Simplest radiative Dirac neutrino mass models

If neutrinos are Dirac particles, their right-handed partners must be present in the theory. Once introduced in the Standard Model (SM), the difference between the baryon number B and the lepton number L can be promoted to a local U(1)B−L symmetry since the corresponding gauge anomalies can be cance...

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Main Author: Shaikh Saad
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319301221
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author Shaikh Saad
author_facet Shaikh Saad
author_sort Shaikh Saad
collection DOAJ
description If neutrinos are Dirac particles, their right-handed partners must be present in the theory. Once introduced in the Standard Model (SM), the difference between the baryon number B and the lepton number L can be promoted to a local U(1)B−L symmetry since the corresponding gauge anomalies can be canceled by the right-handed neutrinos. Furthermore, the extremely small neutrino mass can be explained naturally if it is originated from the quantum correction. In this work, we propose simplest models of radiative Dirac neutrino mass using only U(1)B−L symmetry, and without introducing additional fermions and without imposing ad hoc symmetries. In this simple framework, we provide minimal models where Dirac neutrino mass appears at the (i) one-loop, (ii) two-loop and (iii) three-loop. By performing systematic analysis, we show that the minimal one-loop model requires three beyond SM scalar multiplets, whereas minimal two-loop and three-loop models require five. The presented two-loop and three-loop Dirac mass models have not appeared in the literature before.
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spelling doaj.art-6b356bb94c954b348653a6f5b4125dcc2022-12-22T00:55:19ZengElsevierNuclear Physics B0550-32132019-06-01943Simplest radiative Dirac neutrino mass modelsShaikh Saad0Department of Physics, Oklahoma State University, Stillwater, OK 74078, USAIf neutrinos are Dirac particles, their right-handed partners must be present in the theory. Once introduced in the Standard Model (SM), the difference between the baryon number B and the lepton number L can be promoted to a local U(1)B−L symmetry since the corresponding gauge anomalies can be canceled by the right-handed neutrinos. Furthermore, the extremely small neutrino mass can be explained naturally if it is originated from the quantum correction. In this work, we propose simplest models of radiative Dirac neutrino mass using only U(1)B−L symmetry, and without introducing additional fermions and without imposing ad hoc symmetries. In this simple framework, we provide minimal models where Dirac neutrino mass appears at the (i) one-loop, (ii) two-loop and (iii) three-loop. By performing systematic analysis, we show that the minimal one-loop model requires three beyond SM scalar multiplets, whereas minimal two-loop and three-loop models require five. The presented two-loop and three-loop Dirac mass models have not appeared in the literature before.http://www.sciencedirect.com/science/article/pii/S0550321319301221
spellingShingle Shaikh Saad
Simplest radiative Dirac neutrino mass models
Nuclear Physics B
title Simplest radiative Dirac neutrino mass models
title_full Simplest radiative Dirac neutrino mass models
title_fullStr Simplest radiative Dirac neutrino mass models
title_full_unstemmed Simplest radiative Dirac neutrino mass models
title_short Simplest radiative Dirac neutrino mass models
title_sort simplest radiative dirac neutrino mass models
url http://www.sciencedirect.com/science/article/pii/S0550321319301221
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