Gauge vectors and double beta decay

Fonseca, Renato M.; Hirsch, Martin

doi:10.1103/physrevd.95.035033

Cited by 8 publications

(10 citation statements)

References 55 publications

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“…Note that very few 1-loop models with gauge vectors do exist in the literature, a few examples are [48][49][50]. The two main problems with gauge vectors are that: (a) For many of the vectors, which appear in the 1-loop diagrams, it is not even possible to find a phenomenologically consistent or interesting gauge group [51]; and (b) complete gauge models in many cases also contain the ingredients for a tree-level seesaw, thus loops are most likely only a sub-dominant contribution to the neutrino mass in these constructions.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, one would need to identify a group -or semisimple group [54] -which contains both, the Pati-Salam group and the SU (5), plus suitable model building to avoid proton decay and many other constraints in this extended theory. Finally, we would like to stress again, that for most of the exit vectors [33] it was shown in [51], that no suitable gauge group can be constructed at all, since they can not lead to models which contain the SM particle content.…”

Section: Discussionmentioning

confidence: 99%

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How many 1-loop neutrino mass models are there?

Arbeláez,

Cepedello,

Helo

et al. 2022

Preprint

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It is well-known that at tree-level the d=5 Weinberg operator can be generated in exactly three different ways, the famous seesaw models. In this paper we study the related question of how many phenomenologically consistent 1-loop models one can construct at d=5. First, we discuss that there are two possible classes of 1-loop neutrino mass models, that allow avoiding stable charged relics: (i) Models with dark matter candidates and (ii) models with "exits". Here, we define "exits" as particles that can decay into standard model fields. Considering 1-loop models with new scalars and fermions, we find in the dark matter class a total of (113+205) models, while in the exit class we find (38+368) models. Here, 113 is the number of DM models, which require a stabilizing symmetry, while 205 is the number of models which contain a dark matter candidate, which maybe accidentally stable. In the exit class the 38 refers to models, for which one (or two) of the internal particles in the loop is a SM field, while the 368 models contain only fields beyond the SM (BSM) in the neutrino mass diagram. We then study the RGE evolution of the gauge couplings in all our 1-loop models. Many of the models in our list lead to Landau poles in some gauge coupling at rather low energies and there is exactly one model which unifies the gauge couplings at energies above 10 15 GeV in a numerically acceptable way.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

How many 1-loop neutrino mass models are there?

Arbeláez,

Cepedello,

Helo

et al. 2022

Preprint

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“…We have focused mainly on the generation of acceptable neutrino masses (and mixing angles), having mentioned lepton number violating processes, such as neutrinoless double beta decay, only in passing when it was most relevant. Elsewhere [81], we shall provide a more detailed analysis of this process, both in 331 models as well as in other models with an extended gauge groups.…”

Section: Discussionmentioning

confidence: 99%

Lepton number violation in 331 models

Fonseca

Hirsch

2016

Phys. Rev. D

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Different models based on the extended SU (3)C × SU (3)L × U (1)X (331) gauge group have been proposed over the past four decades. Yet, despite being an active research topic, the status of lepton number in 331 models has not been fully addressed in the literature, and furthermore many of the original proposals can not explain the observed neutrino masses. In this paper we review the basic features of various 331 models, focusing on potential sources of lepton number violation. We then describe different modifications which can be made to the original models in order to accommodate neutrino (and charged lepton) masses.

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“…On the other hand, the simple exercise of picking pairs of right-and left-handed Standard Model fermions yields a list of quantum numbers for vectors fields which would have interesting phenomenology consequences [1,23,24]. However, just a few of them have been incorporated into fully-fledged models, mostly because of the above difficulty.…”

Section: Most Research On Extensions Of the Standard Model Groupmentioning

confidence: 99%

A triplet gauge boson with hypercharge one

Fonseca¹

2022

Preprint

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A vector boson W µ 1 with the quantum numbers (3, 1) under SU (2) L × U (1) Y could in principle couple with the Higgs field via the renormalizable term W µ * 1 HD µ H. This interaction is known to affect the T parameter and, in so doing, it could potentially explain the recent CDF measurement of the W-boson mass.As it is often the case with vectors, building a viable model with a W 1 gauge boson is non-trivial. In this work I will describe two variations of a minimal setup containing this field; they are based on an extended SO(5) × SU (2) × U (1) electroweak group. I will nevertheless show that interactions such as W µ *1 H∂ µ H are never generated in a Yang-Mills theory. A coupling between W 1 , H and another Higgs doublet H ′ is possible though.Finally, I will provide an explicit recipe for the construction of viable models with gauge bosons in arbitrary representations of the Standard Model group; depending on the quantum numbers, they may couple to pairs of Standard Model fermions, or to a Standard Model fermion and an exotic one.

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Gauge vectors and double beta decay

Cited by 8 publications

References 55 publications

How many 1-loop neutrino mass models are there?

How many 1-loop neutrino mass models are there?

Lepton number violation in 331 models

A triplet gauge boson with hypercharge one

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