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Physics Letters B 800 (2020) 135135

Contents lists available at ScienceDirect

Physics Letters B

www.elsevier.com/locate/physletb

A cosmologically viable eV sterile neutrino model

C.A. de S. Pires

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil

a r t i c l e i n f o a b s t r a c t

Article history:

Received

14 October 2019

Received

in revised form 21 November 2019

Accepted

28 November 2019

Available

online 4 December 2019

Editor:

A. Ringwald

The MiniBooNE collaboration recently released a report claiming have observed an excess of electron

and anti-electron neutrino with signiﬁcance of 4.8 σ C.L. corroborating, in this way, the long-standing

LSND anomaly. Combined LSND and MiniBooNE analysis reach a signiﬁcance of 6.0 σ C.L. Such a result,

if conﬁrmed by future experiments, will cause considerable impact on particle physics since that such

anomalies, when interpreted in terms of neutrino oscillation, require the existence of at least one

light sterile neutrino. It happens that, on according to standard scenarios, such light sterile neutrino

is incompatible with current cosmological data. In this way, understand these anomalies requires an

extension of the standard model capable of generating tiny masses for both active and sterile neutrinos

and re-conciliates such a result with cosmology. An interesting proposal in this direction involves the

existence of a secret sector interacting exclusively with sterile neutrinos. In this work we implement the

canonical seesaw mechanism into the standard model in such a way that generates tiny masses to the

active and sterile neutrinos and embody a secret sector capable of re-conciliating eV sterile neutrinos

with cosmology. As other gains, the scalar content required by the implementation of the mechanism

provides contribution to rare lepton decays, may accommodate the g − 2of the muon and poses a

scalar singlet that may drive inﬂation through Higgs inﬂation mechanism without problem with loss

of unitarity.

(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP

1. Introduction

The physics of neutrinos keep being the most active and fas-

cinating

branch of particle physics. This is so because we are far

from a ﬁnal understanding of the origin of neutrino masses and

mixing. For example, neutrino anomalies are hinting by the exis-

tence

of at least one sterile neutrino (or right-handed neutrino)

with mass at eV scale and largely mixed with the standard neu-

trinos

[1–4]. It happens that, according to standard scenarios, eV

sterile neutrinos are strongly disfavored by current cosmological

data [5–7]. In view of this, we think that, if future short-baseline

experiments conﬁrm the existence of eV sterile neutrinos [8,9], we,

then, have to ﬁnd a new road to understand the origin of neutrino

mass and mixing. This is so because heavy right-handed neutrinos

provide the best way for understanding the origin of the smallness

of the standard neutrino masses by means of the canonical type

I seesaw mechanism [10]. So if right-handed neutrinos are con-

ﬁrmed

to be light, we are forced to re-interpret the canonical type

I seesaw mechanism.

E-mail address: cpires@ﬁsica.ufpb.br.

On the other hand, if we insist in the explanation of the SBL

anomalies in terms of neutrino oscillation, we have to re-conciliate

light right-handed neutrinos with cosmology. It has being recently

proposed that such re-conciliation requires the existence of a se-

cret

sector involving very light degree of freedom in the form

of vector boson or pseudo-scalar interacting exclusively with the

sterile neutrinos [11,12]. The case of pseudo-scalar is particularly

interesting because, as discussed here, such degree of freedom may

be the remnant of an accidental global symmetry that is explicitly

violated at very low energy scale.

Recapitulating.

On one hand, the canonical seesaw mechanism,

as we understand it, requires that right-handed neutrinos be heavy

particles and that lepton number be violated at very high energy

scale. On the other hand, the state of the art in neutrino physics

(taking into account neutrino anomalies) may be pointing to the

contrary: light right-handed neutrinos with lepton number being

explicitly violated at very low energy scale.

this work we propose an extension of the standard model

which embody the canonical type I seesaw mechanism in such a

way that lead to light active and sterile neutrinos and contains a

pseudo-scalar carrying the features necessary to re-conciliate SBL

anomalies with cosmology. Our model is constrained by rare lepton

decay and gives contribution to the g − 2of the muon. As gain,

https://doi.org/10.1016/j.physletb.2019.135135

0370-2693/

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