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Non-resonant Flavoured leptogenesis with aligned two-Higgs doublet model and right-handed neutrinos

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Km Pranjali, Indrani Chakraborty

High Energy Physics - Phenomenology · Submitted 9 Oct 2026 · 59 references

Pith's verdict: Technically sound consistency check for flavoured leptogenesis in the A2HDM, but the central alignment assumption is ad hoc and load-bearing.

T0 · AI review

How this review was made: An AI referee (deepseek/deepseek-v4-flash) read the paper on October 12, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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arXiv ID2610.13231 (version 1)
Pith IDMJASFOLU, Pith's permanent record of this paper and its review
CitationIndrani Chakraborty, Km Pranjali. "Non-resonant Flavoured leptogenesis with aligned two-Higgs doublet model and right-handed neutrinos." arXiv:2610.13231 (2026). https://pith.science/paper/MJASFOLU
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The paper

The paper claims

Non-resonant flavoured leptogenesis works in aligned two-Higgs doublet model

The reading

This paper demonstrates that the observed baryon asymmetry of the universe can be generated through non-resonant flavoured leptogenesis in the aligned two-Higgs doublet model extended with two right-handed neutrinos, for lightest heavy neutrino masses in the 10 TeV to 100 TeV range. The key innovation is that both Yukawa structures from the two Higgs doublets contribute to CP asymmetry, and their interplay with flavour-dependent washouts allows one flavour direction to survive while the other two are erased. The analysis solves fully flavoured Boltzmann equations with decays, inverse decays, $\Delta$ L=1 scatterings, and spectator effects, identifying benchmark points that satisfy neutrino oscillation data, perturbativity, and charged-lepton flavour violation bounds. The result shows that resonant enhancement is not needed; the distinct Yukawa structure itself provides sufficient CP violation.

What carries the argument

The central mechanism is the flavour-dependent CP asymmetry epsilon_1alpha and the flavour projector K_1alpha, which together determine how each flavour's asymmetry evolves. The alignment condition Y2 = xi_nu Y1 ensures tree-level flavour-changing neutral currents are avoided while providing an additional complex parameter xi_nu that serves as a new CP-violating source. The Casas-Ibarra parametrization is used to reconstruct the Yukawa matrices from neutrino oscillation data, introducing a complex angle z = x + iy as a free parameter.

Extended reading notes

Core claim

The core discovery is that in the aligned two-Higgs doublet model, the CP asymmetry for each lepton flavour receives contributions from both Higgs doublets, leading to novel interference terms not present in single-Higgs leptogenesis. For each viable parameter point, washout is weak in one flavour direction (K1alpha < 1) and strong in the other two; the surviving flavour asymmetry then dominates the final baryon asymmetry after sphaleron conversion. The allowed parameter points correlate with small heavy-neutrino mass splittings, but remain in the non-resonant regime ($\Delta$ M >> Gamma).

Load-bearing premise

The assumption that the alignment condition Y2 = xi_nu Y1 holds in the neutrino sector, borrowed from quarks and charged leptons without a symmetry justification; if this proportionality is not exact, the Yukawa structure and the subsequent CP asymmetries would change unpredictably.

Editorial extensions

If this is right

  • TeV-scale non-resonant leptogenesis becomes viable without the need for resonant enhancement, expanding the parameter space for baryogenesis.
  • The model predicts specific correlations between the baryon asymmetry and charged-lepton flavour violation (mu->e gamma) that can be tested in ongoing experiments.
  • The successful parameter points favour small mass splittings between the two heavy neutrinos, which may be probed in future collider or missing-energy searches.
  • The analysis demonstrates that flavour dynamics can dramatically alter the final asymmetry, making flavour-specific predictions important for model discrimination.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the alignment condition does not hold in the neutrino sector, the entire mechanism breaks down, implying that a symmetry explanation for the proportionality is needed to avoid fine-tuning.
  • The model could be extended to include a third right-handed neutrino or dark matter candidates; such extensions would modify the allowed region and possibly provide additional observational signatures.
  • The correlation between small Delta M and successful leptogenesis suggests that future searches for nearly degenerate heavy neutrinos at colliders could directly probe the parameter space of this model.
Original abstract

We explore the possibility of non-resonant flavoured leptogenesis in the framework of the aligned two-Higgs doublet model augmented with two right-handed neutrinos. Considering the lightest heavy neutrino mass between 10 TeV-100 TeV, we calculate the baryon asymmetry of the universe by solving fully flavoured coupled Boltzmann equations and find that the observed baryon asymmetry can be successfully generated for lightest heavy-neutrino masses in this range without relying on resonant enhancement. We compute the flavour-dependent CP asymmetries and washouts as well. Unlike conventional analyses based on only one Higgs doublet, in this framework, both Yukawa structures associated with the scalar doublets contribute to the CP asymmetry, and their combined effect plays an essential role in realizing the observed lepton asymmetry. We find that the flavoured lepton asymmetry survives if the washout in that direction is weak. The CP asymmetries in the other flavour directions suffer strong washout. The surviving flavour-dependent lepton asymmetry becomes the main contributor to the final baryon asymmetry. We perform a comprehensive numerical analysis to identify the allowed regions of the multi-dimensional parameter space compatible with neutrino oscillation data, perturbativity of the Yukawa couplings, charged-lepton flavour violation and the observed baryon asymmetry.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-10-12: 1 request, 6,439 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.75 · compares with prior results 0.78 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We explore the possibility of non-resonant flavoured leptogenesis in the framework of the aligned two-Higgs doublet model augmented with two right-handed neutrinos. Considering the lightest heavy neutrino mass between 10 TeV-100 TeV, we calculate the baryon asymmetry of the universe by solving fully flavoured coupled Boltzmann equations and find that the observed baryon asymmetry can be successfully generated for lightest heavy-neutrino masses in this range without relying on resonant enhancement. We compute the flavour-dependent CP asymmetries and washouts as well. Unlike conventional analyses based on only one Higgs doublet, in this framework, both Yukawa structures associated with the scalar doublets contribute to the CP asymmetry, and their combined effect plays an essential role in realizing the observed lepton asymmetry. We find that the flavoured lepton asymmetry survives if the washout in that direction is weak. The CP asymmetries in the other flavour directions suffer strong washout. The surviving flavour-dependent lepton asymmetry becomes the main contributor to the final baryon asymmetry. We perform a comprehensive numerical analysis to identify the allowed regions of the multi-dimensional parameter space compatible with neutrino oscillation data, perturbativity of the Yukawa couplings, charged-lepton flavour violation and the observed baryon asymmetry.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We explore the possibility of non-resonant flavoured leptogenesis in the framework of the aligned two-Higgs doublet model augmented with two right-handed neutrinos. contribution 0.97 0.83 0.05 hedged possibility 0.88
s1 Considering the lightest heavy neutrino mass between 10 TeV-100 TeV, we calculate the baryon asymmetry of the universe by solving fully flavoured coupled Boltzmann equations and find that the observed baryon asymmetry can be successfully generated for lightest heavy-neutrino masses in this range without relying on resonant enhancement. result 0.96 0.97 0.79 asserted 0.99
s2 We compute the flavour-dependent CP asymmetries and washouts as well. contribution 0.67 0.96 0.04 asserted 0.97
s3 Unlike conventional analyses based on only one Higgs doublet, in this framework, both Yukawa structures associated with the scalar doublets contribute to the CP asymmetry, and their combined effect plays an essential role in realizing the observed lepton asymmetry. interpretation 0.56 0.61 0.15 asserted 1.00
s4 We find that the flavoured lepton asymmetry survives if the washout in that direction is weak. result 0.90 0.92 0.12 asserted 0.93
s5 The CP asymmetries in the other flavour directions suffer strong washout. result 0.99 0.90 0.06 asserted 1.00
s6 The surviving flavour-dependent lepton asymmetry becomes the main contributor to the final baryon asymmetry. result 0.55 0.93 0.23 asserted 1.00
s7 We perform a comprehensive numerical analysis to identify the allowed regions of the multi-dimensional parameter space compatible with neutrino oscillation data, perturbativity of the Yukawa couplings, charged-lepton flavour violation and the observed baryon asymmetry. method 0.66 0.96 0.06 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.72 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. FIG. 1: Feynman diagram of the process
Figure 2. FIG. 2: The CP asymmetry in Type-I see-saw leptogenesis results from the interference between
Figure 3. FIG. 3: Variations of
Figure 4. FIG. 4: Variations of
Figure 5. FIG. 5: Variations of
Figure 6. FIG. 6: Variation of

Figures reproduced from arXiv:2610.13231 by the authors.

References

Discussion

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