Inflation in a modified radiative seesaw model

Inflation in a modified
radiative seesaw model
金沢大学理論物理学研究室
かしわせ
しょういち
柏瀬 翔一
第2回松江現象論研究会
2014. 11/28-11/30 @島根
Based on
Romy H.S. Budhi, SK and Daijiro Suematsu, arXiv:1409.6889
Problems in the SM
The standard model can not explain
• Neutrino mass
• Dark matter
• Baryon number asymmetry of the Universe
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Radiative seesaw model
E. Ma, PRD87. 077301
Inert doublet
Neutrino mass
Dark matter
Z2
odd
Leptogenesis
SM
SM
A radiative seesaw model is a promising candidate which can explain
these problems simultaneously.
SK and Daijiro Suematsu, PRD86.053001, EPJC73:2484
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Problems in the SM
The standard model can not explain
 Neutrino mass
 Dark matter
 Baryon number asymmetry of the Universe
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Problems in the SM
The standard model can not explain
 Neutrino mass
 Dark matter
 Baryon number asymmetry of the Universe
+ Inflation
BICEP2
arXiv:1409.5738
Phys. Rev. Lett. 12(2014)241101
B-mode or dust?
The observation of the B-mode polarization in the CMB is a
strong evidence for the existence of the inflationary era.
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
However,
Lyth bound
D. H. Lyth, Phys Rev Lett 78(1997)1861
S. Antusch, D. Nolde, JCAP 1405 (2014) 035
P. A. R. Ade et al., (BICEP2 collaboration),
Phys. Rev. Lett. 12(2014)241101
Effective potential
The Planck-suppressed operators
spoil the flatness of potential!
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Setup
Complex scalar extension
The scalar singlet plays a key role also for the small neutrino
mass generation.
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Potential
J. McDonald, arXiv:1404.4620
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
The potential has local minima for a fixed θ at
The field a along this trajectory is considered to
play a role of inflaton.
The change of the inflaton a from some period to the end of
inflation can be expressed as
:canonically normalized inflaton
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Result
P. A. R. Ade et al., Astron. Astrophys. 571 (2014) A22
Foreground subtraction
without
with
BICEP2 collaboration,
P. A. R. Ade,
Phys. Rev. Lett.
112(2014)241101
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Result
P. A. R. Ade et al., Astron. Astrophys. 571 (2014) A22
C2 term is negligible.
Foreground subtraction
without
with
The inflaton rolls down towards
the global minimum before ε=1.
ε=1
χ
end
N(χe)
柏瀬 翔一
BICEP2 collaboration,
P. A. R. Ade,
Phys. Rev. Lett.
112(2014)241101
ε< 1
N*
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Result
P. A. R. Ade et al., Astron. Astrophys. 571 (2014) A22
Foreground subtraction
without
with
The contribution from C2 term is larger than case B.
BICEP2 collaboration,
P. A. R. Ade,
Phys. Rev. Lett.
112(2014)241101
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Result
P. A. R. Ade et al., Astron. Astrophys. 571 (2014) A22
Foreground subtraction
without
with
This model is expected to be tested
by the future CMB observations.
柏瀬 翔一
Inflation in a modified radiative seesaw model
BICEP2 collaboration,
P. A. R. Ade,
Phys. Rev. Lett.
112(2014)241101
第二回松江現象論研究会
Reheating Temperature
The Universe could be reheated up through inflaton decay.
:for small neutrino masses
:not to contribute to the potential for inflation
Sufficient reheating temperature for leptogenesis could be obtained.
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会
Summary
• We consider the model which explains
neutrino mass, DM, baryon asymmetric
Universe and also inflation.
• This model could be free from the serious
problem caused by trans-Planckian field
values.
• Both the tensor-to-scalar ratio and the
spectral index could have values which are
favorable from the recent observations.
• Sufficient reheating temperature for
leptogenesis could be realized.
柏瀬 翔一
Inflation in a modified radiative seesaw model
第二回松江現象論研究会