The Leptogenesis Mass Scale Against the Temperature Ceiling of a Torsion Bounce

Thermal leptogenesis requires heavy Majorana neutrinos, and an old question is whether the temperature needed to produce them is available in a cosmology with a maximum density. This paper computes the temperature ceiling implied by a torsion-regulated bounce with density ceiling 9.72e57 kg per cubic metre and compares it with the minimum heavy-neutrino mass from the Davidson-Ibarra bound. The ceiling is T_max = 3.28e+22 K, or 2.82e+09 GeV. Reproducing the observed asymmetry at efficiency 0.1 requires a CP asymmetry of 9.29e-08, which the Davidson-Ibarra bound converts into a minimum mass M1 = 9.42e+08 GeV; at M1 = 1e10 GeV the largest allowed CP asymmetry is 9.86e-07. The ceiling exceeds the minimum scale by a factor of 3.00e+00, so the bounce does not obstruct thermal leptogenesis: the required temperatures are reached, with enormous headroom, on both sides of the bounce. Computed from stated assumptions, not measured.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24142366
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
0.00
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article

The Leptogenesis Mass Scale Against the Temperature Ceiling of a Torsion Bounce

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
article

The Leptogenesis Mass Scale Against the Temperature Ceiling of a Torsion Bounce

William Alexander Aldred
article en

Abstract

Thermal leptogenesis requires heavy Majorana neutrinos, and an old question is whether the temperature needed to produce them is available in a cosmology with a maximum density. This paper computes the temperature ceiling implied by a torsion-regulated bounce with density ceiling 9.72e57 kg per cubic metre and compares it with the minimum heavy-neutrino mass from the Davidson-Ibarra bound. The ceiling is T_max = 3.28e+22 K, or 2.82e+09 GeV. Reproducing the observed asymmetry at efficiency 0.1 requires a CP asymmetry of 9.29e-08, which the Davidson-Ibarra bound converts into a minimum mass M1 = 9.42e+08 GeV; at M1 = 1e10 GeV the largest allowed CP asymmetry is 9.86e-07. The ceiling exceeds the minimum scale by a factor of 3.00e+00, so the bounce does not obstruct thermal leptogenesis: the required temperatures are reached, with enormous headroom, on both sides of the bounce. Computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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