https://doi.org/10.1140/epjc/s10052-013-2336-7
Regular Article - Theoretical Physics
(B–L) symmetry vs. neutrino seesaw
1
Faculty of Physics, University of Warsaw, Hoża 69, Warsaw, Poland
2
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Mühlenberg 1, 14476, Potsdam, Germany
* e-mail: alatos@fuw.edu.pl
Received:
29
October
2012
Revised:
26
January
2013
Published online:
6
March
2013
We compute the effective coupling of the Majoron to W bosons at 
by evaluating the matrix element of the (B–L) current between the vacuum and a W
+
W
− state. The (B–L) 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 (B–L) current remains exactly conserved to all orders in ħ, lending additional support to our previous proposal to identify the Majoron with the axion.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
