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arxiv: 2605.20336 · v1 · pith:JSOJVPQUnew · submitted 2026-05-19 · ✦ hep-ph

Gauged Flavour for Asymmetric Dark Matter

Mattias Blennow , Enrique Fernandez-Martinez , David Garcia-Garcia , Javier M. Lizana This is my paper

Pith reviewed 2026-05-21 00:59 UTC · model grok-4.3

classification ✦ hep-ph
keywords gauged flavour symmetryasymmetric dark matterleptogenesisSO(3) flavourmirror fermionsflavour sphaleronsconfining SU(3)flavour hierarchies
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The pith

A gauged SO(3) flavour symmetry links the origins of Standard Model fermion mass hierarchies and asymmetric dark matter via leptogenesis and sphalerons.

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

The paper proposes a model in which a single gauged SO(3) flavour symmetry acts on both visible and dark sectors. Spontaneous breaking of this symmetry produces the observed hierarchies among fermion masses. Decays of right-handed neutrinos generate a lepton asymmetry that electroweak and flavour sphalerons redistribute into baryon and dark matter asymmetries. Dark matter emerges as bound states of a confining SU(3) group, offering a reason for the similar mass scales of ordinary and dark matter. Anomaly cancellation introduces mirror fermions that suppress new-physics effects in lighter generations through a seesaw-like mechanism, resulting in a predictive framework tested mainly by meson oscillations and collider searches.

Core claim

A gauged SO(3) flavour symmetry acting simultaneously on visible and dark sectors has its spontaneous breaking generate Standard Model fermion mass hierarchies while right-handed neutrino decays produce a lepton asymmetry that is converted by electroweak and flavour sphalerons into correlated baryon and dark matter asymmetries, with dark matter appearing as baryon-like states of a confining SU(3).

What carries the argument

Gauged SO(3) flavour symmetry whose spontaneous breaking sets fermion masses and whose associated sphalerons redistribute lepton asymmetry into dark matter asymmetry, together with a confining SU(3) that forms dark matter bound states.

If this is right

  • Visible and dark matter mass scales are linked by the shared flavour symmetry and confining dynamics.
  • K meson oscillations constrain the highest flavour-breaking scale while B_s observables constrain the intermediate scale.
  • The lowest scale may bring some mirror fermions within reach of future colliders and is already tested by flavour-violating B_s decays and electroweak precision data.
  • Flavour interactions must be sufficiently strong to ensure rapid decay of any symmetric dark matter component.

Where Pith is reading between the lines

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

  • Flavour violation searches could indirectly limit the parameter space of dark matter production mechanisms.
  • The same symmetry structure might be used to address neutrino mass generation in a unified way.
  • Similar gauged flavour models could be constructed for other dark sector gauge groups.

Load-bearing premise

Anomaly cancellation requires mirror fermions that produce a seesaw-like suppression so that different flavour-breaking scales can be probed by separate observables without violating existing data.

What would settle it

Absence of the predicted deviations in K or B_s meson oscillations at the highest and intermediate scales, or non-observation of mirror fermions and flavour-violating B_s decays at the lowest scale.

Figures

Figures reproduced from arXiv: 2605.20336 by David Garcia-Garcia, Enrique Fernandez-Martinez, Javier M. Lizana, Mattias Blennow.

Figure 1
Figure 1. Figure 1: Relevant contributions from the flavour gauge bosons to four-quark operators affecting [PITH_FULL_IMAGE:figures/full_fig_p010_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Compilation of the bounds on the three scalar VEVs [PITH_FULL_IMAGE:figures/full_fig_p016_2.png] view at source ↗
read the original abstract

We propose a framework that links the origin of the Standard Model flavour hierarchies to the generation of asymmetric dark matter via leptogenesis. The key new ingredient is a gauged $SO(3)$ flavour symmetry acting on both the visible and dark sectors, whose spontaneous breaking generates fermion mass hierarchies. Right-handed neutrino decays produce a primordial lepton asymmetry, which is redistributed into baryon and dark matter asymmetries by electroweak and flavour sphalerons respectively. Dark matter arises as baryon-like bound states of a confining $SU(3)$, providing a natural rationale for the similar mass scales of visible and dark matter. We analyze flavour, collider, electroweak, and cosmological constraints. Anomaly cancellation requires the presence of mirror fermions, inducing a seesaw-like suppression of new physics effects in the lighter generations, such that different observables are sensitive to different flavour-breaking scales. Meson oscillations provide the dominant constraints, with $K$ and $B_s$ observables constraining the highest and intermediate scales, while the lowest scale may place some mirror fermions potentially within reach of future collider searches and is currently probed by flavour violating $B_s$ decays and electroweak observables. Flavour interactions are also bounded from below by the requirement of a sufficiently fast decay of the symmetric dark matter component, leading to a tightly constrained and predictive scenario testable through several complementary probes.

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.

Referee Report

1 major / 2 minor

Summary. The manuscript proposes a framework linking Standard Model flavour hierarchies to asymmetric dark matter via leptogenesis. A gauged SO(3) flavour symmetry acts on both visible and dark sectors; its spontaneous breaking generates fermion masses. Right-handed neutrino decays produce a lepton asymmetry redistributed by electroweak and flavour sphalerons into baryon and dark-matter asymmetries. Dark matter consists of baryon-like bound states of a confining SU(3). Anomaly cancellation requires mirror fermions that induce seesaw-like suppression, allowing different observables to probe different flavour-breaking scales. The authors analyze constraints from flavour physics, colliders, electroweak precision tests, and cosmology, claiming that flavour interactions are bounded from below by the need for rapid symmetric DM decay before BBN, resulting in a tightly constrained, predictive scenario.

Significance. If the scale choices prove consistent, the work provides a concrete link between the flavour problem and the origin of asymmetric dark matter, naturally explaining the comparable visible and dark matter densities. The framework yields testable predictions across meson oscillations, flavour-violating decays, electroweak observables, and collider searches for mirror fermions. The use of gauged flavour symmetry and sphaleron redistribution offers a falsifiable alternative to unrelated mechanisms for baryogenesis and dark matter.

major comments (1)
  1. [Abstract and constraints analysis] The central claim that the three flavour-breaking scales can be chosen to simultaneously (i) reproduce the observed fermion mass hierarchies, (ii) permit flavour sphalerons to redistribute the lepton asymmetry into the dark sector, and (iii) satisfy the cosmological lower bound from symmetric DM decay before BBN while respecting upper bounds from K and B_s meson mixing is load-bearing. The abstract states that meson oscillations provide the dominant constraints with K and B_s observables constraining the highest and intermediate scales, yet no explicit demonstration is given that a viable window exists once the seesaw suppression from mirror fermions and the requirement of sufficiently strong flavour interactions for DM decay are imposed together.
minor comments (2)
  1. [Abstract] The abstract refers to 'mirror fermions' and their seesaw-like suppression without a brief parenthetical explanation of how anomaly cancellation is achieved; adding one sentence would aid readers unfamiliar with the construction.
  2. [Constraints discussion] Notation for the three distinct flavour-breaking scales is introduced but not consistently labeled (e.g., as v1, v2, v3 or similar) when discussing which scale controls which observable; a short table or explicit mapping would improve clarity.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We address the major comment below and have revised the manuscript to provide the requested explicit demonstration of the viable parameter space.

read point-by-point responses

  1. Referee: [Abstract and constraints analysis] The central claim that the three flavour-breaking scales can be chosen to simultaneously (i) reproduce the observed fermion mass hierarchies, (ii) permit flavour sphalerons to redistribute the lepton asymmetry into the dark sector, and (iii) satisfy the cosmological lower bound from symmetric DM decay before BBN while respecting upper bounds from K and B_s meson mixing is load-bearing. The abstract states that meson oscillations provide the dominant constraints with K and B_s observables constraining the highest and intermediate scales, yet no explicit demonstration is given that a viable window exists once the seesaw suppression from mirror fermions and the requirement of sufficiently strong flavour interactions for DM decay are imposed together.

    Authors: We thank the referee for highlighting this important point. While the original manuscript discusses the individual constraints from meson mixing, electroweak precision, colliders, and cosmology, and notes that the seesaw suppression from mirror fermions allows different observables to probe different scales, we agree that an explicit combined demonstration of a viable window strengthens the central claim. In the revised manuscript we have added a new subsection that performs a joint analysis: we scan over the three flavour-breaking scales, incorporating the seesaw factors for lighter generations, the conditions for flavour sphalerons to redistribute the asymmetry, the lower bound on flavour interaction strength from symmetric DM decay before BBN, and the upper bounds from K and B_s mixing. This scan confirms the existence of a non-empty parameter region satisfying all requirements simultaneously. We have also updated the abstract to reference this explicit check. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation chain is self-contained

full rationale

The paper constructs a model with gauged SO(3) flavour symmetry whose spontaneous breaking generates fermion mass hierarchies and enables asymmetry redistribution via sphalerons and leptogenesis, with DM as SU(3) bound states. These steps follow directly from the stated gauge structure, anomaly cancellation requiring mirror fermions, and standard sphaleron dynamics without any quoted reduction of a prediction to a fitted input or self-citation chain. Meson-mixing constraints and the lower bound on flavour interactions from symmetric DM decay are presented as external bounds rather than inputs that force the central results by construction. The framework therefore remains independent of its own outputs.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 3 invented entities

The framework rests on the existence of a gauged SO(3) symmetry, spontaneous breaking at multiple scales, right-handed neutrinos, electroweak and flavour sphalerons, a confining SU(3) for DM, and mirror fermions required by anomaly cancellation. No explicit free parameters are listed in the abstract, but the three flavour-breaking scales are implicitly adjusted to satisfy constraints.

free parameters (1)
  • flavour breaking scales
    Multiple scales (highest, intermediate, lowest) are introduced to separate constraints from K, Bs, and collider observables; their values are chosen to satisfy meson oscillation bounds and other limits.
axioms (2)
  • domain assumption Anomaly cancellation requires mirror fermions with seesaw-like suppression in lighter generations.
    Invoked to allow different observables to probe different scales without immediate conflict with data.
  • domain assumption Flavour sphalerons redistribute the lepton asymmetry into dark matter asymmetry.
    Central to linking leptogenesis to asymmetric DM.
invented entities (3)
  • Gauged SO(3) flavour symmetry acting on dark sector no independent evidence
    purpose: Generates fermion mass hierarchies and enables flavour sphalerons for DM asymmetry.
    New symmetry postulated to act on both sectors.
  • Confining SU(3) for dark matter bound states no independent evidence
    purpose: Provides baryon-like DM with similar mass scale to visible matter.
    Postulated new strong sector for composite DM.
  • Mirror fermions no independent evidence
    purpose: Cancel anomalies and induce seesaw suppression.
    Required for consistency of the gauged symmetry.

pith-pipeline@v0.9.0 · 5776 in / 1889 out tokens · 26281 ms · 2026-05-21T00:59:38.931785+00:00 · methodology

discussion (0)

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