Finite family groups for fermionic and leptoquark mixing patterns

Abstract We employ a bottom-up and model-independent technique to search for non-Abelian discrete flavour symmetries capable of predicting viable CKM and PMNS matrices alongside of special patterns of leptoquark couplings. In particular, we analyze patterns de- rived when an ultra-violet flavour the...

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Main Authors: Jordan Bernigaud, Ivo de Medeiros Varzielas, Jim Talbert
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)194
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author Jordan Bernigaud
Ivo de Medeiros Varzielas
Jim Talbert
author_facet Jordan Bernigaud
Ivo de Medeiros Varzielas
Jim Talbert
author_sort Jordan Bernigaud
collection DOAJ
description Abstract We employ a bottom-up and model-independent technique to search for non-Abelian discrete flavour symmetries capable of predicting viable CKM and PMNS matrices alongside of special patterns of leptoquark couplings. In particular, we analyze patterns de- rived when an ultra-violet flavour theory is assumed to break to global Abelian symmetries in Standard Model fermion masses and new Yukawa-like terms sourced by the leptoquark representation. The phenomenology of different classes of these ‘simplified models’ can be explored without reference to explicit model-building assumptions, e.g. the nature of flavour symmetry breaking or any additional field content associated to it, and are also capable of explaining hints of lepton non-universality in R K ∗ $$ {\mathcal{R}}_{K^{\left(\ast \right)}} $$ . Assuming experimentally interesting CKM and PMNS matrix elements, our algorithm finds an abundance of predictive non-Abelian flavour groups and therefore provides promising directions for future model building in the flavoured leptoquark space, regardless of whether the anomalous R K ∗ $$ {\mathcal{R}}_{K^{\left(\ast \right)}} $$ measurements withstand further experimental scrutiny.
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spelling doaj-art-5add721bbe7a44d6a4f5f00e8a8690152025-02-09T12:06:07ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020114010.1007/JHEP01(2020)194Finite family groups for fermionic and leptoquark mixing patternsJordan Bernigaud0Ivo de Medeiros Varzielas1Jim Talbert2Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAPThCFTP, Departamento de Física, Instituto Superior Técnico, Universidade de LisboaTheory Group, Deutsches Elektronen-Synchrotron (DESY)Abstract We employ a bottom-up and model-independent technique to search for non-Abelian discrete flavour symmetries capable of predicting viable CKM and PMNS matrices alongside of special patterns of leptoquark couplings. In particular, we analyze patterns de- rived when an ultra-violet flavour theory is assumed to break to global Abelian symmetries in Standard Model fermion masses and new Yukawa-like terms sourced by the leptoquark representation. The phenomenology of different classes of these ‘simplified models’ can be explored without reference to explicit model-building assumptions, e.g. the nature of flavour symmetry breaking or any additional field content associated to it, and are also capable of explaining hints of lepton non-universality in R K ∗ $$ {\mathcal{R}}_{K^{\left(\ast \right)}} $$ . Assuming experimentally interesting CKM and PMNS matrix elements, our algorithm finds an abundance of predictive non-Abelian flavour groups and therefore provides promising directions for future model building in the flavoured leptoquark space, regardless of whether the anomalous R K ∗ $$ {\mathcal{R}}_{K^{\left(\ast \right)}} $$ measurements withstand further experimental scrutiny.https://doi.org/10.1007/JHEP01(2020)194Beyond Standard ModelQuark Masses and SM ParametersFlavor physics
spellingShingle Jordan Bernigaud
Ivo de Medeiros Varzielas
Jim Talbert
Finite family groups for fermionic and leptoquark mixing patterns
Journal of High Energy Physics
Beyond Standard Model
Quark Masses and SM Parameters
Flavor physics
title Finite family groups for fermionic and leptoquark mixing patterns
title_full Finite family groups for fermionic and leptoquark mixing patterns
title_fullStr Finite family groups for fermionic and leptoquark mixing patterns
title_full_unstemmed Finite family groups for fermionic and leptoquark mixing patterns
title_short Finite family groups for fermionic and leptoquark mixing patterns
title_sort finite family groups for fermionic and leptoquark mixing patterns
topic Beyond Standard Model
Quark Masses and SM Parameters
Flavor physics
url https://doi.org/10.1007/JHEP01(2020)194
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AT ivodemedeirosvarzielas finitefamilygroupsforfermionicandleptoquarkmixingpatterns
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