Tension Reduction between Planck data and LSS by Dynamical Dark Energy Model

Document Type : Original Scientific Paper


1 Department of Physics, University of Kashan,Kashan, I. R. Iran

2 Ibn-Sina Laboratory, Shahid Beheshti University, Velenjak, Tehran 19839, Iran

3 Department of Physics, Shahid Beheshti University, Velenjak, Tehran 19839, Iran


In this paper, we consider the dynamical dark energy model (Feng model) to reveal the discrepancy between CMB and LSS data raised by ΛCDM model. In order to constrained free parameters, we utilize two combined sets namely the Planck TT 2015+Pol+BAO and the WL+RSD. We find that, there is a tension between the best fit values for both σ8 and H0 derived by the early and late time observations in the context of ΛCDM model, while the mentioned discrepancy is alleviated in the Feng model. Two dimensional likelihood analysis demonstrate that including dynamical dark energy model alleviates H0 − Ωm and σ8 − Ωm tension from 2σ to 1σ confidence level compared to that of given for ΛCDM. Besides these, the models satisfy fσ8 data in 0 < z < 0.4 redshift bin but for z > 0.4, the models behave differently rather than data for both data sets.


[1] J. Martin, Everything You Always Wanted To Know About The CosmologicalConstant Problem (But Were Afraid To Ask), Comptes Rendus Physique 13 (2012) 566 − 665.
[2] R. R. Caldwell and E. V. Linder, Limits of quintessence, Phys. Rev. Lett. 95 (2005) 141301.
[3] C. Armendariz-Picon, V. F. Mukhanov and P. J. Steinhardt, Essentials of k-essence, Phys. Rev. D 63 (2001) 103510.
[4] R. R. Caldwell, A phantom menace? Cosmological consequences of a dark energy component with super-negative equation of state, Phys. Lett. B 545 (2002) 23 − 29.
[5] L. Amendola, Coupled quintessence, Phys. Rev. D 62 (2000) 043511.
[6] J. S. Peracaula, J. d. Cruz Pérez and A. Gómez-Valent, Dynamical dark energy vs. Λ = const in light of observations, Europhysics Letters 121 (2018)043511.
[7] S. M. Carroll, V. Duvvuri, M. Trodden and M. S. Turner, Is cosmic speed up due to new gravitational physics?, Phys. Rev. D 70 (2004) 043528.
[8] S. Nojiri and S. D. Odintsov, Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration, Phys. Rev. D 68 (2003) 123512.
[9] L. Amendola, Scaling solutions in general nonminimal coupling theories, Phys. Rev. D 60 (1999) 043501.
[10] J. P. Uzan, Cosmological scaling solutions of nonminimally coupled scalar fields, Phys. Rev. D 59 (1999) 123510.
[11] P. S. Corasaniti, B. A. Bassett, C. Ungarelli and E. J. Copeland, Model independent dark energy differentiation with the ISW effect, Phys. Rev. Lett. 90 (2003) 091303.
[12] Y. S. Song and W. J. Percival, Reconstructing the history of structure formation using Redshift Distortions, JCAP 0910 (2009) 004.
[13] N. Kaiser, Clustering in real space and in redshift space, Mon. Not. Roy. Astron. Soc. 227 (1987) 1 − 21.
[14] D. Huterer and D. L. Shafer, Dark energy two decades after: Observables, probes, consistency tests, Rept. Prog. Phys. 81 (1) (2018) 016901.
[15] S. Basilakos, The growth index of matter perturbations using the clustering of dark energy, Mon. Not. Roy. Astron. Soc. 449 (2) (2015) 2151 − 2155.
[16] H. Hoekstra and B. Jain, Weak Gravitational Lensing and its Cosmological Applications, Ann. Rev. Nucl. Part. Sci. 58 (2008) 99 − 123.
[17] N. MacCrann, J. Zuntz, S. Bridle, B. Jain and M. R. Becker, Cosmic Discordance: Are Planck CMB and CFHTLenS weak lensing measurements out of tune?, Mon. Not. Roy. Astron. Soc. 451 (3) (2015) 2877 − 2888.
[18] R. A. Battye, T. Charnock and A. Moss, Tension between the power spectrum of density perturbations measured on large and small scales, Phys. Rev. D 91 (10) (2015) 103508.
[19] A. Gomez-Valent and J. Sola, Relaxing the σ8-tension through running vacuum in the Universe, EPL 120 (3) (2017) 39001.
[20] T. Charnock, R. A. Battye and A. Moss, Planck data versus large scale structure : Methods to quantify discordance, Phys. Rev. D 95 (12) (2017) 123535.
[21] J. Lesgourgues, G. Marques-Tavares and M. Schmaltz, Evidence for dark matter interactions in cosmological precision data?, JCAP 1602 (2) (2016) 037.
[22] T. Bringmann, F. Kahlhoefer, K. Schmidt-Hoberg and P. Walia, Converting nonrelativistic dark matter to radiation, Phys. Rev. D 98 (2) (2018) 023543.
[23] D. Sapone, M. Kunz and M. Kunz, Fingerprinting Dark Energy, Phys. Rev. D 80 (2009) 083519.
[24] C. P. Ma and E. Bertschinger, Cosmological perturbation theory in the synchronous and conformal Newtonian gauges, Astrophys. J. 455 (1995) 7 − 25.
[25] A. Meiksin and M. White The growth of correlations in the matter power spectrum, Mon. Not. Roy. Astron. Soc. 308 (1999) 1179.
[26] A. Pouri, S. Basilakos and M. Plionis, Precision growth index using the clustering of cosmic structures and growth data, JCAP 1408 (2014) 042.
[27] Coles, Peter, and Francesco Lucchin. Cosmology: The origin and evolution of cosmic structure. John Wiley and Sons, 2003.
[28] Y. S. Song and W. J. Percival, Reconstructing the history of structure formation using Redshift Distortions, JCAP 0910 (2009) 004.
[29] S. Nesseris and L. Perivolaropoulos, Comparison of the legacy and gold SNIa dataset constraints on dark energy models, Phys. Rev. D 72 (2005) 123519.
[30] C. J. Feng, X. Y. Shen, P. Li and X. Z. Li, A New Class of Parametrization for Dark Energy without Divergence, JCAP 1209 (2012) 023.
[31] A. Lewis and S. Bridle, Cosmological parameters from CMB and other data:A Monte Carlo approach, Phys. Rev. D 66 (10) (2002) 103511 − 103516.
[32] P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, N. Bartolo, E. Battaner, R. Battye, K. Benabed, A. Benoit, A. Benoit-Levy, J. -P. Bernard, M. Bersanelli, P. Bielewicz, J. J. Bock, A. Bonaldi, L. Bonavera, J. R. Bond, J. Borrill, F. R. Bouchet, F. Boulanger, M. Bucher, C. Burigana, R. C. Butler, E. Calabrese, J.-F. Cardoso, A. Catalano, A. Challinor, A. Chamballu, R. -R. Chary, H. C. Chiang, J. Chluba, P. R. Christensen, S. Church, D. L. Clements, S. Colombi, L. P. L. Colombo, C. Combet, A. Coulais, B. P. Crill, A. Curto, F. Cuttaia, L. Danese, R. D. Davies, R. J. Davis, P. de Bernardis, A. de Rosa, G. de Zotti, J. Delabrouille, F. -X. Desert, E. Di Valentino, C. Dickinson, J. M. Diego, K. Dolag, H. Dole, S. Donzelli, O. Dore, M. Douspis, A. Ducout, J. Dunkley, X. Dupac, G. Efstathiou, F. Elsner, T. A. Ensslin, H. K. Eriksen, M. Farhang, J. Fergusson, F. Finelli, O. Forni, M. Frailis, A. A. Fraisse, E. Franceschi, A. Frejsel, S. Galeotta, S. Galli, K. Ganga, C. Gauthier, M. Gerbino, T. Ghosh, M. Giard, Y. Giraud-Heraud, E. Giusarma, E. Gjerlow, J. Gonzalez-Nuevo, K. M. Gorski, S. Gratton, A. Gregorio, A. Gruppuso, J. E. Gudmundsson, J. Hamann, F. K. Hansen, D. Hanson, D. L. Harrison, G. Helou, S. Henrot-Versille , C. Hernandez-Monteagudo, D. Herranz, S. R. Hildebrandt, E. Hivon, M. Hobson, W. A. Holmes, A. Horn-strup, W. Hovest, Z. Huang, K. M. Huffenberger, G. Hurier, A. H. Jaffe, T. R. Jaffe, W. C. Jones, M. Juvela, E. Keihanen, R. Keskitalo, T. S. Kisner, R. Kneissl, J. Knoche, L. Knox, M. Kunz, H. Kurki-Suonio, G. Lagache, A. Lahteenmaki, J. -M. Lamarre, A. Lasenby, M. Lattanzi, C. R. Lawrence, J. P. Leahy, R. Leonardi, J. Lesgourgues, F. Levrier, A. Lewis, M. Liguori, P. B. Lilje, M. Linden-Vornle, M. Lopez-Caniego, P. M. Lubin, J. F. Macias-Perez, G. Maggio, D. Maino, N. Mandolesi, A. Mangilli, A. Marchini, P. G. Martin, M. Martinelli, E. Martinez-Gonzalez, S. Masi, S. Matarrese, P. Mazzotta, P. McGehee, P. R. Meinhold, A. Melchiorri, J. -B. Melin, L. Mendes, A. Mennella, M. Migliaccio, M. Millea, S. Mitra, M. -A. Miville-Deschenes, A. Moneti, L. Montier, G. Morgante, D. Mortlock, A. Moss, D. Munshi, J. A. Murphy, P. Naselsky, F. Nati, P. Natoli, C. B. Netterfield, H. U. Norgaard-Nielsen, F. Noviello, D. Novikov, I. Novikov, C. A. Oxborrow, F. Paci, L. Pagano, F. Pajot, R. Paladini, D. Paoletti, B. Partridge, F. Pasian, G. Patanchon, T. J. Pearson, O. Perdereau, L. Perotto, F. Perrotta, V. Pettorino, F. Piacentini, M. Piat, E. Pierpaoli, D. Pietrobon, S. Plaszczynski, E. Pointecouteau, G. Polenta, L. Popa, G. W. Pratt, G. Prezeau, S. Prunet, J. -L. Puget, J. P. Rachen, W. T. Reach, R. Rebolo, M. Reinecke, M. Remazeilles, C. Renault, A. Renzi, I. Ristorcelli, G. Rocha, C. Rosset, M. Rossetti, G. Roudier, B.Rouille d’Orfeuil, M. Rowan-Robinson, J. A. Rubino-Martin, B. Rusholme,N. Said, V. Salvatelli, L. Salvati, M. Sandri, D. Santos, M. Savelainen, G.Savini, D. Scott, M. D. Seiffert, P. Serra, E. P. S. Shellard, L. D. Spencer,M. Spinelli, V. Stolyarov, R. Stompor, R. Sudiwala, R. Sunyaev, D. Sutton,A. -S. Suur-Uski, J. -F. Sygnet, J. A. Tauber, L. Terenzi, L. Toffolatti, M.Tomasi, M. Tristram, T. Trombetti, M. Tucci, J. Tuovinen, M. Turler, G.Umana, L. Valenziano, J. Valiviita, B. Van Tent, P. Vielva, F. Villa, L. A.Wade, B. D. Wandelt, I. K. Wehus, M. White, S. D. M. White, A. Wilkin-son, D. Yvon, A. Zacchei, A. Zonca, Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13.
[33] F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Camp-bell, Q. Parker, W. Saunders, F. Watson, The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant, Mon. Not. Roy. Astron. Soc. 416 (2011) 3017 − 3032.
[34] A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden and M. Man-era, The clustering of the SDSS DR7 main Galaxy sample I. A 4 per cent distance measure at z = 0.15, Mon. Not. Roy. Astron. Soc. 449 (1) (2015) 835 − 847.
[35] L. Anderson, E. Aubourg, S. Bailey, F. Beutler, V. Bhardwaj, M. Blanton, A. S. Bolton, J. Brinkmann, J. R. Brownstein, A. Burden, C. -H. Chuang, A. J. Cuesta, K. S. Dawson, D. J. Eisenstein, S. Escoffier, J. E. Gunn, H. Guo, S. Ho, K. Honscheid, C. Howlett, D. Kirkby, R. H. Lupton, M. Manera, C. Maraston, C. K. McBride, O. Mena, F. Montesano, R. C. Nichol, S. E. Nuza, M. D. Olmstead, N. Padmanabhan, N. Palanque-Delabrouille, J. Parejko, W. J. Percival, P. Petitjean, F. Prada, A. M. Price-Whelan, B. Reid, N. A. Roe, A. J. Ross, N. P. Ross, C. G. Sabiu, S. Saito, L. Samushia, A. G. Sanchez, D. J. Schlegel, D. P. Schneider, C. G. Scoccola, H. -J. Seo, R. A. Skibba, M. A. Strauss, M. E. C. Swanson, D. Thomas, J. L. Tinker, R. Tojeiro, M. V. Magana, L. Verde, D. A. Wake, B. A. Weaver, D. H. Weinberg, M. White, X. Xu, C. Yeche, I. Zehavi, G, -B. Zhao, The clustering of galaxies in the SDSS- III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Releases 10 and 11 Galaxy samples, Mon. Not. Roy. Astron. Soc. 441 (1) (2014) 24 − 62.
[36] T. Erben, H. Hildebrandt, L. Miller, L. van Waerbeke, C. Heymans, H. Hoekstra, T. D. Kitching, Y. Mellier, J. Benjamin, C. Blake, C. Bonnett, O. Cordes, J. Coupon, L. Fu, R. Gavazzi, B. Gillis, E. Grocutt, S. D. J. Gwyn, K. Holhjem, M. J. Hudson, M. Kilbinger, K. Kuijken, M. Milkeraitis, B. T. P. Rowe, T. Schrabback, E. Semboloni, P. Simon, M. Smit, O. Toader, S. Vafaei, E. van Uitert, M. Velander, CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey, Mon. Not. Roy. Astron. Soc. 427 (2012) 146 − 166.
[37] L. Samushia, B. A. Reid, M. White, W. J. Percival, A. J. Cuesta, L. Lom briser, M. Manera, R. C. Nichol, D. P. Schneider, D. Bizyaev, H. Brewington, E. Malanushenko, V. Malanushenko, D. Oravetz, K. Pan, A. Simmons, A. Shelden, S. Snedden, J. L. Tinker, B. A. Weaver, D. G. York, G. -B. Zhao, The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spec troscopic Survey: Testing Deviations from Λ and General Relativity using anisotropic clustering of galaxies, Mon. Not. Roy. Astron. Soc. 429 (2013) 1514 − 1528.
[38] G. -B. Zhao, M. Raveri, L. Pogosian, Y. Wang, R. G. Crittenden, W. J. Handley, W. J. Percival, F. Beutler, J. Brinkmann, C. -H. Chuang, A. J. Cuesta, D. J. Eisenstein, F. -S. Kitaura, K. Koyama, B. L’Huillier, R. C. Nichol, M. M. Pieri, S. Rodriguez-Torres, A. J. Ross, G. Rossi, A. G. Sánchez, A. Shafieloo, J. L. Tinker, R. Tojeiro, J. A. Vazquez, H. Zhang, Dynamical dark energy in light of the latest observations, Nat. Astron. 1 (9) (2017) 627 − 632.
[39] J. Benjamin, L. V. Waerbeke, C. Heymans, M. Kilbinger, T. Erben, H. Hilde-brandt, H. Hoekstra, T. D. Kitching, Y. Mellier, L. Miller, B. Rowe, T. Schrabback, F. Simpson, J. Coupon, L. Fu, J. Harnois-Déraps, M. J. Hudson, K. Kuijken, E. Semboloni, S. Vafaei, M. Velander, CFHTLenS tomographic weak lensing: Quantifying accurate redshift distributions, Mon. Not. Roy. Astron. Soc. 431 (2013) 1547.
[40] C. Heymans, E. Grocutt, A. Heavens, M. Kilbinger, T. D. Kitching, F. Simpson, J. Benjamin, T.s Erben, H. Hildebrandt, H. Hoekstra, Y. Mellier, L. Miller, L. Van Waerbeke, M. L. Brown, J. Coupon, L. Fu, J. Harnois-Deraps, M. J. Hudson, K. Kuijken, B. Rowe, T. Schrabback, E. Semboloni, S. Vafaei, M. Velander, CFHTLenS tomographic weak lensing cosmological parameter constraints: Mitigating the impact of intrinsic galaxy alignments, Mon. Not. Roy. Astron. Soc. 432 (2013) 2433 − 2453.
[41] A. S. Ebrahimi, M. Monemzadeh and H. Moshafi, Are Cold Dynamical Dark Energy Models Distinguishable in the Light of the Data?, (2018).