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The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model

Both Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when buildin...

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Detalles Bibliográficos
Autores principales: de Adelhart Toorop, Reinier, Bazzocchi, Federica, Merlo, Luca
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP08(2010)001
http://cds.cern.ch/record/1255124
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author de Adelhart Toorop, Reinier
Bazzocchi, Federica
Merlo, Luca
author_facet de Adelhart Toorop, Reinier
Bazzocchi, Federica
Merlo, Luca
author_sort de Adelhart Toorop, Reinier
collection CERN
description Both Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when building models that possess both symmetries. We investigate on the possibility to combine a Pati-Salam model with the discrete flavour symmetry $S_4$ that gives rise to quark-lepton complementarity. Under appropriate assumptions at the GUT scale, the model reproduces fermion masses and mixings both in the quark and in the lepton sectors. We show that in particular the Higgs sector and the running Yukawa couplings are strongly affected by the combined constraints of the Grand Unified and family symmetries. This in turn reduces the phenomenologically viable parameter space, with high energy mass scales confined to a small region and some parameters in the neutrino sector slightly unnatural. In the allowed regions, we can reproduce the quark masses and the CKM matrix. In the lepton sector, we reproduce the charged lepton masses, including bottom-tau unification and the Georgi-Jarlskog relation as well as the two known angles of the PMNS matrix. The neutrino mass spectrum can present a normal or an inverse hierarchy, and only allowing the neutrino parameters to spread into a range of values between $\lambda^{-2}$ and $\lambda^2$, with $\lambda\simeq0.2$. Finally, our model suggests that the reactor mixing angle is close to its current experimental bound.
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spelling cern-12551242019-09-30T06:29:59Zdoi:10.1007/JHEP08(2010)001http://cds.cern.ch/record/1255124engde Adelhart Toorop, ReinierBazzocchi, FedericaMerlo, LucaThe Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 ModelParticle Physics - PhenomenologyBoth Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when building models that possess both symmetries. We investigate on the possibility to combine a Pati-Salam model with the discrete flavour symmetry $S_4$ that gives rise to quark-lepton complementarity. Under appropriate assumptions at the GUT scale, the model reproduces fermion masses and mixings both in the quark and in the lepton sectors. We show that in particular the Higgs sector and the running Yukawa couplings are strongly affected by the combined constraints of the Grand Unified and family symmetries. This in turn reduces the phenomenologically viable parameter space, with high energy mass scales confined to a small region and some parameters in the neutrino sector slightly unnatural. In the allowed regions, we can reproduce the quark masses and the CKM matrix. In the lepton sector, we reproduce the charged lepton masses, including bottom-tau unification and the Georgi-Jarlskog relation as well as the two known angles of the PMNS matrix. The neutrino mass spectrum can present a normal or an inverse hierarchy, and only allowing the neutrino parameters to spread into a range of values between $\lambda^{-2}$ and $\lambda^2$, with $\lambda\simeq0.2$. Finally, our model suggests that the reactor mixing angle is close to its current experimental bound.arXiv:1003.4502NIKHEF 2010-007DFPD-09-TH-24CERN-PH-TH-2010-025oai:cds.cern.ch:12551242010-03-24
spellingShingle Particle Physics - Phenomenology
de Adelhart Toorop, Reinier
Bazzocchi, Federica
Merlo, Luca
The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title_full The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title_fullStr The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title_full_unstemmed The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title_short The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model
title_sort interplay between gut and flavour symmetries in a pati-salam x s4 model
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/JHEP08(2010)001
http://cds.cern.ch/record/1255124
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