Analytic reheating

Joseph Elliston!University of Sussex

In collaboration with Stefano Orani and David Mulryne

arXiv: 1402.4800

Reheating matters…

0 50 100 150−2

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fNL

Our result encapsulates:

Two-field slow-roll inflation Curvaton-type

Inhomogeneous End of Inflation! Modulated Reheating!

Two-field slow-roll inflation Curvaton-type

Inhomogeneous End of Inflation! Modulated Reheating!

Inhomogeneous End of Inflation!

�

�

Isocurvature fieldAdiabatic!field

Video Available on Youtube

Modulated Reheating !

�

⇢

MatterRadiation

H = �(�)

Decay width

Equivalence between Inhomogeneous End of Inflation and Modulated Reheating: see arXiv: 1307.7095

Video Available on Youtube

Analytic calculations…

Phase A is just repeating Vernizzi and Wands (2006)…

Analytic calculations…

Allows arbitrary hypersurfaces

(uniform density limit)

Principle result

Modulation effects !=1 if standard curvaton

Horizon Crossing Approximation piece!

(constant)

“Oscillation parameter”!degenerate with r

Conclusions

• Reheating can alter the predictions of inflation!

• We have a general but simple formula for perturbative reheating with two-components!

• Combines the Curvaton, Inhomogeneous End of Inflation and Modulated Reheating models.!

• Our work is a test bed for investigating the analytic criterion for phase transitions.

arXiv: 1402.4800