Saved in:
Bibliographic Details
Main Author: Besnard, Fabien
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1911.01100
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866909226156163072
author Besnard, Fabien
author_facet Besnard, Fabien
contents We derive a $U(1)_{B-L}$-extension of the Standard Model from a generalized Connes-Lott model with algebra ${\mathbb C}\oplus{\mathbb C}\oplus {\mathbb H}\oplus M_3({\mathbb C})$. This generalization includes the Lorentzian signature, the presence of a real structure, and a weakening of the order $1$ condition. In addition to the SM fields, the model contains a $Z_{B-L}'$ boson and a complex scalar field $σ$ which spontaneously breaks the new symmetry. This model is the smallest one which contains the SM fields and is compatible with both the Connes-Lott theory and the algebraic background framework.
format Preprint
id arxiv_https___arxiv_org_abs_1911_01100
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle A $U(1)_{B-L}$-extension of the Standard Model from Noncommutative Geometry
Besnard, Fabien
High Energy Physics - Theory
58B34
We derive a $U(1)_{B-L}$-extension of the Standard Model from a generalized Connes-Lott model with algebra ${\mathbb C}\oplus{\mathbb C}\oplus {\mathbb H}\oplus M_3({\mathbb C})$. This generalization includes the Lorentzian signature, the presence of a real structure, and a weakening of the order $1$ condition. In addition to the SM fields, the model contains a $Z_{B-L}'$ boson and a complex scalar field $σ$ which spontaneously breaks the new symmetry. This model is the smallest one which contains the SM fields and is compatible with both the Connes-Lott theory and the algebraic background framework.
title A $U(1)_{B-L}$-extension of the Standard Model from Noncommutative Geometry
topic High Energy Physics - Theory
58B34
url https://arxiv.org/abs/1911.01100