Generalised CP symmetry in modular-invariant models of flavour

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作者
P.P. Novichkov
J.T. Penedo
S.T. Petcov
A.V. Titov
机构
[1] SISSA and INFN — Sezione di Trieste,CFTP, Departamento de F´ısica, Instituto Superior Técnico
[2] Universidade de Lisboa,Institute of Nuclear Research and Nuclear Energy
[3] Bulgarian Academy of Sciences,Kavli IPMU (WPI)
[4] University of Tokyo,Institute for Particle Physics Phenomenology, Department of Physics
[5] Durham University,undefined
关键词
Beyond Standard Model; CP violation; Neutrino Physics;
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摘要
The formalism of combined finite modular and generalised CP (gCP) sym-metries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus τ and on the matter fields are derived. The implications of gCP symmetry in theories of flavour based on modular invariance described by finite modular groups are illustrated with the example of a modular S4 model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus τ being the only source of CP violation.
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