This study revisits supersymmetric (SUSY) hybrid inflation in light of CMB

experiments and swampland conjectures. We first show that if one adds

radiative, soft mass, and SUGRA corrections to the scalar potential,

supersymmetric hybrid inflation is still consistent with Planck 2018 and

LiteBIRD 2023 despite an impression that it does not. Usually, in SUSY hybrid

inflation with minimal K”ahler potential, the gauge symmetry breaking scale

$M$ turns out to be ${cal O}(10^{15})$ GeV, which causes proton decay rate

problem. In this study, we present a new parameter space where the proton decay

rate problem can be avoided by achieving $M$ of the order of $10^{16}$ GeV with

$M_{S}^{2}<$0 and $am_{3/2}>$0. In this scenario, one requires a soft SUSY

breaking scale $|M_{S}| gtrsim 10^{6}$ GeV. Moreover, the tensor to scalar

ratio $r$ is in the range $10^{-16}$ to $10^{-6}$, which is quite small. In

this case, modified swampland hold, but it difficult to satisfied

trans-Planckian censorship conjecture. For this reason, we also consider

non-minimal K”ahler potential. We fixed spectral index $n_{S}=$0.9665 (central

value) of Planck 2018 data and $M=2times 10^{16}$ GeV and present our

calculations. We show the canonical measure of primordial gravity waves $r$ for

$M_{S}=$ 1 TeV, $m_{3/2}=$ 1 TeV, $kappa_{S}<0$ for $cal{N}=$1 and

$cal{N}=$2, ranges from $10^{-5}$ to $0.01$ which can be observed in Planck,

LiteBIRD and next-generation PRISM, PIXIE,CORE, CMB-S4 and CMB-HD experiments

that are gearing up to measure it. In addition to it, we present the parametric

space and benchmark points in a non-minimal case which is consistent with

modified swampland and trans-Planckian censorship conjectures.

This study revisits supersymmetric (SUSY) hybrid inflation in light of CMB experiments and swampland conjectures. We first show that if one adds radiative, soft mass, and SUGRA corrections to the scalar potential, supersymmetric hybrid inflation is still consistent with Planck 2018 and LiteBIRD 2023 despite an impression that it does not.

Usually, in SUSY hybrid inflation with minimal K”ahler potential, the gauge symmetry breaking scale $M$ turns out to be ${cal O}(10^{15})$ GeV, which causes proton decay rate problem. In this study, we present a new parameter space where the proton decay rate problem can be avoided by achieving $M$ of the order of ^{16}$ GeV with $M_{S}^{2}<<0 and $am_{3/2}>>0. In this scenario, one requires a soft SUSY breaking scale $|M_{S}| gtrsim 10^{6}$ GeV.

Moreover, the tensor to scalar ratio $r$ is in the range ^{-16}$ to ^{-6}$, which is quite small. In this case, modified swampland hold, but it difficult to satisfied trans-Planckian censorship conjecture. For this reason, we also consider non-minimal K”ahler potential.

We fixed spectral index $n_{S}=[openai_gpt model=”gpt-3.5-turbo-16k” max_tokens=”3000″ temperature=”1″ prompt=”Examine the conclusions of the following text and outline a future roadmap for readers, indicating potential challenges and opportunities on the horizon. The article should be formatted as a standalone HTML content block, suitable for embedding in a WordPress post. Use only the following HTML tags:

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experiments and swampland conjectures. We first show that if one adds

radiative, soft mass, and SUGRA corrections to the scalar potential,

supersymmetric hybrid inflation is still consistent with Planck 2018 and

LiteBIRD 2023 despite an impression that it does not. Usually, in SUSY hybrid

inflation with minimal K”ahler potential, the gauge symmetry breaking scale

$M$ turns out to be ${cal O}(10^{15})$ GeV, which causes proton decay rate

problem. In this study, we present a new parameter space where the proton decay

rate problem can be avoided by achieving $M$ of the order of $10^{16}$ GeV with

$M_{S}^{2}<$0 and $am_{3/2}>$0. In this scenario, one requires a soft SUSY

breaking scale $|M_{S}| gtrsim 10^{6}$ GeV. Moreover, the tensor to scalar

ratio $r$ is in the range $10^{-16}$ to $10^{-6}$, which is quite small. In

this case, modified swampland hold, but it difficult to satisfied

trans-Planckian censorship conjecture. For this reason, we also consider

non-minimal K”ahler potential. We fixed spectral index $n_{S}=$0.9665 (central

value) of Planck 2018 data and $M=2times 10^{16}$ GeV and present our

calculations. We show the canonical measure of primordial gravity waves $r$ for

$M_{S}=$ 1 TeV, $m_{3/2}=$ 1 TeV, $kappa_{S}<0$ for $cal{N}=$1 and

$cal{N}=$2, ranges from $10^{-5}$ to $0.01$ which can be observed in Planck,

LiteBIRD and next-generation PRISM, PIXIE,CORE, CMB-S4 and CMB-HD experiments

that are gearing up to measure it. In addition to it, we present the parametric

space and benchmark points in a non-minimal case which is consistent with

modified swampland and trans-Planckian censorship conjectures.”].9665 (central value) of Planck 2018 data and $M=2times 10^{16}$ GeV and present our calculations. We show the canonical measure of primordial gravity waves $r$ for $M_{S}=$ 1 TeV, $m_{3/2}=$ 1 TeV, $kappa_{S}<<,

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. Exclude all other HTML tags, including those for page structure: This study revisits supersymmetric (SUSY) hybrid inflation in light of CMB

experiments and swampland conjectures. We first show that if one adds

radiative, soft mass, and SUGRA corrections to the scalar potential,

supersymmetric hybrid inflation is still consistent with Planck 2018 and

LiteBIRD 2023 despite an impression that it does not. Usually, in SUSY hybrid

inflation with minimal K”ahler potential, the gauge symmetry breaking scale

$M$ turns out to be ${cal O}(10^{15})$ GeV, which causes proton decay rate

problem. In this study, we present a new parameter space where the proton decay

rate problem can be avoided by achieving $M$ of the order of $10^{16}$ GeV with

$M_{S}^{2}<$0 and $am_{3/2}>$0. In this scenario, one requires a soft SUSY

breaking scale $|M_{S}| gtrsim 10^{6}$ GeV. Moreover, the tensor to scalar

ratio $r$ is in the range $10^{-16}$ to $10^{-6}$, which is quite small. In

this case, modified swampland hold, but it difficult to satisfied

trans-Planckian censorship conjecture. For this reason, we also consider

non-minimal K”ahler potential. We fixed spectral index $n_{S}=$0.9665 (central

value) of Planck 2018 data and $M=2times 10^{16}$ GeV and present our

calculations. We show the canonical measure of primordial gravity waves $r$ for

$M_{S}=$ 1 TeV, $m_{3/2}=$ 1 TeV, $kappa_{S}<0$ for $cal{N}=$1 and

$cal{N}=$2, ranges from $10^{-5}$ to $0.01$ which can be observed in Planck,

LiteBIRD and next-generation PRISM, PIXIE,CORE, CMB-S4 and CMB-HD experiments

that are gearing up to measure it. In addition to it, we present the parametric

space and benchmark points in a non-minimal case which is consistent with

modified swampland and trans-Planckian censorship conjectures.”].01$ which can be observed in Planck, LiteBIRD and next-generation PRISM, PIXIE,CORE, CMB-S4 and CMB-HD experiments that are gearing up to measure it.In addition to it, we present the parametric space and benchmark points in a non-minimal case which is consistent with modified swampland and trans-Planckian censorship conjectures.

## Future Roadmap

### Challenges:

- Proton decay rate problem due to the gauge symmetry breaking scale $M$ in SUSY hybrid inflation with minimal K”ahler potential.
- Difficulty in satisfying the trans-Planckian censorship conjecture when considering the modified swampland.

### Opportunities:

- Exploring a new parameter space where the proton decay rate problem can be avoided by achieving a higher gauge symmetry breaking scale $M$.
- Considering non-minimal K”ahler potential to address the challenges posed by the trans-Planckian censorship conjecture.
- Measuring the tensor to scalar ratio $r$ in the range of ^{-16}$ to ^{-6}$ using upcoming experiments such as Planck, LiteBIRD, PRISM, PIXIE, CORE, CMB-S4, and CMB-HD.

Further research is needed to fully understand the implications of these findings and to explore additional parameter spaces that may address the challenges posed by the proton decay rate problem and the trans-Planckian censorship conjecture.

Reference: [Insert Reference]

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