Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers

Abstract There is no reason why the gauge symmetry extension is family universal as in the standard model and the most well-motivated models, e.g. left-right symmetry and grand unification. Hence, we propose a simplest extension of the standard model – a flavor-dependent U(1) gauge symmetry – and fi...

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Main Authors: Duong Van Loi, Phung Van Dong
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12198-z
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author Duong Van Loi
Phung Van Dong
author_facet Duong Van Loi
Phung Van Dong
author_sort Duong Van Loi
collection DOAJ
description Abstract There is no reason why the gauge symmetry extension is family universal as in the standard model and the most well-motivated models, e.g. left-right symmetry and grand unification. Hence, we propose a simplest extension of the standard model – a flavor-dependent U(1) gauge symmetry – and find the new physics insight. For this aim, the U(1) charge, called X, is expressed as $$X=x B+y L$$ X = x B + y L in which x and y are free parameters as functions of flavor index, e.g. for a flavor i they take $$x_i$$ x i and $$y_i$$ y i respectively, where B and L denote normal baryon and lepton numbers. Imposing a relation involved by the color number 3, i.e. $$-x_{1,2,\ldots ,n}=x_{n+1,n+2,\ldots ,n+m}=3y_{1,2,\ldots ,n+m}\equiv 3z$$ - x 1 , 2 , … , n = x n + 1 , n + 2 , … , n + m = 3 y 1 , 2 , … , n + m ≡ 3 z , for arbitrarily nonzero z, we achieve a novel U(1) theory with implied X-charge. This theory not only explains the origin of the number of observed fermion families but also offers a possible solution for both neutrino mass and dark matter, which differs from $$B-L$$ B - L extension. Two typical models based on this idea are examined, yielding interesting results for flavor-changing neutral currents and particle colliders, besides those of neutrino mass and dark matter.
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spelling doaj.art-739f76cec96e4531bd74c37cbd862d912024-03-31T11:30:59ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-11-01831111810.1140/epjc/s10052-023-12198-zFlavor-dependent U(1) extension inspired by lepton, baryon and color numbersDuong Van Loi0Phung Van Dong1Phenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa UniversityPhenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa UniversityAbstract There is no reason why the gauge symmetry extension is family universal as in the standard model and the most well-motivated models, e.g. left-right symmetry and grand unification. Hence, we propose a simplest extension of the standard model – a flavor-dependent U(1) gauge symmetry – and find the new physics insight. For this aim, the U(1) charge, called X, is expressed as $$X=x B+y L$$ X = x B + y L in which x and y are free parameters as functions of flavor index, e.g. for a flavor i they take $$x_i$$ x i and $$y_i$$ y i respectively, where B and L denote normal baryon and lepton numbers. Imposing a relation involved by the color number 3, i.e. $$-x_{1,2,\ldots ,n}=x_{n+1,n+2,\ldots ,n+m}=3y_{1,2,\ldots ,n+m}\equiv 3z$$ - x 1 , 2 , … , n = x n + 1 , n + 2 , … , n + m = 3 y 1 , 2 , … , n + m ≡ 3 z , for arbitrarily nonzero z, we achieve a novel U(1) theory with implied X-charge. This theory not only explains the origin of the number of observed fermion families but also offers a possible solution for both neutrino mass and dark matter, which differs from $$B-L$$ B - L extension. Two typical models based on this idea are examined, yielding interesting results for flavor-changing neutral currents and particle colliders, besides those of neutrino mass and dark matter.https://doi.org/10.1140/epjc/s10052-023-12198-z
spellingShingle Duong Van Loi
Phung Van Dong
Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
European Physical Journal C: Particles and Fields
title Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
title_full Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
title_fullStr Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
title_full_unstemmed Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
title_short Flavor-dependent U(1) extension inspired by lepton, baryon and color numbers
title_sort flavor dependent u 1 extension inspired by lepton baryon and color numbers
url https://doi.org/10.1140/epjc/s10052-023-12198-z
work_keys_str_mv AT duongvanloi flavordependentu1extensioninspiredbyleptonbaryonandcolornumbers
AT phungvandong flavordependentu1extensioninspiredbyleptonbaryonandcolornumbers