The Spectrum of Fluctuations in the · 2016. 2. 17. · Starobinsky + term to fix direcon in...
Transcript of The Spectrum of Fluctuations in the · 2016. 2. 17. · Starobinsky + term to fix direcon in...
The Spectrum of Fluctuations in the Cosmic Microwave Background
The position of the first peak à total density ΩTot
The other peaks depend on density of ordinary matter Ωatoms & dark matter ΩDark
First No-Scale Supergravity Model of Inflation
• No ‘holes’ in effective potential with negative cosmological constant
JE, Enqvist, Nanopoulos, Olive & Srednicki, 1984
• A no-scale supergravity model of inflation that interpolates between Planck and BICEP2:
• Identify inflaton with components of modulus T:
• Effective Lagrangian:
A No-Scale Inflationary Model to Fit Them All
JE, García, Nanopoulos & Olive, arXiv:1405.0271
Starobinsky Quadra0c
Mo0vatedbyorbifoldcompac0fica0on
A No-Scale Inflationary Model to Fit Them All
JE, García, Nanopoulos & Olive, arXiv:1405.0271
Starobinsky
Quadra0c
Starobinsky
+termtofixdirec0onincomplexTplane
• Isocurvature effects on curvature perturbations may suppress tensor/scalar ratio r
• ns, r, non-Gaussianity dependences on initial values
Two-Field Analysis of No-Scale Inflationary Model
JE, García, Nanopoulos & Olive, arXiv:1409.8197
No-Scale Framework for Particle Physics & Dark Matter
• Incorporating LHC constraints, Higgs mass, flavour, supersymmetric dark matter, Starobinsky-like inflation, leptogenesis, neutrino masses, …
JE, Nanopoulos & Olive, arXiv:1310.4770
No-Scale Framework for Particle Physics & Dark Matter
• Incorporating LHC constraints, Higgs mass, flavour, supersymmetric dark matter, Starobinsky-like inflation, leptogenesis, neutrino masses, …
JE, Nanopoulos & Olive, arXiv:1310.4770
Observedconstraints:8 TeV: ! !! → !! ≈ !.! ± !.! !" CMS 1σ ,!.! ± !.! !" ATLAS 1σ ,< !.! !" (95% CL)13 TeV: ! !! → !! ≈ ! ± ! !" CMS 1σ ,!" ± ! !" (ATLAS 1σ) MS≈750GeVΓ ≈ 5 − 45 GeV!!!!!!!!!
≈ 7×10!! (Γ = 5 GeV)!!!!!!!!!≈ 6×10!! (Γ = 45 GeV)
F-SU(5)Model! = !!!"!"!!! + !!!"!!"!! + !!!"#!"! + !!!"#!"! + !!!"#!"! + !!!"#!"! +!!"!"!"! +!!"!"!"! +!!"!"!"! +!!"!"!"! Γ!! = !!" !
!! !!where!!" = !!"!!
!!!!!!
!!!!!"! !! +!!!!!!!!
! !!!!!"! !!!! Γ!! = ! !! !
! !!where!! = !!!!
!!!!!!
!!!!! +!!!!!!!!
! !!!!!!! Results:!!" = 860 − 1200 GeV !!" = 735 − 1100 GeV !!" = 200 − 400 GeV !!" = 1209 − 1697 GeV !!" = 1039 − 1556 GeV !!" = 283 − 566 GeV !! = 0.80 − 0.83 !! = 0.70 − 0.83 !! = 0.31Γ = 5 GeV: Γ!! = 0.0005 − 0.0016 GeV Γ!! = 0.53 − 0.93 GeV !! = 2500 − 3000 GeV !! = 2200 − 3000 GeV !! = 1200 − 2400 GeV BR ! → !! = 0.010 − 0.032% BR ! → !! = 11 − 19% BR ! → !"!"! + !"!" = 0 − 35% BR ! → !" = 50 − 81% Γ = 45 GeV: Γ!! = 0.0005 − 0.0017 GeV Γ!! = 0.41 − 0.95 GeV !! = 2565 − 3600 GeV !! = 2205 − 3300 GeV !! = 1500 − 2400 GeV BR ! → !! = 0.0012 − 0.0037% BR ! → !! = 0.9 − 2.1% BR ! → !"!"! + !"!" = 0 − 2.6% BR ! → !" = 95.6 − 97.9%