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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Constraining N = 1 supergravity inflationary framework with non-minimal Kähler operators
AU - Choudhury, Sayantan
AU - Mazumdar, Anupam
AU - Pukartas, Ernestas
N1 - JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
PY - 2014/4/14
Y1 - 2014/4/14
N2 - In this paper we will illustrate how to constrain unavoidable Kähler corrections for N = 1 supergravity (SUGRA) inflation from the recent Planck data. We will show that the non-renormalizable Kähler operators will induce in general non-minimal kinetic term for the inflaton field, and two types of SUGRA corrections in the potential — the Hubble-induced mass (c H ), and the Hubble-induced A-term (a H ) correction. The entire SUGRA inflationary framework can now be constrained from (i) the speed of sound, c s , and (ii) from the upper bound on the tensor to scalar ratio, r ⋆. We will illustrate this by considering a heavy scalar degree of freedom at a scale, M s , and a light inflationary field which is responsible for a slow-roll inflation. We will compute the corrections to the kinetic term and the potential for the light field explicitly. As an example, we will consider a visible sector inflationary model of inflation where inflation occurs at the point of inflection, which can match the density perturbations for the cosmic microwave background radiation, and also explain why the universe is filled with the Standard Model degrees of freedom. We will scan the parameter space of the non-renormalizable Kähler operators, which we find them to be order O (1), consistent with physical arguments. While the scale of heavy physics is found to be bounded by the tensor-to scalar ratio, and the speed of sound, ( O 1011 ≤ M s ≤ 1016) GeV, for 0.02 ≤ c s ≤ 1 and 10−22 ≤ r ⋆ ≤ 0.12.
AB - In this paper we will illustrate how to constrain unavoidable Kähler corrections for N = 1 supergravity (SUGRA) inflation from the recent Planck data. We will show that the non-renormalizable Kähler operators will induce in general non-minimal kinetic term for the inflaton field, and two types of SUGRA corrections in the potential — the Hubble-induced mass (c H ), and the Hubble-induced A-term (a H ) correction. The entire SUGRA inflationary framework can now be constrained from (i) the speed of sound, c s , and (ii) from the upper bound on the tensor to scalar ratio, r ⋆. We will illustrate this by considering a heavy scalar degree of freedom at a scale, M s , and a light inflationary field which is responsible for a slow-roll inflation. We will compute the corrections to the kinetic term and the potential for the light field explicitly. As an example, we will consider a visible sector inflationary model of inflation where inflation occurs at the point of inflection, which can match the density perturbations for the cosmic microwave background radiation, and also explain why the universe is filled with the Standard Model degrees of freedom. We will scan the parameter space of the non-renormalizable Kähler operators, which we find them to be order O (1), consistent with physical arguments. While the scale of heavy physics is found to be bounded by the tensor-to scalar ratio, and the speed of sound, ( O 1011 ≤ M s ≤ 1016) GeV, for 0.02 ≤ c s ≤ 1 and 10−22 ≤ r ⋆ ≤ 0.12.
KW - Cosmology of Theories beyond the SM
KW - Supersymmetric Effective Theories
KW - Supergravity Models
U2 - 10.1007/JHEP04(2014)077
DO - 10.1007/JHEP04(2014)077
M3 - Journal article
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
M1 - 77
ER -