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Primordial Black Holes and Cosmological Phase Transitions Report ...

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PBHs <strong>and</strong> <strong>Cosmological</strong> <strong>Phase</strong> <strong>Transitions</strong> 187<br />

log 10Βtk<br />

0<br />

-20<br />

-40<br />

-60<br />

-80<br />

n1.56, log 10t1s1<br />

-5 -4 -3 -2 -1 0 1<br />

log 10 tk<br />

<br />

1 s <br />

Figure 102: The fraction of the universe going into PBHs in a universe with<br />

a running–tilt power spectrum when n+ =1.56 <strong>and</strong> t+ = 10 −1 s. The dark<br />

curve represents the radiation contribution <strong>and</strong> the cyan curve (on the right)<br />

represents the aditional contribution from the electron–positron annihilation<br />

epoch. In this case we have also possible contributions from the QCD phase<br />

transition: Bag Model (blue curve on the left), Lattice Fit (in magenta), <strong>and</strong><br />

Crossover (in green). Also shown (top of figure, in maroon) is the observational<br />

limit.<br />

log 10Βtk<br />

0<br />

-20<br />

-40<br />

-60<br />

-80<br />

n1.54, log 10t1s2<br />

-6 -5 -4 -3 -2 -1 0 1<br />

log10 tk<br />

<br />

1 s <br />

Figure 103: The fraction of the universe going into PBHs in a universe with a<br />

running–tilt power spectrum when n+ =1.54 <strong>and</strong> t+ = 10 −2 s. In this case the<br />

QCD Bag Model <strong>and</strong> the QCD Lattice Fit are excluded due to observational<br />

constraints (for more details see Figure 102).

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