New inflation in supergravity after Planck and LHC

We revisit a single-field new inflation model based on a discrete R symmetry. Interestingly, the inflaton dynamics naturally leads to a heavy gravitino of mass m_3/2 = O(1-100) TeV, which is consistent with the standard-model like Higgs boson of mass mh = 126 GeV. However, the predicted spectral index n_s = 0.94 is in tension with the Planck result, n_s = 0.9603+-0.073. We show that the spectral index can be increased by allowing a small constant term in the superpotential during inflation. The required size of the constant is close to the largest allowed value for successful inflation, and it may be a result of a pressure toward larger values in the landscape. Alternatively, such constant term may arise in association with supersymmetry breaking required to cancel the negative cosmological constant from the inflaton sector.Comment: 15 pages, 2 figure

A possible anthropic solution to the Strong CP problem

We point out that the long-standing strong CP problem may be resolved by an anthropic argument. The key ideas are: (i) to allow explicit breaking(s) of the Peccei-Quinn symmetry which reduces the strong CP problem to the cosmological constant problem, and (ii) to conjecture that the probability distribution of the vacuum energy has a mild pressure towards higher values. The cosmological problems of the (s)axion with a large Peccei-Quinn scale are absent in our mechanism, since the axion acquires a large mass from the explicit breaking.Comment: 22 pages, 2 figures.v2: references added.v3:a version to appear in Progress of Theoretical Physic

Higgs Chaotic Inflation and the Primordial B-mode Polarization Discovered by BICEP2

We show that the standard model Higgs field can realize the quadratic chaotic inflation, if the kinetic term is significantly modified at large field values. This is a simple realization of the so-called running kinetic inflation. The point is that the Higgs field respects an approximate shift symmetry at high energy scale. The tensor-to-scalar ratio is predicted to be $r \simeq 0.13 - 0.16$, which nicely explains the primordial B-mode polarization, $r=0.20^{+0.07}_{-0.05}$, recently discovered by the BICEP2 experiment. In particular, allowing small modulations induced by the shift symmetry breaking, the negative running spectral index can also be induced. The reheating temperature is expected to be so high that successful thermal leptogenesis is possible. The suppressed quartic coupling of the Higgs field at high energy scales may be related to the Higgs chaotic inflation.Comment: 12 pages. v2: discussion improved, references added. v3: matches with published versio

PeV-scale Supersymmetry from New Inflation

We show that heavy supersymmetric particles around O(100) TeV to O(1) PeV naturally appear in new inflation in which the Higgs boson responsible for the breaking of U(1)B-L plays the role of inflaton. Most important, the supersymmetric breaking scale is bounded above by the inflationary dynamics, in order to suppress the Coleman-Weinberg potential which would otherwise spoil the slow-roll inflation. Our scenario has rich phenomenological and cosmological implications: the Higgs boson mass at around 125 GeV can be easily explained, non-thermal leptogenesis works automatically, the gravitino production from inflaton decay is suppressed, the dark matter is either the lightest neutralino or the QCD axion, and the upper bound on the inflation scale for the modulus stabilization can be marginally satisfied.Comment: 34 pages, 8 figures. v2: references adde