Primordial Black Holes and Cosmological Phase Transitions Report ...
Primordial Black Holes and Cosmological Phase Transitions Report ... Primordial Black Holes and Cosmological Phase Transitions Report ...
PBHs and Cosmological Phase Transitions 186 log 10Βtk log 10Βtk log 10Βtk 0 -20 -40 -60 -80 0 -20 -40 -60 -80 0 -20 -40 -60 -80 a n1.56, log 10t1s0 -3 -2 -1 0 1 2 log10 tk 1 s c n1.54, log 10t1s1 -1 -0.5 0 0.5 1 1.5 log10 tk 1 s e n1.60, log 10t1s2 -0.5 0 0.5 1 1.5 2 2.5 3 log10 tk 1 s log 10Βtk log 10Βtk log 10Βtk 0 -20 -40 -60 -80 0 -20 -40 -60 -80 0 -20 -40 -60 -80 b n1.62, log 10t1s0 -3 -2 -1 0 1 2 log10 tk 1 s d n1.66, log 10t1s1 -2 -1 0 1 2 3 log10 tk 1 s f n1.68, log 10t1s2 -1 0 1 2 3 4 log10 tk 1 s Figure 101: The fraction of the universe going into PBHs in a universe with a running–tilt power spectrum when: (a) n+ =1.52 and t+ = 1 s; (b) n+ =1.62 and t+ = 1 s; (c) n+ =1.54 and t+ = 10 s; (d) n+ =1.66 and t+ = 10 s; (e) n+ = 1.60 and t+ = 100 s; (f) n+ = 1.68 and t+ = 100 s. The dark curve represents the radiation contribution and the cyan curve represents the contribution from the electron–positron annihilation epoch. Also shown (top of figure, in maroon) is the observational limit.
PBHs and Cosmological Phase Transitions 187 log 10Βtk 0 -20 -40 -60 -80 n1.56, log 10t1s1 -5 -4 -3 -2 -1 0 1 log 10 tk 1 s Figure 102: The fraction of the universe going into PBHs in a universe with a running–tilt power spectrum when n+ =1.56 and t+ = 10 −1 s. The dark curve represents the radiation contribution and the cyan curve (on the right) represents the aditional contribution from the electron–positron annihilation epoch. In this case we have also possible contributions from the QCD phase transition: Bag Model (blue curve on the left), Lattice Fit (in magenta), and Crossover (in green). Also shown (top of figure, in maroon) is the observational limit. log 10Βtk 0 -20 -40 -60 -80 n1.54, log 10t1s2 -6 -5 -4 -3 -2 -1 0 1 log10 tk 1 s Figure 103: The fraction of the universe going into PBHs in a universe with a running–tilt power spectrum when n+ =1.54 and t+ = 10 −2 s. In this case the QCD Bag Model and the QCD Lattice Fit are excluded due to observational constraints (for more details see Figure 102).
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- Page 221 and 222: Table 49 (continued). PBHs and Cosm
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PBHs <strong>and</strong> <strong>Cosmological</strong> <strong>Phase</strong> <strong>Transitions</strong> 186<br />
log 10Βtk<br />
log 10Βtk<br />
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a n1.56, log 10t1s0<br />
-3 -2 -1 0 1 2<br />
log10 tk<br />
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c n1.54, log 10t1s1<br />
-1 -0.5 0 0.5 1 1.5<br />
log10 tk<br />
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e n1.60, log 10t1s2<br />
-0.5 0 0.5 1 1.5 2 2.5 3<br />
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b n1.62, log 10t1s0<br />
-3 -2 -1 0 1 2<br />
log10 tk<br />
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d n1.66, log 10t1s1<br />
-2 -1 0 1 2 3<br />
log10 tk<br />
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1 s <br />
f n1.68, log 10t1s2<br />
-1 0 1 2 3 4<br />
log10 tk<br />
<br />
1 s <br />
Figure 101: The fraction of the universe going into PBHs in a universe with a<br />
running–tilt power spectrum when: (a) n+ =1.52 <strong>and</strong> t+ = 1 s; (b) n+ =1.62<br />
<strong>and</strong> t+ = 1 s; (c) n+ =1.54 <strong>and</strong> t+ = 10 s; (d) n+ =1.66 <strong>and</strong> t+ = 10 s;<br />
(e) n+ = 1.60 <strong>and</strong> t+ = 100 s; (f) n+ = 1.68 <strong>and</strong> t+ = 100 s. The dark<br />
curve represents the radiation contribution <strong>and</strong> the cyan curve represents the<br />
contribution from the electron–positron annihilation epoch. Also shown (top of<br />
figure, in maroon) is the observational limit.