|DATE||December 07 (Tue), 2021|
|INSTITUTE||University of Nottingham|
|TITLE||Non-Hermiticity: a new paradigm for model building in particle physics|
|ABSTRACT||Non-Hermitian quantum theories have been applied in many other areas of physics. In this talk, I will review recent developments in the formulation of non-Hermitian quantum field theories, highlighting features that are unique compared to Hermitian theories . I will describe their crucial discrete symmetries and how continuous symmetry properties are borne out, including Noether's theorem , the Goldstone theorem  and the Englert-Brout-Higgs mechanism [4,5]. As examples, I will describe non-Hermitian deformations of (scalar) QED , the Higgs-Yukawa theory  and flavour oscillations , illustrating the potential implications of non-Hermitian model building for the neutrino sector . I will also discuss a supersymmetric non-Hermitian model . Together, these results pave the way for a systematic programme for building non-Hermitian extensions of the Standard Model of particle physics.
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