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Non-Gaussianities in the Horndeski’s theory l Local shape: Under the slow-‐variation approximation, the non-‐linear estimator is Same as that derived by Maldacena in standard slow-‐roll inflation (2002). Gao and Steer (2011) A. De Felice and S.T. (2011) The small local non-‐Gaussianity in the squeezed limit is a generic feature in the single-‐field slow-‐variation inflation. l Equilateral shape: The leading-‐order non-‐linear estimator is
Observational constraints on power-law k-inflation The power-‐law inflation can be realized by the Lagrangian (dilatonic ghost condensate) In this case the observables are c s >0.079 0.02 0.04 0.06 0.08 0.1 c s Generally the k-‐inflation models are tightly constrained from the equilateral type NG.
Page 1 and 2: S. Tsujikawa, J. Ohashi, S.Kuro
Page 3 and 4: Old inflation (Sato, Kazanas, G
Page 5 and 6: Standard slow-‐roll inflation
Page 7 and 8: S = ⇤ d 4 x ⇥ g ⇥ R 16 G + X
Page 9 and 10: Discrimination between inflaton
Page 11 and 12: S.T., J. Ohashi, S. Kuroyanagi,
Page 13 and 14: Horndeski’s paper in 1973
Page 15 and 16: Power spectrum of curvature per
Page 17 and 18: We can apply our general resul
Page 19 and 20: Planck constraints on Brans-Dicke g
Page 21 and 22: Higgs inflation There are severa
Page 23 and 24: Running kinetic couplings 0.3 0.25
Page 25: f NL B R f NL ・・・nonlinear e
Page 29: Potentials favored from observat

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