Abelian charge inspired by family number

Phung Van Dong; Tran Ngoc Hung; Duong Van Loi

doi:10.1140/epjc/s10052-023-11365-6

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 199
https://doi.org/10.1140/epjc/s10052-023-11365-6

Regular Article - Theoretical Physics

Abelian charge inspired by family number

Phung Van Dong^a, Tran Ngoc Hung and Duong Van Loi

Phenikaa Institute for Advanced Study and Faculty of Basic Science, Phenikaa University, Yen Nghia, Ha Dong, 100000, Hanoi, Vietnam

^a dong.phungvan@phenikaa-uni.edu.vn

Received: 27 December 2022
Accepted: 26 February 2023
Published online: 7 March 2023

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 ${[S U {(2)}_{L}]}^{2} U {(1)}_{A}$ $$[SU(2)_L]^2U(1)_A$$ 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.

© The Author(s) 2023

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