Abstract
An extension of QED is considered in which the Dirac fermion has both Hermitian and anti-Hermitian mass terms, as well as both vector and axial-vector couplings to the gauge field. Gauge invariance is restored when the Hermitian and anti-Hermitian masses are of equal magnitude, and the theory reduces to that of a single massless Weyl fermion. An analogous non-Hermitian Yukawa theory is considered, and it is shown that this model can explain the smallness of the light-neutrino masses and provide an additional source of leptonic \( \mathcal{C}\mathcal{P} \) violation.
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Alexandre, J., Bender, C.M. & Millington, P. Non-Hermitian extension of gauge theories and implications for neutrino physics. J. High Energ. Phys. 2015, 111 (2015). https://doi.org/10.1007/JHEP11(2015)111
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DOI: https://doi.org/10.1007/JHEP11(2015)111