Abstract
We investigate the tree-level inflation potential within the framework of standard cosmology. Focusing on three branches of the potential, we analyze how the different inflationary perturbation parameters show compatibility with recent Planck observations. We examine the reheating parameters within the framework of the standard cosmology and provide constraints to reheating temperature \(T_{re}\) and duration \(N_{re}\) according to recent data.
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References
Liddle, A.R., Lyth, D.H.: Cosmological inflation and large-scale structure. Cambridge University Press (2000)
Antusch, S., Nolde, D.: BICEP2 implications for single-field slow-roll inflation revisited. Journal of Cosmology and Astroparticle Physics 2014(05), 035 (2014)
Kobayashi, T., Seto, O.: Polynomial inflation models after BICEP2. Physical Review D 89(10), 103524 (2014)
El Bourakadi, K., et al.: Primordial black holes and gravitational waves in teleparallel Gravity. The European Physical Journal C 82(9), 1–11 (2022)
Koussour, M., El Bourakadi, K., Shekh, S.H., Pacif, S.K.J., Bennai, M.: Late-time acceleration in \({f (Q)}\) gravity: Analysis and constraints in an anisotropic background. Annals of Physics 445, 169092 (2022)
Bousder, M., El Bourakadi, K., Bennai, M.: Charged 4D Einstein-Gauss-Bonnet black hole: Vacuum solutions, Cauchy horizon, thermodynamics. Physics of the Dark Universe 32, 100839 (2021)
Bourakadi, K. E., Koussour, M., Otalora, G., Bennai, M., & Ouali, T. (2023). Constant-roll and primordial black holes in f (Q, T) gravity. arXiv preprint http://arxiv.org/abs/2301.03696arXiv:2301.03696
Rehman, M.U., Shafi, Q., Wickman, J.R.: GUT inflation and proton decay after WMAP5 data. Physical Review D 78(12), 123516 (2008)
Rehman, M.U., Shafi, Q.: Higgs inflation, quantum smearing, and the tensor to scalar ratio. Physical Review D 81(12), 123525 (2010)
Okada, N., Şenoğuz, V. N., & Shafi, Q. (2016). The observational status of simple inflationary models: an update. Turkish Journal of Physics, 40(2), 150-162
Guth, A.H., Weinberg, E.J.: Cosmological consequences of a first-order phase transition in the \(SU(5)\) grand unified model. Physical Review D 23(4), 876 (1981)
Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., ... & Spencer, L. D. (2020). Planck 2018 results-V. CMB power spectra and likelihoods. Astronomy & Astrophysics, 641, A5
Brax, P., van de Bruck, C., Davis, A.C.: Brane world cosmology. Reports on Progress in Physics 67(12), 2183 (2004)
Langlois, D.: Brane cosmology. Progress of Theoretical Physics Supplement 148, 181–212 (2002)
Shtanov, Y., Traschen, J., Brandenberger, R.: Universe reheating after inflation. Physical Review D 51(10), 5438 (1995)
Bassett, B.A., Tsujikawa, S., Wands, D.: Inflation dynamics and reheating. Reviews of Modern Physics 78(2), 537 (2006)
Mardon, J., Nomura, Y., Thaler, J.: Cosmic signals from the hidden sector. Physical Review D 80(3), 035013 (2009)
Khlopov, M.Y., Barrau, A., Grain, J.: Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early universe. Classical and Quantum Gravity 23(6), 1875 (2006)
Mielczarek, J.: Reheating temperature from the CMB. Physical Review D 83(2), 023502 (2011)
El Bourakadi, K., Ferricha-Alami, M., Filali, H., Sakhi, Z., Bennai, M.: Gravitational waves from preheating in Gauss-Bonnet inflation. The European Physical Journal C 81(12), 1–8 (2021)
Bourakadi, K. E., Sakhi, Z., & Bennai, M. (2022). Preheating constraints in\(\alpha \)attractor inflation and Gravitational Waves production. arXiv preprint http://arxiv.org/abs/2209.09241arXiv:2209.09241
Albrecht, A., Steinhardt, P.J., Turner, M.S., Wilczek, F.: Reheating an inflationary universe. Physical Review Letters 48(20), 1437 (1982)
Allahverdi, R., Brandenberger, R., & Cyr-Racine, F. Y. (2010). Mazumdar, A2010ARNPS. 60.27 A. vol. 60. Annu. Rev. Nucl. Part. Sci, 27
Kolb, E.W., Notari, A., Riotto, A.: Reheating stage after inflation. Physical Review D 68(12), 123505 (2003)
Sakhi, Z., El Bourakadi, K., Safsafi, A., Ferricha-Alami, M., Chakir, H., Bennai, M.: Effect of brane tension on reheating parameters in small field inflation according to Planck-2018 data. International Journal of Modern Physics A 35(30), 2050191 (2020)
Ferricha-Alami, M., Mounzi, Z., Jdair, O., Naciri, M., Bennai, M., Chakir, H.: Randall-Sundrum II model from small field inflation in light of planck data and reheating temperature. Moscow University Physics Bulletin 72, 425–432 (2017)
Ferricha-Alami, M., Jdair, O., Chakir, H., Bennai, M.: Logarithmic Potential Braneworld in Light of the Recent Experiment Observation. Revista Cubana de Física 35(2), 86–90 (2018)
Khay, I., Salamate, F., Ferricha-Alami, M., Chakir, H., Bennai, M.: Reheating from F-term inflation on brane and gravitino abundance. The European Physical Journal Plus 134(10), 498 (2019)
Dai, L., Kamionkowski, M., Wang, J.: Reheating constraints to inflationary models. Physical review letters 113(4), 041302 (2014)
Munoz, J.B., Kamionkowski, M.: Equation-of-state parameter for reheating. Physical Review D 91(4), 043521 (2015)
Bourakadi, K. E. (2022). Hubble tension and Reheating: Hybrid Inflation Implications. arXiv preprint http://arxiv.org/abs/2208.01162arXiv:2208.01162
Bourakadi, K. E. (2021). Preheating and Reheating after Standard Inflation. arXiv preprint http://arxiv.org/abs/2104.10552arXiv:2104.10552
Schwarz, D.J., Terrero-Escalante, C.A., García, A.A.: Higher order corrections to primordial spectra from cosmological inflation. Physics Letters B 517(3–4), 243–249 (2001)
Kallosh, R., Linde, A.: Testing string theory with cosmic microwave background. Journal of Cosmology and Astroparticle Physics 2007(04), 017 (2007)
Ferricha-Alami, M., Safsafi, A., Lahlou, L., Chakir, H., Bennai, M.: Tree Level Potential on Brane after Planck and BICEP2. Journal of Astrophysics and Astronomy 36(2), 269–280 (2015)
Traschen, J.H., Brandenberger, R.H.: Particle production during out-of-equilibrium phase transitions. Physical Review D 42(8), 2491 (1990)
Monteux, A., Shin, C.S.: Thermal Goldstino production with low reheating temperatures. Physical Review D 92(3), 035002 (2015)
Munoz, J.B., Kamionkowski, M.: Equation-of-state parameter for reheating. Physical Review D 91(4), 043521 (2015)
Benetti, M., Graef, L.L., Vagnozzi, S.: Primordial gravitational waves from NANOGrav: A broken power-law approach. Physical Review D 105(4), 043520 (2022)
Dodelson, S., Hui, L.: Horizon ratio bound for inflationary fluctuations. Physical review letters 91(13), 131301 (2003)
Martin, J., Ringeval, C.: First CMB constraints on the inflationary reheating temperature. Physical Review D 82(2), 023511 (2010)
Adshead, P., Easther, R., Pritchard, J., Loeb, A.: Inflation and the scale dependent spectral index: prospects and strategies. Journal of Cosmology and Astroparticle Physics 2011(02), 021 (2011)
Mielczarek, J.: Reheating temperature from the CMB. Physical Review D 83(2), 023502 (2011)
Easther, R., & Peiris, H. V. (2012). Bayesian analysis of inflation. II. Model selection and constraints on reheating. Physical Review D, 85(10), 103533
Creminelli, P., Nacir, D.L., Simonovi’c, M., Trevisan, G., Zaldarriaga, M.: \(\phi ^{2}\) inflation at its endpoint. Physical Review D 90(8), 083513 (2014)
El Bourakadi, K., Bousder, M., Sakhi, Z., Bennai, M.: Preheating and reheating constraints in supersymmetric braneworld inflation. The European Physical Journal Plus 136(8), 1–19 (2021)
Cook, J.L., Dimastrogiovanni, E., Easson, D.A., Krauss, L.M.: (2015), Reheating predictions in single field inflation. J. Cosmol. Astropart. Phys. 04, 047 (2015)
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K. El Bourakadi, M. Ferricha-Alami, Z. Sakhi, and M. Bennai contributed equally to this work.
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Hanin, A., El Bourakadi, K., Ferricha-Alami, M. et al. Reheating Mechanism from Tree Level Potential in Standard Cosmology. Int J Theor Phys 62, 143 (2023). https://doi.org/10.1007/s10773-023-05364-2
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DOI: https://doi.org/10.1007/s10773-023-05364-2