New Model of Inflation with Nonminimal Derivative Coupling of Standard Model Higgs Boson to Gravity

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In this paper we show that the Germani-Kehagias model of Higgs inflation (or New Higgs Inflation), where the Higgs boson is kinetically non-minimally coupled to the Einstein tensor is in perfect compatibility with the latest Planck and BICEP2 data. Moreover, we show that the tension between the Planck and BICEP2 data can be relieved within the New Higgs inflation scenario by a negative running of the spectral index. Regarding the unitarity of the model, we argue that it is unitary throughout the evolution of the Universe. Weak couplings in the Higgs-Higgs and Higgs-graviton sectors are provided by a large background dependent cut-off scale during inflation. In the same regime, the W and Z gauge bosons acquire a very large mass, thus decouple. On the other hand, if they are also non-minimally coupled to the Higgs boson, their effective masses can be enormously reduced. In this case, the W and Z bosons are no longer decoupled. After inflation, the New Higgs model is well approximated by a quartic Galileon with a renormalizable potential. We argue that this can unitarily create the right conditions for inflation to eventually start.

“…In the New Higgs Inflationary scenario of [13], the Higgs boson kinetic term is (uniquely) non-minimally coupled to the Einstein tensor as follows…”

Section: Jcap12(2014)009mentioning

confidence: 99%

“…where the sign of the kinetic gravitational coupling was chosen to avoid appearance of ghost instabilities in perturbations [13,16,17]. 1 In the Arnowitt-Deser-Misner (ADM) formalism with a metric…”

Section: Fitting Planck and Bicepdata With New Higgs Inflationmentioning

confidence: 99%

Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data

Germani¹,

Watanabe²,

Wintergerst³

2014

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“…3 The inflation ends at the point where the slow-roll conditions are violated, namely, one of the slow-roll parameters η becomes order unity,…”

Section: Set-up and Inflaton Dynamicsmentioning

confidence: 99%

“…In the SM, the Higgs boson φ SM is the only scalar field, and therefore a candidate for the inflaton. It is indeed possible to build an inflation model using φ SM , relying on a non-canonical kinetic term [2,3] and/or a non-minimal coupling to gravity [4,5].…”

Section: Introductionmentioning

confidence: 99%

Low-scale supersymmetry from inflation

Nakayama

Takahashi

2011

We investigate an inflation model with the inflaton being identified with a Higgs boson responsible for the breaking of U(1) B−L symmetry. We show that supersymmetry must remain a good symmetry at scales one order of magnitude below the inflation scale, in order for the inflation model to solve the horizon and flatness problems, as well as to account for the observed density perturbation. The upper bound on the soft supersymmetry breaking mass lies between 1 TeV and 10 3 TeV. Interestingly, our finding opens up a possibility that universes with the low-scale supersymmetry are realized by the inflationary selection. Our inflation model has rich implications; non-thermal leptogenesis naturally works, and the gravitino and moduli problems as well as the moduli destabilization problem can be solved or ameliorated; the standard-model higgs boson receives a sizable radiative correction if the supersymmertry breaking takes a value on the high side ∼ 10 3 TeV.

“…The function (4.1) can encompass most of the models with the Lagrangian L 5 proposed in the literature. For example, we have G 5 (φ) = g 0 (φ) ∝ φ for the non-minimal derivative coupling model [53,54], G 5 (X) = g 2 X 2 for covariant Galileons [10], and G 5 (X) = g m X m (m ≥ 1) for extended Galileons [55]. For the purpose of studying the singularity problem around the center of a compact body, the function (4.1) is sufficiently general as it can be regarded as the expansion of a regular function G 5 around r = 0.…”

Section: Effect Of the Lagrangian L 5 On The Conical Singularitymentioning

confidence: 99%

Conical singularities and the Vainshtein screening in full GLPV theories

Kase

Tsujikawa

Felice

2016

Abstract. In Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories, it is known that the conical singularity arises at the center of a spherically symmetric body (r = 0) in the case where the parameter α H4 characterizing the deviation from the Horndeski Lagrangian L 4 approaches a non-zero constant as r → 0. We derive spherically symmetric solutions around the center in full GLPV theories and show that the GLPV Lagrangian L 5 does not modify the divergent property of the Ricci scalar R induced by the non-zero α H4 . Provided that α H4 = 0, curvature scalar quantities can remain finite at r = 0 even in the presence of L 5 beyond the Horndeski domain. For the theories in which the scalar field φ is directly coupled to R, we also obtain spherically symmetric solutions inside/outside the body to study whether the fifth force mediated by φ can be screened by non-linear field self-interactions. We find that there is one specific model of GLPV theories in which the effect of L 5 vanishes in the equations of motion. We also show that, depending on the sign of a L 5 -dependent term in the field equation, the model can be compatible with solar-system constraints under the Vainshtein mechanism or it is plagued by the problem of a divergence of the field derivative in high-density regions.