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
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