Towards the detecting of pseudo-Hermitian anomalies for negative square   masses neutrinos in intensive magnetic fields
  One of the primary goals of contemporary physics of neutrinos after discovery of their masses become the investigation of their electromagnetic properties. This is a necessary step for creation of new physics beyond the Standard Model (SM), which no longer can claim the role theory explaining everything phenomenon of the Universe. On this it should draw attention because SM remains consistent local scheme for any value of the masses of particles $0\leq m <\infty $. Now the masses of elementary particles can exceed even Planck's mass $m_{Planck}\simeq 10^{19}GeV$, which is the largest scale mass in the Universe. For solving this problem of studying of electromagnetic interactions of neutrino we suggest use the methods of relativistic quantum theory with the limiting mass $m\leq M$. The restriction of mass spectrum of fermions can be obtained in the frame of non-Hermitian (pseudo-Hermitian) fermion systems having the direct application to the neutrino physics. The systems of the similar type include so-called parity-time-symmetric (${\cal PTS}$) - models, which already are used in various fields of modern physics and, in particular for experimental investigation of ${\cal PTS}$-optics. We also hope that experimental problem neutrinos with the negative mass squared could be also solved on the basis of ${\cal PTS}$-notions taking into account the characteristics of neutrinos of new type ("exotic neutrino") emerging in the theory with the Maximal Mass. 
Vasily Rodionov
physics.gen-ph