Abstract

We present singlet-Majoron couplings to Standard Model particles through two loops at leading order in the seesaw expansion, including couplings to gauge bosons as well as flavor-changing quark interactions. We discuss and compare the relevant phenomenological constraints on Majoron production as well as decaying Majoron dark matter. A comparison with standard seesaw observables in low-scale settings highlights the importance of searches for lepton-flavor-violating two-body decays $\ell \to \ell' +$Majoron in both the muon and tau sectors.

Highlights

  • The Standard Model (SM) has emerged as an incredibly accurate description of our world at the particle level

  • Renormalizable models could have a dynamical origin for ΔL 1⁄4 2 via spontaneous breaking of the global Uð1ÞL symmetry. This leads to the same Weinberg operator and Majorana neutrino masses, but as a result of the spontaneous breaking of a continuous global symmetry a Goldstone boson appears in the spectrum

  • It is commonplace to see these amplitudes interpreted as effective couplings as they appear to match onto effective field theory (EFT) operators of the form [49]

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Summary

INTRODUCTION

The Standard Model (SM) has emerged as an incredibly accurate description of our world at the particle level. Argue that the established observation of nonzero neutrino masses is a sign for physics beyond the SM and for possible lepton number violation by two units This argument is based on an interpretation of the SM as an effective field theory (EFT) and the observation that the leading non-renormalizable operator is Weinberg’s dimension-five operator ðL HÞ2=Λ [1]. This leads to the same Weinberg operator and Majorana neutrino masses, but as a result of the spontaneous breaking of a continuous global symmetry a Goldstone boson appears in the spectrum This pseudoscalar Goldstone boson of the lepton number symmetry was proposed a long time ago and was dubbed the Majoron [3,4].

MAJORON COUPLINGS AT TREE LEVEL AND ONE LOOP
Ãαj : ð4Þ
Neutrino couplings
Charged fermion couplings
Couplings to gauge bosons
MAJORON COUPLINGS AT TWO LOOPS
Coupling to two gluons
Coupling to two photons
Coupling to Z and photon
Coupling to two Z bosons
N m2f ðT
Coupling to two W bosons
Coupling to γ-Higgs and Z-Higgs
Flavor changing quark couplings
Light Majorons
Comparison with seesaw observables
Majoron dark matter
CONCLUSION
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