Abelian charge inspired by family number

Abstract Quark has an electric charge either $$-1/3$$ - 1 / 3 or 2/3 and a baryon number 1/3, where the divisions 3’s match the color number. Although the electric charge and the baryon number have a nature distinct from the color charge, the matching is necessary for the standard model or a relevan...

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Main Authors: Phung Van Dong, Tran Ngoc Hung, Duong Van Loi
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11365-6
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author Phung Van Dong
Tran Ngoc Hung
Duong Van Loi
author_facet Phung Van Dong
Tran Ngoc Hung
Duong Van Loi
author_sort Phung Van Dong
collection DOAJ
description Abstract Quark has an electric charge either $$-1/3$$ - 1 / 3 or 2/3 and a baryon number 1/3, where the divisions 3’s match the color number. Although the electric charge and the baryon number have a nature distinct from the color charge, the matching is necessary for the standard model or a relevant $$B-L$$ B - L extension consistent at quantum level, since the relevant anomaly $$[SU(2)_L]^2U(1)_A$$ [ S U ( 2 ) L ] 2 U ( 1 ) A for $$A=Y$$ A = Y or $$B-L$$ B - L must vanish. If elementary particles have a new U(1) charge differently from A, such anomaly is not cancelled for each family. However, if we demand that the anomaly is cancelled over all families, this relates the color number to the family number instead of the electric charge and baryon number, and interestingly the family number guides us to a novel U(1) theory. We will discuss the implication of this theory for neutrino mass, recent W-boson mass anomaly, FCNC, and particle colliders.
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spelling doaj.art-00e842f6bdf34fa398fb748a9a2895832023-04-30T11:25:51ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-03-0183311010.1140/epjc/s10052-023-11365-6Abelian charge inspired by family numberPhung Van Dong0Tran Ngoc Hung1Duong Van Loi2Phenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa UniversityPhenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa UniversityPhenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa UniversityAbstract Quark has an electric charge either $$-1/3$$ - 1 / 3 or 2/3 and a baryon number 1/3, where the divisions 3’s match the color number. Although the electric charge and the baryon number have a nature distinct from the color charge, the matching is necessary for the standard model or a relevant $$B-L$$ B - L extension consistent at quantum level, since the relevant anomaly $$[SU(2)_L]^2U(1)_A$$ [ S U ( 2 ) L ] 2 U ( 1 ) A for $$A=Y$$ A = Y or $$B-L$$ B - L must vanish. If elementary particles have a new U(1) charge differently from A, such anomaly is not cancelled for each family. However, if we demand that the anomaly is cancelled over all families, this relates the color number to the family number instead of the electric charge and baryon number, and interestingly the family number guides us to a novel U(1) theory. We will discuss the implication of this theory for neutrino mass, recent W-boson mass anomaly, FCNC, and particle colliders.https://doi.org/10.1140/epjc/s10052-023-11365-6
spellingShingle Phung Van Dong
Tran Ngoc Hung
Duong Van Loi
Abelian charge inspired by family number
European Physical Journal C: Particles and Fields
title Abelian charge inspired by family number
title_full Abelian charge inspired by family number
title_fullStr Abelian charge inspired by family number
title_full_unstemmed Abelian charge inspired by family number
title_short Abelian charge inspired by family number
title_sort abelian charge inspired by family number
url https://doi.org/10.1140/epjc/s10052-023-11365-6
work_keys_str_mv AT phungvandong abelianchargeinspiredbyfamilynumber
AT tranngochung abelianchargeinspiredbyfamilynumber
AT duongvanloi abelianchargeinspiredbyfamilynumber