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PreprintCC BY 4.0arXiv

Exothermic dark-photon dark matter and the LZ high-recoil event: finite-reheating constraints

Abstract

An excited dark-matter state can produce a high-energy nuclear recoil by releasing its mass splitting in a collision. Motivated by the $248$~keV LUX--ZEPLIN candidate, we study freeze-in of a $45$~GeV pseudo-Dirac particle with a $1$~MeV splitting and a $1$~GeV dark photon during non-instantaneous reheating. We choose a recoil normalization compatible with the published INTEGRAL/SPI three-photon decay limit. It predicts $0.43$ events in the LZ window and retains the reference recoil shape. Including both dark-photon and Z exchange, we calculate production and entropy dilution for backgrounds with T∝ a−α and ρϕ∝ a−3(1+ω). For Tmax=mχ, the observed abundance requires Trh=1.32~GeV for matter-like constant-width reheating, $3.09$~GeV for quartic oscillations with scalar decay, and $0.588$~GeV for quartic oscillations with constant width, compared with $4.10$~GeV for instantaneous reheating. These finite-reheating solutions are insensitive to increasing Tmax above mχ. For Tmax≥ mχ, adiabatic kination has no solution with Trh>5.96~MeV, the BBN-motivated cutoff adopted for our scans. At αD=10−10, the estimated thermal-mediator source is below 0.2% of the Standard Model source, and self-conversion does not appreciably deplete the excited population. The calculation relates an exothermic recoil benchmark to the production and dilution history before radiation domination.

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BibTeX
@misc{deka2026exothermic,
  title = {{Exothermic dark-photon dark matter and the LZ high-recoil event: finite-reheating constraints}},
  author = {Kuldeep Deka},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18974},
  eprint = {2610.18974},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18974},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exothermic dark-photon dark matter and the LZ high-recoil event: finite-reheating constraints
AU  - Kuldeep Deka
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18974
UR  - https://arxiv.org/abs/2610.18974
AB  - An excited dark-matter state can produce a high-energy nuclear recoil by releasing its mass splitting in a collision. Motivated by the $248$~keV LUX--ZEPLIN candidate, we study freeze-in of a $45$~GeV pseudo-Dirac particle with a $1$~MeV splitting and a $1$~GeV dark photon during non-instantaneous reheating. We choose a recoil normalization compatible with the published INTEGRAL/SPI three-photon decay limit. It predicts $0.43$ events in the LZ window and retains the reference recoil shape. Including both dark-photon and Z exchange, we calculate production and entropy dilution for backgrounds with T∝ a^−α and ρ_ϕ∝ a^−3(1+ω). For Tmax=m_χ, the observed abundance requires Trh=1.32~GeV for matter-like constant-width reheating, $3.09$~GeV for quartic oscillations with scalar decay, and $0.588$~GeV for quartic oscillations with constant width, compared with $4.10$~GeV for instantaneous reheating. These finite-reheating solutions are insensitive to increasing Tmax above m_χ. For Tmax≥ m_χ, adiabatic kination has no solution with Trh>5.96~MeV, the BBN-motivated cutoff adopted for our scans. At α_D=10^−10, the estimated thermal-mediator source is below 0.2% of the Standard Model source, and self-conversion does not appreciably deplete the excited population. The calculation relates an exothermic recoil benchmark to the production and dilution history before radiation domination.
ER  -