Numerical analysis of inflationary α-attractor models
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| author | Saumo, Masuk Ridwan Mahbub, Rafid |
| author_facet | Saumo, Masuk Ridwan Mahbub, Rafid |
| contents | <h3>ICTP Physics Without Frontiers (PWF)<br>Physics for Bangladesh – Online Summer Internship <br><a href="https://indico.ictp.it/event/11042">PWF Bangladesh: Summer Internship Program (1 July 2025 - 30 September 2025)</a></h3> <p><strong>Project:</strong> <em>Numerical analysis of inflationary α-attractor models</em></p> <p><strong>Intern: </strong>Masuk Ridwan Saumo, BSc. in Electrical and Electronic Engineering,Bangladesh University of Engineering and Technology</p> <p><strong>Supervisor:</strong> Rafid Mahbub, Ph.D., DataKind</p> <p><strong>Internship Period: </strong>15 July 2025 – 15 October 2025</p> <p><strong>Abstract:</strong></p> <p>We study the inflationary dynamics of α-attractor models, focusing on both E- and T-model potentials. These models provide a unified framework encompassing a wide class of inflationary scenarios whose predictions converge toward the quadratic and Starobinsky limits. The background dynamics are investigated by numerically solving the Klein–Gordon and Friedmann equations under suitable dimensionless parametrizations. We then analyze the evolution of the Hubble slow-roll parameters, e-fold number, and related inflationary observables such as the scalar spectral index n_s and tensor-to-scalar ratio r. These are required to be consistent with observational constraints.</p> <p>Furthermore, we numerically integrate the Mukhanov–Sasaki equations for scalar and tensor perturbations to obtain the primordial power spectra and compare them with slow-roll approximations. For the E-model, we examine the Starobinsky potential (n = 1, λ_E = sqrt(2/3)) and its generalizations for n = 2, 3. For the T-model, we explore both the quadratic limit (n = 1, λ_T = 10^−4) and the effect of varying n with constant λ_T = 0.5. The resulting predictions for (n_s, r) are compared with the latest Planck 2018 [1] and BICEP/Keck [2] constraints, showing excellent agreement within observational bounds.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17791667 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Numerical analysis of inflationary α-attractor models Saumo, Masuk Ridwan Mahbub, Rafid inflation cosmology α-attractor slow-roll Friedmann Klein-Gordon Mukhanov-Sasaki background modelling quantum fluctuations <h3>ICTP Physics Without Frontiers (PWF)<br>Physics for Bangladesh – Online Summer Internship <br><a href="https://indico.ictp.it/event/11042">PWF Bangladesh: Summer Internship Program (1 July 2025 - 30 September 2025)</a></h3> <p><strong>Project:</strong> <em>Numerical analysis of inflationary α-attractor models</em></p> <p><strong>Intern: </strong>Masuk Ridwan Saumo, BSc. in Electrical and Electronic Engineering,Bangladesh University of Engineering and Technology</p> <p><strong>Supervisor:</strong> Rafid Mahbub, Ph.D., DataKind</p> <p><strong>Internship Period: </strong>15 July 2025 – 15 October 2025</p> <p><strong>Abstract:</strong></p> <p>We study the inflationary dynamics of α-attractor models, focusing on both E- and T-model potentials. These models provide a unified framework encompassing a wide class of inflationary scenarios whose predictions converge toward the quadratic and Starobinsky limits. The background dynamics are investigated by numerically solving the Klein–Gordon and Friedmann equations under suitable dimensionless parametrizations. We then analyze the evolution of the Hubble slow-roll parameters, e-fold number, and related inflationary observables such as the scalar spectral index n_s and tensor-to-scalar ratio r. These are required to be consistent with observational constraints.</p> <p>Furthermore, we numerically integrate the Mukhanov–Sasaki equations for scalar and tensor perturbations to obtain the primordial power spectra and compare them with slow-roll approximations. For the E-model, we examine the Starobinsky potential (n = 1, λ_E = sqrt(2/3)) and its generalizations for n = 2, 3. For the T-model, we explore both the quadratic limit (n = 1, λ_T = 10^−4) and the effect of varying n with constant λ_T = 0.5. The resulting predictions for (n_s, r) are compared with the latest Planck 2018 [1] and BICEP/Keck [2] constraints, showing excellent agreement within observational bounds.</p> |
| title | Numerical analysis of inflationary α-attractor models |
| topic | inflation cosmology α-attractor slow-roll Friedmann Klein-Gordon Mukhanov-Sasaki background modelling quantum fluctuations |
| url | https://doi.org/10.5281/zenodo.17791667 |