Unitarity bound on dark matter in low-temperature reheating scenarios

Nicolás Bernal (New York University Abu Dhabi, P.O. Box 129188, Saadiyat Island, Abu Dhabi, United Arab Emirates) ; Partha Konar (Physical Research Laboratory, Ahmedabad 380009, Gujarat, India) ; Sudipta Show (Physical Research Laboratory, Ahmedabad 380009, Gujarat, India)

The model-independent theoretical upper bound on the thermal dark matter (DM) mass can be derived from the maximum inelastic DM cross section featuring the whole observed DM abundance. We deploy partial-wave unitarity of the scattering matrix to derive the maximal thermally averaged cross section for general number-changing processes r2 (with r2), which may involve standard model particles or occur solely within the dark sector. The usual upper limit on the DM mass for s-wave annihilation is around 130 TeV (1 GeV) for r=2 (3) and only applies in the case of a freeze-out occurring in the standard cosmological scenario. We consider the effects of two nonstandard cosmological evolutions, characterized by low-temperature reheating: (i) a kinationlike scenario and (ii) an early matter-dominated scenario. In the first case, early freeze-out strengthens the unitarity bound to a few TeVs for weakly interacting massive particles (WIMPs); while in the second case, the WIMP DM can be as heavy as 1010 GeV due to a large entropy dilution.

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      "source": "APS", 
      "value": "The model-independent theoretical upper bound on the thermal dark matter (DM) mass can be derived from the maximum inelastic DM cross section featuring the whole observed DM abundance. We deploy partial-wave unitarity of the scattering matrix to derive the maximal thermally averaged cross section for general number-changing processes <math><mi>r</mi><mo>\u2192</mo><mn>2</mn></math> (with <math><mi>r</mi><mo>\u2265</mo><mn>2</mn></math>), which may involve standard model particles or occur solely within the dark sector. The usual upper limit on the DM mass for <math><mi>s</mi></math>-wave annihilation is around 130 TeV (1 GeV) for <math><mi>r</mi><mo>=</mo><mn>2</mn></math> (3) and only applies in the case of a freeze-out occurring in the standard cosmological scenario. We consider the effects of two nonstandard cosmological evolutions, characterized by low-temperature reheating: (i) a kinationlike scenario and (ii) an early matter-dominated scenario. In the first case, early freeze-out strengthens the unitarity bound to a few TeVs for weakly interacting massive particles (WIMPs); while in the second case, the WIMP DM can be as heavy as <math><mo>\u223c</mo><msup><mn>10</mn><mn>10</mn></msup><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math> due to a large entropy dilution."
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Published on:
23 February 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.109.035018
arXiv:
2311.01587
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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