In excursion set theory with colored noises, the low-mass tail of the PBH mass function differs from Carr's formula because correlated noises end the degeneracy of formation probabilities, though Carr's formula remains practical near the characteristic mass for smooth Fourier-space window functions.
Young,Computation of the Abundance of Primordial Black Holes, pp
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A broad-mass-function population of primordial black holes formed at the QCD epoch predicts a merger rate of 0.8 per year that matches the S251112cm candidate, implying f_PBH > 0.04 if confirmed.
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Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions
In excursion set theory with colored noises, the low-mass tail of the PBH mass function differs from Carr's formula because correlated noises end the degeneracy of formation probabilities, though Carr's formula remains practical near the characteristic mass for smooth Fourier-space window functions.
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Implications for Primordial Black Hole Dark Matter from a Single Subsolar Mass Gravitational-wave Detection in LVK O1--O4
A broad-mass-function population of primordial black holes formed at the QCD epoch predicts a merger rate of 0.8 per year that matches the S251112cm candidate, implying f_PBH > 0.04 if confirmed.