomaly vanishes, but the amplitude does not vanish as a result of a UV finite and non-local contribution which is entirely due to the mixing between left-chiral and right-chiral neutrinos. The result shows how anomaly-like couplings may arise in spite of the fact that the (BL) current remains exactly conserved to all orders in ħ, lending additional support to our previous proposal to identify the Majoron with the axion.

Keywords

Lepton Number Spontaneous Symmetry Breaking Number Symmetry Majorana Mass Term Complex Scalar Field 

Notes

Acknowledgements

We are grateful to Wilfried Buchmüller and Misha Shaposhnikov for critical and constructive comments and discussions.

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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • Adam Latosiński
    • 1
  • Krzysztof A. Meissner
    • 1
    • 2
  • Hermann Nicolai
    • 2
  1. 1.Faculty of PhysicsUniversity of WarsawWarsawPoland
  2. 2.Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)PotsdamGermany

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