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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2023-03-01
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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. |
first_indexed | 2024-04-09T15:06:58Z |
format | Article |
id | doaj.art-00e842f6bdf34fa398fb748a9a289583 |
institution | Directory Open Access Journal |
issn | 1434-6052 |
language | English |
last_indexed | 2024-04-09T15:06:58Z |
publishDate | 2023-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |