Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter

Rui-Yun Guo; Jing-Fei Zhang; Xin Zhang

doi:10.1088/1674-1137/42/9/095103

Chinese Physics C> 2018, Vol. 42> Issue(9) : 095103 DOI: 10.1088/1674-1137/42/9/095103

Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter

1.
Department of Physics, College of Sciences, Northeastern University, Shenyang 110819, China
2.
Department of Physics, College of Sciences, Northeastern University, Shenyang 110819, China
3.
Center for High Energy Physics, Peking University, Beijing 100080, China

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Abstract：
We investigate the constraints on total neutrino mass in the scenario of vacuum energy interacting with cold dark matter. We focus on two typical interaction forms, i.e., Q=βHρ_c and Q=βHρ_∧. To avoid the occurrence of large-scale instability in interacting dark energy cosmology, we adopt the parameterized post-Friedmann approach to calculate the perturbation evolution of dark energy. We employ observational data, including the Planck cosmic microwave background temperature and polarization data, baryon acoustic oscillation data, a JLA sample of type Ia supernovae observation, direct measurement of the Hubble constant, and redshift space distortion data. We find that, compared with those in the ∧CDM model, much looser constraints on ∑m_ν are obtained in the Q=βHρ_c model, whereas slightly tighter constraints are obtained in the Q=βHρ_∧ model. Consideration of the possible mass hierarchies of neutrinos reveals that the smallest upper limit of ∑m_ν appears in the degenerate hierarchy case. By comparing the values of χ_min², we find that the normal hierarchy case is favored over the inverted one. In particular, we find that the difference △χ_min² ≡ χ_{IH; min}²-χ_{NH; min}² > 2 in the Q=βHρ_c model. In addition, we find that β=0 is consistent with the current observations in the Q=βHρ_c model, and β < 0 is favored at more than the 1σ level in the Q=βHρ_∧ model.
- interacting dark energy ,
- neutrino mass ,
- mass hierarchy of neutrinos ,
- parameterized post-Friedmann approach ,
- cosmological observations

References

[1]	J. Lesgourgues and S. Pastor, Phys. Rept., 429:307 (2006)
[2]	K. A. Olive et al (Particle Data Group), Chin. Phys. C, 38:090001 (2014)
[3]	A. Osipowicz et al (KATRIN Collaboration), hep-ex/0109033
[4]	C. Kraus et al, Eur. Phys. J. C, 40:447 (2005)
[5]	E. W. Otten and C. Weinheimer, Rept. Prog. Phys., 71:086201 (2008)
[6]	J. Wolf (KATRIN Collaboration), Nucl. Instrum. Meth. A, 623:442 (2010)
[7]	H. V. Klapdor-Kleingrothaus and U. Sarkar, Mod. Phys. Lett. A, 16:2469 (2001)
[8]	H. V. Klapdor-Kleingrothaus, I. V. Krivosheina, A. Dietz, and O. Chkvorets, Phys. Lett. B, 586:198 (2004)
[9]	S. Betts et al, arXiv:1307.4738[astro-ph.IM]
[10]	J. Zhang and S. Zhou, Nucl. Phys. B, 903:211 (2016)
[11]	G. Y. Huang and S. Zhou, Phys. Rev. D, 94(11):116009 (2016)
[12]	J. Zhang and X. Zhang, Nature Commun., 9:1833 (2018)
[13]	M. M. Zhao, Y. H. Li, J. F. Zhang, and X. Zhang, Mon. Not. Roy. Astron. Soc., 469(2):1713 (2017)
[14]	X. Zhang, Phys. Rev. D, 93(8):083011 (2016)
[15]	W. Hu, D. J. Eisenstein, and M. Tegmark, Phys. Rev. Lett., 80:5255 (1998)
[16]	B. A. Reid, L. Verde, R. Jimenez, and O. Mena, JCAP, 1001:003 (2010)
[17]	S. A. Thomas, F. B. Abdalla, and O. Lahav, Phys. Rev. Lett., 105:031301 (2010)
[18]	C. Carbone, L. Verde, Y. Wang, and A. Cimatti, JCAP, 1103:030 (2011)
[19]	H. Li and X. Zhang, Phys. Lett. B, 713:160 (2012)
[20]	Y. H. Li, S. Wang, X. D. Li, and X. Zhang, JCAP, 1302:033 (2013)
[21]	B. Audren, J. Lesgourgues, S. Bird, M. G. Haehnelt, and M. Viel, JCAP, 1301:026 (2013)
[22]	S. Riemer-Srensen, D. Parkinson, and T. M. Davis, Phys. Rev. D, 89:103505 (2014)
[23]	A. Font-Ribera, P. McDonald, N. Mostek, B. A. Reid, H. J. Seo, and A. Slosar, JCAP, 1405:023 (2014)
[24]	J. F. Zhang, Y. H. Li, and X. Zhang, Phys. Lett. B, 740:359 (2015)
[25]	J. F. Zhang, Y. H. Li, and X. Zhang, Eur. Phys. J. C, 74:2954 (2014)
[26]	J. F. Zhang, J. J. Geng, and X. Zhang, JCAP, 1410:no. 10,044 (2014)
[27]	N. Palanque-Delabrouille et al, JCAP, 1502(2):045 (2015)
[28]	C. Q. Geng, C. C. Lee, and J. L. Shen, Phys. Lett. B, 740:285 (2015)
[29]	Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Lett. B, 744:213 (2015)
[30]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13 (2016)
[31]	J. F. Zhang, M. M. Zhao, Y. H. Li, and X. Zhang, JCAP, 1504:038 (2015)
[32]	C. Q. Geng, C. C. Lee, R. Myrzakulov, M. Sami, and E. N. Saridakis, JCAP, 1601(01):049 (2016)
[33]	Y. Chen and L. Xu, Phys. Lett. B, 752:66 (2016)
[34]	R. Allison, P. Caucal, E. Calabrese, J. Dunkley, and T. Louis, Phys. Rev. D, 92:no. 12, 123535 (2015)
[35]	A. J. Cuesta, V. Niro, and L. Verde, Phys. Dark Univ., 13:77 (2016)
[36]	Y. Chen, B. Ratra, M. Biesiada, S. Li, and Z. H. Zhu, Astrophys. J., 829(2):61 (2016)
[37]	M. Moresco, R. Jimenez, L. Verde, A. Cimatti, L. Pozzetti, C. Maraston, and D. Thomas, JCAP, 1612(12):039 (2016)
[38]	J. Lu, M. Liu, Y. Wu, Y. Wang, and W. Yang, Eur. Phys. J. C, 76(12):679 (2016)
[39]	S. Kumar and R. C. Nunes, Phys. Rev. D, 94(12):123511 (2016)
[40]	L. Xu and Q. G. Huang, Sci. China Phys. Mech. Astron., 61(3):039521 (2018)
[41]	S. Vagnozzi, E. Giusarma, O. Mena, K. Freese, M. Gerbino, S. Ho, and M. Lattanzi, Phys. Rev. D, 96(12):123503 (2017)
[42]	X. Zhang, Sci. China Phys. Mech. Astron., 60(6):060431 (2017)
[43]	C. S. Lorenz, E. Calabrese, and D. Alonso, Phys. Rev. D, 96(4):043510 (2017)
[44]	M. M. Zhao, J. F. Zhang, and X. Zhang, Phys. Lett. B, 779:473 (2018)
[45]	S. Vagnozzi, S. Dhawan, M. Gerbino, K. Freese, A. Goobar, and O. Mena, arXiv:1801.08553[astro-ph.CO]
[46]	L. F. Wang, X. N. Zhang, J. F. Zhang, and X. Zhang, Phys. Lett. B, 782:87 (2018)
[47]	Q. G. Huang, K. Wang, and S. Wang, Eur. Phys. J. C, 76(9):489 (2016)
[48]	S. Wang, Y. F. Wang, D. M. Xia, and X. Zhang, Phys. Rev. D, 94(8):083519 (2016)
[49]	W. Yang, R. C. Nunes, S. Pan, and D. F. Mota, Phys. Rev. D, 95(10):103522 (2017)
[50]	R. Y. Guo, Y. H. Li, J. F. Zhang, and X. Zhang, JCAP, 1705(05):040 (2017)
[51]	L. Amendola, Phys. Rev. D, 62:043511 (2000)
[52]	L. Amendola and D. Tocchini-Valentini, Phys. Rev. D, 66:043528 (2002)
[53]	D. Comelli, M. Pietroni, and A. Riotto, Phys. Lett. B, 571:115 (2003)
[54]	R. G. Cai and A. Wang, JCAP, 0503:002 (2005)
[55]	X. Zhang, Mod. Phys. Lett. A, 20:2575 (2005)
[56]	W. Zimdahl, Int. J. Mod. Phys. D, 14:2319 (2005)
[57]	X. Zhang, F. Q. Wu, and J. Zhang, JCAP, 0601:003 (2006)
[58]	B. Wang, J. Zang, C. Y. Lin, E. Abdalla, and S. Micheletti, Nucl. Phys. B, 778:69 (2007)
[59]	Z. K. Guo, N. Ohta, and S. Tsujikawa, Phys. Rev. D, 76:023508 (2007)
[60]	O. Bertolami, F. Gil Pedro, and M. Le Delliou, Phys. Lett. B, 654:165 (2007)
[61]	J. Zhang, H. Liu, and X. Zhang, Phys. Lett. B, 659:26 (2008)
[62]	C. G. Boehmer, G. Caldera-Cabral, R. Lazkoz, and R. Maartens, Phys. Rev. D, 78:023505 (2008)
[63]	J. Valiviita, E. Majerotto, and R. Maartens, JCAP, 0807:020 (2008)
[64]	J. H. He and B. Wang, JCAP, 0806:010 (2008)
[65]	J. H. He, B. Wang, and Y. P. Jing, JCAP, 0907:030 (2009)
[66]	J. H. He, B. Wang, and P. Zhang, Phys. Rev. D, 80:063530 (2009)
[67]	K. Koyama, R. Maartens, and Y. S. Song, JCAP, 0910:017 (2009)
[68]	J. Q. Xia, Phys. Rev. D, 80:103514 (2009)
[69]	M. Li, X. D. Li, S. Wang, Y. Wang, and X. Zhang, JCAP,0912:014 (2009)
[70]	L. Zhang, J. Cui, J. Zhang, and X. Zhang, Int. J. Mod. Phys. D, 19:21 (2010)
[71]	H. Wei, Commun. Theor. Phys., 56:972 (2011)
[72]	Y. Li, J. Ma, J. Cui, Z. Wang, and X. Zhang, Sci. China Phys. Mech. Astron., 54:1367 (2011)
[73]	J. H. He, B. Wang, and E. Abdalla, Phys. Rev. D, 83:063515 (2011)
[74]	Y. H. Li and X. Zhang, Eur. Phys. J. C, 71:1700 (2011)
[75]	T. F. Fu, J. F. Zhang, J. Q. Chen, and X. Zhang, Eur. Phys. J. C, 72:1932 (2012)
[76]	Z. Zhang, S. Li, X. D. Li, X. Zhang, and M. Li, JCAP, 1206:009 (2012)
[77]	J. Zhang, L. Zhao, and X. Zhang, Sci. China Phys. Mech. Astron., 57:387 (2014)
[78]	Y. H. Li and X. Zhang, Phys. Rev. D, 89(8):083009 (2014)
[79]	J. J. Geng, Y. H. Li, J. F. Zhang, and X. Zhang, Eur. Phys. J. C, 75(8):356 (2015)
[80]	J. L. Cui, L. Yin, L. F. Wang, Y. H. Li, and X. Zhang, JCAP, 1509(09):024 (2015)
[81]	R. Murgia, S. Gariazzo, and N. Fornengo, JCAP, 1604:no. 04, 014 (2016)
[82]	J. Sol U, A. Gmez-Valent, and J. de Cruz Prez, Astrophys. J., 836(1):43 (2017)
[83]	B. Wang, E. Abdalla, F. Atrio-Barandela, and D. Pavon, Rept. Prog. Phys., 79(9):096901 (2016)
[84]	A. Pourtsidou and T. Tram, Phys. Rev. D, 94(4):043518 (2016)
[85]	A. A. Costa, X. D. Xu, B. Wang, and E. Abdalla, JCAP, 1701(01):028 (2017)
[86]	J. Sola, J. de Cruz PWrez, A. Gomez-Valent, and R. C. Nunes, arXiv:1606.00450[gr-qc]
[87]	L. Feng and X. Zhang, JCAP, 1608(08):072 (2016)
[88]	D. M. Xia and S. Wang, Mon. Not. Roy. Astron. Soc., 463:952 (2016)
[89]	C. van de Bruck, J. Mifsud, and J. Morrice, Phys. Rev. D, 95(4):043513 (2017)
[90]	J. Sola, Int. J. Mod. Phys. A, 31(23):1630035 (2016)
[91]	S. Kumar and R. C. Nunes, Phys. Rev. D, 96(10):103511 (2017)
[92]	J. Sola, J. d. C. Perez, and A. Gomez-Valent, arXiv:1703.08218[astro-ph.CO]
[93]	V. Salvatelli, N. Said, M. Bruni, A. Melchiorri, and D. Wands, Phys. Rev. Lett., 113(18):181301 (2014)
[94]	L. Feng, J. F. Zhang, and X. Zhang, arXiv:1712.03148[astroph.CO]
[95]	A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden and M. Manera, Mon. Not. Roy. Astron. Soc., 449(1):835 (2015)
[96]	F. Beutler et al, Mon. Not. Roy. Astron. Soc., 416:3017 (2011)
[97]	L. Anderson et al (BOSS Collaboration), Mon. Not. Roy. Astron. Soc., 441(1):24 (2014)
[98]	M. Betoule et al (SDSS Collaboration), Astron. Astrophys., 568:A22 (2014)
[99]	A. G. Riess et al, Astrophys. J., 826(1):56 (2016)
[100]	H. Gil-Mar[n, W. J. Percival, L. Verde, J. R. Brownstein, C. H. Chuang, F. S. Kitaura, S. A. Rodr[guez-Torres, and M. D. Olmstead, Mon. Not. Roy. Astron. Soc., 465(2):1757 (2017)
[101]	E. Di Valentino and F. R. Bouchet, JCAP, 1610(10):011 (2016)
[102]	X. Zhang, Sci. China Phys. Mech. Astron., 60(6):060421 (2017)
[103]	M. Benetti, L. L. Graef, and J. S. Alcaniz, JCAP, 1704(04):003 (2017)
[104]	R. Y. Guo and X. Zhang, Eur. Phys. J. C, 77(12):882 (2017)
[105]	R. Y. Guo, L. Zhang, J. F. Zhang, and X. Zhang, arXiv:1801.02187[astro-ph.CO]
[106]	P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A14 (2016)
[107]	Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 90(6):063005 (2014)
[108]	Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 90(12):123007 (2014)
[109]	Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 93(2):023002 (2016)
[110]	X. Zhang, Sci. China Phys. Mech. Astron., 60(5):050431 (2017)
[111]	A. Lewis and S. Bridle, Phys. Rev. D, 66:103511 (2002)

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Rui-Yun Guo, Jing-Fei Zhang and Xin Zhang. Exploring neutrino mass and mass hierarchy in the scenario of vacuum energy interacting with cold dark matter[J]. Chinese Physics C, 2018, 42(9): 095103. doi: 10.1088/1674-1137/42/9/095103

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Received: 2018-03-30
Revised: 2018-06-15

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Supported by National Natural Science Foundation of China (11522540, 11690021), the Top-Notch Young Talents Program of China and the Provincial Department of Education of Liaoning (L2012087)

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