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arxiv: 2604.15995 · v1 · submitted 2026-04-17 · ✦ hep-ph

Neutrino mass models

Avelino Vicente This is my paper

Pith reviewed 2026-05-10 08:33 UTC · model grok-4.3

classification ✦ hep-ph
keywords Neutrino massesMajorana neutrinosMajoronLepton number breakingGoldstone bosonPhysics beyond the Standard ModelNeutrino mass models
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The pith

Neutrino masses point to Majorana particles whose masses arise from spontaneous breaking of global lepton number, yielding a massless majoron.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper provides a brief review of theoretical models that explain the observed neutrino masses as evidence for physics beyond the Standard Model. It gives an overview of the landscape of such models before focusing on those in which neutrinos are Majorana particles. In these scenarios, global lepton number is spontaneously broken, producing a massless Goldstone boson called the majoron. The review examines the phenomenological implications of this majoron for experiments and cosmology. A sympathetic reader would care because confirming or ruling out these models could guide the search for new physics at future facilities.

Core claim

Neutrino masses indicate physics beyond the Standard Model, and constructions with spontaneous breaking of global lepton number produce a massless Goldstone boson, the majoron, with specific phenomenological implications.

What carries the argument

The majoron, defined as the massless Goldstone boson from the spontaneous breaking of global lepton number in Majorana neutrino mass models.

If this is right

  • These models predict distinctive signals from majoron emission in neutrino processes.
  • Cosmological observations can constrain or support the presence of the majoron.
  • Particle physics experiments searching for lepton number violation will test these frameworks directly.
  • The majoron affects the decay modes of neutrinos and other particles in predictable ways.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Confirmation of a majoron would strongly support the Majorana nature of neutrinos over Dirac alternatives.
  • Such models may link to mechanisms for generating the matter-antimatter asymmetry in the universe.
  • Future precision measurements of neutrino properties could distinguish majoron models from other BSM constructions without additional light bosons.

Load-bearing premise

Neutrinos are Majorana particles rather than Dirac and global lepton number is spontaneously broken instead of being conserved.

What would settle it

An experimental demonstration that neutrinos have Dirac masses without lepton number violation, or the absence of majoron-related signals in high-precision neutrino oscillation or decay experiments.

Figures

Figures reproduced from arXiv: 2604.15995 by Avelino Vicente.

Figure 1
Figure 1. Figure 1: Comparison between BR(µ → e J) and BR(µ → e γ) in the enhanced inverse seesaw model. The orange points have Yukawa couplings yN , λ ∼ O(1), while the blue points allow for Yukawa cou￾plings in the range yN , λ ∼ O(10−3 − 1). Both variants lead to an inverse seesaw mechanism and feature a majoron, due to the spontaneous breaking of U(1)L. At first sight, they may appear to be fundamentally equivalent, with … view at source ↗
read the original abstract

Neutrino masses provide one of the clearest indications of physics beyond the Standard Model. In this brief review, I discuss the main theoretical frameworks developed to account for them, with particular emphasis on scenarios in which neutrinos are Majorana particles. After a short overview of the current landscape of neutrino mass models, I focus on constructions featuring the spontaneous breaking of global lepton number and examine the phenomenological implications of a massless Goldstone boson, the majoron.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Circularity Check

0 steps flagged

Review paper with no internal derivations or predictions

full rationale

This is a brief review summarizing existing neutrino mass frameworks from the literature, with emphasis on Majorana scenarios and the standard consequences of spontaneous global lepton-number breaking. No novel constructions, equations, derivations, or predictions are advanced in the manuscript itself. The text discusses frameworks without introducing load-bearing steps that reduce to self-definition, fitted inputs, or self-citation chains. All content is presented as established literature review rather than original derivation, making the paper self-contained against external benchmarks with no circularity.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; it introduces no new free parameters, axioms, or invented entities of its own and instead surveys models from the existing literature.

pith-pipeline@v0.9.0 · 5343 in / 945 out tokens · 61712 ms · 2026-05-10T08:33:04.076156+00:00 · methodology

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Reference graph

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