\begin{document}$U(1)_{\rm B-L}$\end{document} gauge model. To achieve this, we added a scalar triplet, \begin{document}$ \Delta $\end{document}, to the canonical particle content of the \begin{document}$U(1)_{\rm B-L}$\end{document} gauge model. By imposing that the \begin{document}$U(1)_{\rm B-L}$\end{document} gauge symmetry be spontaneously broken at TeV scale, we show that the type II seesaw mechanism is realized at an intermediate energy scale, more precisely, at approximately \begin{document}$ 10^9 $\end{document} GeV. To prevent heavy right-handed neutrinos from disturbing the mechanism, we evoke a \begin{document}$ Z_2 $\end{document} discrete symmetry. Interestingly, as a result, we have standard neutrinos with mass around eV scale and right-handed neutrinos with mass in TeV scale, with the lightest one fulfilling the condition of dark matter. We developed all of these in this study. In addition, we show that the neutral component of \begin{document}$ \Delta $\end{document} may perform unproblematic non-minimal inflation with loss of unitarity."> Neutrino masses, cosmological inflation and dark matter in a variant <i>U</i>(1)<sub>B-L</sub> model with type II seesaw mechanism -
  • [1]

    C. Patrignaniet al. (Particle Data Group), Chin. Phys. C40, 100001 (2016)

  • [2]

    P. Minkowski, Phys. Lett. B67, 421 (1977)

  • [3]

    T. Yanagida, Conf. Proc. C7902131, 95 (1979)

  • [4]

    M. Gell-Mann, P. Ramond, and R. Slansky, Conf. Proc. C790927, 315 (1979), arXiv:1306.4669

  • [5]

    R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett.44, 912 (1980), [231 (1979)]

  • [6]

    J. Schechter and J. Valle, Phys. Rev. D22, 2227 (1980)

  • [7]

    S. M. Faber and J. S. Gallagher, Ann. Rev. Astron. Astrophys.17, 135 (1979)

  • [8]

    D. Clowe, M. Bradac, A. H. Gonzalezet al., Astrophys. J.648, L109 (2006), arXiv:astro-ph/0608407

  • [9]

    N. Aghanimet al. (Planck) (2018), arXiv: 1807.06209

  • [10]

    G. Jungman, M. Kamionkowski, and K. Griest, Phys. Rept.267, 195 (1996), arXiv:hepph/9506380

  • [11]

    G. Bertone, D. Hooper, and J. Silk, Phys. Rept.405, 279 (2005), arXiv:hep-ph/0404175

  • [12]

    A. H. Guth, Phys. Rev. D23, 347 (1981)

  • [13]

    A. D. Linde, Phys. Lett. B108, 389 (1982)

  • [14]

    A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett.48, 1220 (1982)

  • [15]

    C. L. Bennettet al. (WMAP), Astrophys. J. Suppl.208, 20 (2013), arXiv:1212.5225

  • [16]

    N. Makino and M. Sasaki, Prog. Theor. Phys.86, 103 (1991)

  • [17]

    F. L. Bezrukov and M. Shaposhnikov, Phys. Lett. B659, 703 (2008), arXiv:0710.3755

  • [18]

    R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett.44, 1316 (1980), [Erratum: Phys. Rev. Lett.44, 1643 (1980)]

  • [19]

    T. Appelquist, B. A. Dobrescu, and A. R. Hopper, Phys. Rev. D68, 035012 (2003), arXiv:hepph/0212073

  • [20]

    L. Basso, A. Belyaev, S. Morettiet al., Phys. Rev. D80, 055030 (2009), arXiv:0812.4313

  • [21]

    S. Khalil, Phys. Rev. D82, 077702 (2010), arXiv:1004.0013

  • [22]

    N. Okada, M. U. Rehman, and Q. Shafi, Phys. Lett. B701, 520 (2011), arXiv:1102.4747

  • [23]

    X. G. He, G. C. Joshi, H. Lewet al., Phys. Rev. D43, 22 (1991)

  • [24]

    X.-G. He, G. C. Joshi, H. Lewet al., Phys. Rev. D44, 2118 (1991)

  • [25]

    E. Ma, Phys. Lett. B433, 74 (1998)

  • [26]

    H. S. Goh, R. N. Mohapatra, and S. Nasri, Phys. Rev. D70, 075022 (2004), arXiv:hep-ph/0408139

  • [27]

    M. Fukugita and T. Yanagida, Phys. Lett. B174, 45 (1986)

  • [28]

    S. K. Majee and N. Sahu, Phys. Rev. D82, 053007 (2010), arXiv:1004.0841

  • [29]

    T. Nomura and H. Okada, Phys. Lett. B774, 575 (2017), arXiv:1704.08581

  • [30]

    R. N. Mohapatra and G. Senjanović, Phys. Rev. D23, 165 (1981)

  • [31]

    A. Arhrib, R. Benbrik, M. Chababet al., Phys. Rev. D84, 095005 (2011), arXiv:1105.1925

  • [32]

    N. Haba, H. Ishida, N. Okadaet al., Eur. Phys. J. C76, 333 (2016), arXiv:1601.05217

  • [33]

    C. Bonilla, R. M. Fonseca, and J. W. F. Valle, Phys. Rev. D92, 075028 (2015), arXiv:1508.02323

  • [34]

    J. P. Pinheiro and C. A. d. S. Pires (2020), arXiv: 2003.02350

  • [35]

    M. Carena, A. Daleo, B. A. Dobrescuet al., Phys. Rev. D70, 093009 (2004), arXiv:hep-ph/0408098

  • [36]

    D. S. Salopek, J. R. Bond, and J. M. Bardeen, Phys. Rev. D40, 1753 (1989)

  • [37]

    R. Fakir and W. G. Unruh, Phys. Rev. D41, 1783 (1990)

  • [38]

    A. O. Barvinsky, A. Yu. Kamenshchik, and A. A. Starobinsky, JCAP0811, 021 (2008), arXiv:0809.2104

  • [39]

    J. Garcia-Bellido, D. G. Figueroa, and J. Rubio, Phys. Rev. D79, 063531 (2009), arXiv:0812.4624

  • [40]

    F. Bezrukov and M. Shaposhnikov, Phys. Lett. B734, 249 (2014), arXiv:1403.6078

  • [41]

    H. M. Lee, Phys. Rev. D98, 015020 (2018), arXiv:1802.06174

  • [42]

    R. N. Lerner and J. McDonald, Phys. Rev. D80, 123507 (2009), arXiv:0909.0520

  • [43]

    N. Okada, M. U. Rehman, and Q. Shafi, Phys. Rev. D82, 043502 (2010), arXiv:1005.5161

  • [44]

    M. Fairbairn, R. Hogan, and D. J. E. Marsh, Phys. Rev. D91, 023509 (2015), arXiv:1410.1752

  • [45]

    C. P. Burgess, H. M. Lee, and M. Trott, JHEP09, 103 (2009), arXiv:0902.4465

  • [46]

    J. L. F. Barbon and J. R. Espinosa, Phys. Rev. D79, 081302 (2009), arXiv:0903.0355

  • [47]

    C. P. Burgess, H. M. Lee, and M. Trott, JHEP07, 007 (2010), arXiv:1002.2730

  • [48]

    M. P. Hertzberg, JHEP11, 023 (2010), arXiv:1002.2995

  • [49]

    R. N. Lerner and J. McDonald, JCAP1004, 015 (2010), arXiv:0912.5463

  • [50]

    F. Bezrukov, Class. Quant. Grav.30, 214001 (2013), arXiv:1307.0708

  • [51]

    J. Rubio, Front. Astron. Space Sci.5, 50 (2019), arXiv:1807.02376

  • [52]

    J. G. Ferreira, C. A. de S. Pires, J. G. Rodrigueset al., Phys. Rev. D96, 103504 (2017), arXiv:1707.01049

  • [53]

    C.-S. Chen and C.-M. Lin, Phys. Lett. B695, 9 (2011), arXiv:1009.5727

  • [54]

    C. Arina, J.-O. Gong, and N. Sahu, Nucl. Phys. B865, 430 (2012), arXiv:1206.0009

  • [55]

    O. Lebedev and H. M. Lee, Eur. Phys. J. C71, 1821 (2011), arXiv:1105.2284

  • [56]

    G. Ballesteros, J. Redondo, A. Ringwaldet al., Phys. Rev. Lett.118, 071802 (2017), arXiv:1608.05414

  • [57]

    S. R. Coleman and E. J. Weinberg, Phys. Rev. D7, 1888 (1973)

  • [58]

    M. Sher, Phys. Rept.179, 273 (1989)

  • [59]

    N. D. Birrell and P. C. W. Davies,Quantum Fields in Curved Space, Cambridge Monographs on Mathematical Physics,(Cambridge Univ. Press, Cambridge, UK, 1984), ISBN 0521278589, 9780521278584, 9780521278584

  • [60]

    A. J. Accioly, U. F. Wichoski, S. F. Kwoket al., Class. Quant. Grav.10, L215 (1993)

  • [61]

    V. Faraoni, E. Gunzig, and P. Nardone, Fund. Cosmic Phys.20, 121 (1999), arXiv:gr-qc/9811047

  • [62]

    A. Linde, M. Noorbala, and A. Westphal, JCAP1103, 013 (2011), arXiv:1101.2652

  • [63]

    A. R. Liddle and D. H. Lyth, Cosmological inflation and large scale structure (2000), ISBN 0521575982, 9780521575980, 9780521828499

  • [64]

    G. Ballesteros, J. Redondo, A. Ringwaldet al., JCAP1708, 001 (2017), arXiv:1610.01639

  • [65]

    J. P. B. Almeida, N. Bernal, J. Rubioet al., JCAP1903, 012 (2019), arXiv:1811.09640

  • [66]

    A. R. Liddle and S. M. Leach, Phys. Rev. D68, 103503 (2003), arXiv:astro-ph/0305263

  • [67]

    J.-O. Gong, S. Pi, and G. Leung, JCAP05, 027 (2015), arXiv:1501.03604

  • [68]

    L. F. Abbott, E. Farhi, and M. B. Wise, Phys. Lett. B117, 29 (1982)

  • [69]

    A. D. Linde, Contemp. Concepts Phys.5, 1 (1990), arXiv:hep-th/0503203

  • [70]

    R. Allahverdi, R. Brandenberger, F.-Y. Cyr-Racineet al., Ann. Rev. Nucl. Part. Sci.60, 27 (2010), arXiv:1001.2600

  • [71]

    Y. Ema, R. Jinno, K. Mukaidaet al., JCAP1702, 045 (2017), arXiv:1609.05209

  • [72]

    G. Belanger, F. Boudjema, A. Pukhovet al., Nuovo Cim.C033N2, 111 (2010), arXiv:1005.4133

  • [73]

    F. Staub (2008), arXiv: 0806.0538

  • [74]

    F. Staub, Comput. Phys. Commun.182, 808 (2011), arXiv:1002.0840

  • [75]

    F. Staub, Comput. Phys. Commun.184, 1792 (2013), arXiv:1207.0906

  • [76]

    F. Staub, Comput. Phys. Commun.185, 1773 (2014), arXiv:1309.7223

  • [77]

    W. Porod and F. Staub, Comput. Phys. Commun.183, 2458 (2012), arXiv:1104.1573

  • [78]

    W. Porod, Comput. Phys. Commun.153, 275 (2003), arXiv:hep-ph/0301101

  • [79]

    G. Aadet al. (ATLAS), Phys. Rev. D90, 052005 (2014), arXiv:1405.4123

  • [80]

    D. G. Cerdeno and A. M. Green, pp. 347-369 (2010), arXiv: 1002.1912

  • [81]

    G. Arcadi, M. Dutra, P. Ghoshet al., Eur. Phys. J. C78, 203 (2018), arXiv:1703.07364

  • [82]

    F. S. Queiroz, PoSEPS-HEP2017, 080 (2017), arXiv:1711.02463

  • [83]

    T. Marrodn Undagoitia and L. Rauch, J. Phys. G43, 013001 (2016), arXiv:1509.08767

  • [84]

    A. Berlin, D. Hooper, and S. D. McDermott, Phys. Rev. D89, 115022 (2014), arXiv:1404.0022

  • [85]

    M. Dutra, C. A. de S. Pires, and P. S. Rodrigues da Silva, JHEP09, 147 (2015), arXiv:1504.07222

  • [86]

    E. Aprileet al. (2018), arXiv: 1805.12562

  • [87]

    D. S. Akeribet al. (LUX), Phys. Rev. Lett.118, 021303 (2017), arXiv:1608.07648

  • [88]

    E. Aprileet al. (XENON), JCAP1604, 027 (2016), arXiv:1512.07501

  • [89]

    C. E. Aalsethet al., Eur. Phys. J. Plus133, 131 (2018), arXiv:1707.08145

  • [90]

    D. S. Akeribet al. (LZ) (2015), arXiv: 1509.02910

  • [91]

    J. Billard, L. Strigari, and E. Figueroa-Feliciano, Phys. Rev. D89, 023524 (2014), arXiv:1307.5458

  • [92]

    P. Creminelli, D. L. Lpez Nacir, M. Simonovićet al., JCAP11, 031 (2015), arXiv:1502.01983

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