Finite-duration non-slow-roll effects in inflationary production of ultralight vector dark matter

@misc{khan2026finiteduration,
  title = {{Finite-duration non-slow-roll effects in inflationary production of ultralight vector dark matter}},
  author = {Imtiaz Khan and Niamat Ullah and Chengxun Yuan and G. Mustafa and Farruh Atamurotov and Ahmadjon Abdujabbarov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02970},
  eprint = {2609.02970},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02970},
}

TY  - UNPB
TI  - Finite-duration non-slow-roll effects in inflationary production of ultralight vector dark matter
AU  - Imtiaz Khan
AU  - Niamat Ullah
AU  - Chengxun Yuan
AU  - G. Mustafa
AU  - Farruh Atamurotov
AU  - Ahmadjon Abdujabbarov
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02970
UR  - https://arxiv.org/abs/2609.02970
AB  - Inflationary production of ultralight vector dark matter can be amplified by a brief non-slow-roll phase, yet instantaneous mass transitions generate ultraviolet ringing and leave finite-time predictions unresolved. We replace the sharp transition with a smooth profile and derive the momentum-response kernel of the longitudinal mode. Finite duration preserves the infrared enhancement, suppresses modes that resolve the transition, and introduces a profile-dependent correction to the relic abundance. After fixing the dark matter abundance, the induced gravitational-wave signal retains an independent transverse-traceless source dependence, so abundance rescaling alone leaves residual profile information. Numerical mode evolution and radiation-era tensor integration support the finite-width treatment. Transition duration therefore links microscopic inflationary dynamics to ultralight vector abundance and its low-frequency gravitational-wave signal.
ER  -