publication . Article . Other literature type . Preprint . 2019

Generalised CP symmetry in modular-invariant models of flavour.

Novichkov, P.P.; Penedo, J.T.; Petcov, S.T.; Titov, A.V.;
Open Access
  • Published: 01 Jul 2019 Journal: Journal of High Energy Physics, volume 2,019 (eissn: 1029-8479, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
  • Country: United Kingdom
Abstract
The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry transformations acting on the modulus $\tau$ 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 $S_4$ model of lepton flavour. Due to the addition of the gCP symmetry, viable modular models turn out to be more constrained, with the modulus $\tau$ being the only source of CP violation.
Subjects
arXiv: High Energy Physics::PhenomenologyHigh Energy Physics::ExperimentPhysics::General Physics
free text keywords: Nuclear and High Energy Physics, Particle physics, Modular invariance, Physics beyond the Standard Model, Invariant (mathematics), Modular design, business.industry, business, CP violation, Formalism (philosophy), Physics, Lepton, Flavour, Theoretical physics, High Energy Physics - Phenomenology, High Energy Physics - Theory, Beyond Standard Model, Neutrino Physics, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
Funded by
FCT| UID/FIS/00777/2013
Project
UID/FIS/00777/2013
Centre for Thoretical Particle Physics
  • Funder: Fundação para a Ciência e a Tecnologia, I.P. (FCT)
  • Project Code: 147214
  • Funding stream: 5876
,
EC| ELUSIVES
Project
ELUSIVES
The Elusives Enterprise: Asymmetries of the Invisible Universe
  • Funder: European Commission (EC)
  • Project Code: 674896
  • Funding stream: H2020 | MSCA-ITN-ETN
,
EC| InvisiblesPlus
Project
InvisiblesPlus
InvisiblesPlus
  • Funder: European Commission (EC)
  • Project Code: 690575
  • Funding stream: H2020 | MSCA-RISE
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