Scalar quintuplet minimal dark matter with Yukawa interactions:perturbative up to the Planck scale
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摘要
We confront the perturbativity problem in the real scalar quintuplet minimal dark matter model. In the original model, the quintuplet quartic self-coupling inevitably hits a Landau pole at a scale ～10~(14) GeV, far below the Planck scale. In order to push up this Landau pole scale, we extend the model with a fermionic quintuplet and three fermionic singlets which couple to the scalar quintuplet via Yukawa interactions. Involving such Yukawa interactions at a scale ～10~(10) GeV can not only keep all couplings perturbative up to the Planck scale, but can also explain the smallness of neutrino masses via the type-I seesaw mechanism. Furthermore, we identify the parameter regions favored by the condition that perturbativity and vacuum stability are both maintained up to the Planck scale.
We confront the perturbativity problem in the real scalar quintuplet minimal dark matter model. In the original model, the quintuplet quartic self-coupling inevitably hits a Landau pole at a scale ～10~(14) GeV, far below the Planck scale. In order to push up this Landau pole scale, we extend the model with a fermionic quintuplet and three fermionic singlets which couple to the scalar quintuplet via Yukawa interactions. Involving such Yukawa interactions at a scale ～10~(10) GeV can not only keep all couplings perturbative up to the Planck scale, but can also explain the smallness of neutrino masses via the type-I seesaw mechanism. Furthermore, we identify the parameter regions favored by the condition that perturbativity and vacuum stability are both maintained up to the Planck scale.
We confront the perturbativity problem in the real scalar quintuplet minimal dark matter model. In the original model, the quintuplet quartic self-coupling inevitably hits a Landau pole at a scale ～10~(14) GeV, far below the Planck scale. In order to push up this Landau pole scale, we extend the model with a fermionic quintuplet and three fermionic singlets which couple to the scalar quintuplet via Yukawa interactions. Involving such Yukawa interactions at a scale ～10~(10) GeV can not only keep all couplings perturbative up to the Planck scale, but can also explain the smallness of neutrino masses via the type-I seesaw mechanism. Furthermore, we identify the parameter regions favored by the condition that perturbativity and vacuum stability are both maintained up to the Planck scale.
引文
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10 M. R. Buckley, L. Randall, and B. Shuve, JHEP, 05:097(2011)
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20 F. D'Eramo, Phys. Rev. D, 76:083522(2007)
21 R. Enberg, P. J. Fox, L. J. Hall, A. Y. Papaioannou, and M.Papucci, JHEP, 11:014(2007)
22 T. Cohen, J. Kearney, A. Pierce, and D. Tucker-Smith, Phys.Rev.D, 85:075003(2012)
23 O. Fischer and J. J. van der Bij, JCAP, 1401:032(2014)
24 C. Cheung and D. Sanford, JCAP, 1402:011(2014)
25 A. Dedes and D. Karamitros, Phys. Rev. D, 89(11):115002(2014)
26 M. A. Fedderke, T. Lin, and L.-T. Wang, JHEP, 04:160(2016)
27 L. Calibbi, A. Mariotti, and P. Tziveloglou, JHEP, 10:116(2015)
28 A. Freitas, S. Westhoff, and J. Zupan, JHEP, 09:015(2015)
29 C. E. Yaguna, Phys. Rev. D, 92(11):115002(2015)
30 T. M. P. Tait and Z.-H. Yu, JHEP, 03:204(2016)
31 S. Horiuchi, O. Macias, D. Restrepo, A. Rivera, O. Zapata, and H. Silverwood, JCAP, 1603(03):048(2016)
32 S. Banerjee, S. Matsumoto, K. Mukaida, and Y.-L. S. Tsai, JHEP,11:070(2016)
33 C. Cai, Z.-H. Yu, and H.-H. Zhang, Nucl. Phys. B, 921:181-210(2017)
34 T. Abe, Phys. Lett. B, 771:125-130(2017)
35 W.-B. Lu and P.-H. Gu, Nucl. Phys. B, 924:279-311(2017)
36 C. Cai, Z.-H. Yu, and H.-H. Zhang, Nucl. Phys. B, 924:128-152(2017)
37 N. Maru, T. Miyaji, N. Okada, and S. Okada, JHEP, 07:048(2017)
38 X. Liu and L. Bian, Phys. Rev. D, 97:055028(2018)
39 D. Egana-Ugrinovic, JHEP, 12:064(2017)
40 Q.-F. Xiang, X.-J. Bi, P.-F. Yin, and Z.-H. Yu, Phys. Rev. D, 97:055004(2018)
41 A. Voigt and S. Westhoff, JHEP, 11:009(2017)
42 J.-W. Wang, X.-J. Bi, Q.-F. Xiang, P.-F. Yin, and Z.-H. Yu, Phys.Rev.D, 97:035021(2018)
43 L. Di Luzio, R. Gr(o|¨)ber, J. F. Kamenik, and M. Nardecchia, JHEP,07:074(2015)
44 T. Araki, C. Q. Geng, and K. I. Nagao, Phys. Rev. D, 83:075014(2011)
45 S. Yaser Ayazi and S. M. Firouzabadi, JCAP, 1411(11):005(2014)
46 N. Khan, Eur. Phys. J. C, 78:341(2018)
47 Y. Hamada, K. Kawana, and K. Tsumura, Phys. Lett. B, 747:238-244(2015)
48 R. Foot, H. Lew, X. G. He, and G. C. Joshi, Z. Phys. C, 44:441(1989)
49 P. Minkowski, Phys. Lett. B, 67:421-428(1977)
50 M. Gell-Mann, P. Ramond, and R. Slansky, Conf. Proc. C,790927:315-321(1979)
51 T. Yanagida, Conf. Proc. C, 7902131:95-99(1979)
52 R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett., 44:912(1980)
53 K. Kannike, Eur. Phys. J. C, 72:2093(2012)
54 K. Griest and D. Seckel, Phys. Rev. D, 43:3191-3203(1991)
55 Planck Collaboration, P. A. R. Ade et al, Astron. Astrophys., 594:A13(2016)
56 Fermi-LAT, MAGIC Collaboration, and M. L. Ahnen, et al,JCAP, 1602(02):039(2016)
57 A. Mitridate, M. Redi, J. Smirnov, and A. Strumia, JCAP,1705(05):006(2017)
58 J. Hisano, K. Ishiwata, andN. Nagata, JHEP, 06:097(2015)
59 PandaX-II Collaboration, X. Cui, et al, Phys. Rev. Lett., 119(18):181302(2017)
60 XENON Collaboration, E. Aprile et al, Phys. Rev. Lett., 121:111302(2018)
61 S. L. Adler, Phys. Rev., 177:2426-2438(1969)
62 J. S. Bell and R. Jackiw, Nuovo Cim. A, 60:47-61(1969)
63 E. Witten, Phys. Lett. B, 117:324-328(1982)
64 O. Bar, Nucl. Phys. B, 650:522-542(2003)
65 Particle Data Group Collaboration, C. Patrignani et al, Chin.Phys. C, 40(10):100001(2016)
66 Particle Data Group Collaboration, J. Beringer et al, Phys. Rev.D.86:010001(2012)
67 T. Hambye and K. Riesselmann, Phys. Rev. D, 55:7255-7262(1997)
1)The term"real"means that the multiplet is self-conjugated. A electroweak multiplet with even n must be complex, and hence allows more interaction terms.
1)This value may be slightly modified if the bound state formation effect is also considered[57].
2)In order to give an accurate DM-nucleon cross section, a detailed calculation for loop diagrams is needed. But such a calculation would be beyond the scope of this paper. We will leave it to a further study.
2 J. L. Feng, Ann. Rev. Astron. Astrophys., 48:495-545(2010)
3 B.-L. Young, Front. Phys.(Beijing), 12(2):121201(2017)
4 G. Arcadi, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini, M.Pierre, S. Profumo, and F. S. Queiroz, Eur. Phys. J. C, 78:203(2018)
5 M. Cirelli, N. Fornengo, and A. Strumia, Nucl. Phys. B, 753:178-194(2006)
6 M. Cirelli, A. Strumia, and M. Tamburini, Nucl. Phys. B, 787:152-175(2007)
7 M. Cirelli, R. Franceschini, and A. Strumia, Nucl. Phys. B, 800:204-220(2008)
8 M. Cirelli and A. Strumia, New J. Phys., 11:105005(2009)
9 T. Hambye, F. S. Ling, L. Lopez Honorez, and J. Rocher, JHEP,07:090(2009)
10 M. R. Buckley, L. Randall, and B. Shuve, JHEP, 05:097(2011)
11 Y. Cai, W. Chao, and S. Yang, JHEP, 12:043(2012)
12 K. Earl, K. Hartling, H. E. Logan, and T. Pilkington, Phys. Rev.D,88:015002(2013)
13 M. Cirelli, F. Sala, and M. Taoso, JHEP, 10:033(2014)
14 B. Ostdiek, Phys. Rev. D, 92:055008(2015)
15 M. Cirelli, T. Hambye, P. Panci, F. Sala, and M. Taoso, JCAP,1510(10):026(2015)
16 C. Garcia-Cely, A. Ibarra, A. S. Lamperstorfer, and M. H. G.Tytgat, JCAP, 1510(10):058(2015)
17 C. Cai, Z.-M. Huang, Z. Kang, Z.-H. Yu, and H.-H. Zhang, Phys.Rev. D, 92(11):115004(2015)
18 E. Del Nobile, M. Nardecchia, and P. Panci, JCAP, 1604(04):048(2016)
19 R. Mahbubani and L. Senatore, Phys. Rev. D, 73:043510(2006)
20 F. D'Eramo, Phys. Rev. D, 76:083522(2007)
21 R. Enberg, P. J. Fox, L. J. Hall, A. Y. Papaioannou, and M.Papucci, JHEP, 11:014(2007)
22 T. Cohen, J. Kearney, A. Pierce, and D. Tucker-Smith, Phys.Rev.D, 85:075003(2012)
23 O. Fischer and J. J. van der Bij, JCAP, 1401:032(2014)
24 C. Cheung and D. Sanford, JCAP, 1402:011(2014)
25 A. Dedes and D. Karamitros, Phys. Rev. D, 89(11):115002(2014)
26 M. A. Fedderke, T. Lin, and L.-T. Wang, JHEP, 04:160(2016)
27 L. Calibbi, A. Mariotti, and P. Tziveloglou, JHEP, 10:116(2015)
28 A. Freitas, S. Westhoff, and J. Zupan, JHEP, 09:015(2015)
29 C. E. Yaguna, Phys. Rev. D, 92(11):115002(2015)
30 T. M. P. Tait and Z.-H. Yu, JHEP, 03:204(2016)
31 S. Horiuchi, O. Macias, D. Restrepo, A. Rivera, O. Zapata, and H. Silverwood, JCAP, 1603(03):048(2016)
32 S. Banerjee, S. Matsumoto, K. Mukaida, and Y.-L. S. Tsai, JHEP,11:070(2016)
33 C. Cai, Z.-H. Yu, and H.-H. Zhang, Nucl. Phys. B, 921:181-210(2017)
34 T. Abe, Phys. Lett. B, 771:125-130(2017)
35 W.-B. Lu and P.-H. Gu, Nucl. Phys. B, 924:279-311(2017)
36 C. Cai, Z.-H. Yu, and H.-H. Zhang, Nucl. Phys. B, 924:128-152(2017)
37 N. Maru, T. Miyaji, N. Okada, and S. Okada, JHEP, 07:048(2017)
38 X. Liu and L. Bian, Phys. Rev. D, 97:055028(2018)
39 D. Egana-Ugrinovic, JHEP, 12:064(2017)
40 Q.-F. Xiang, X.-J. Bi, P.-F. Yin, and Z.-H. Yu, Phys. Rev. D, 97:055004(2018)
41 A. Voigt and S. Westhoff, JHEP, 11:009(2017)
42 J.-W. Wang, X.-J. Bi, Q.-F. Xiang, P.-F. Yin, and Z.-H. Yu, Phys.Rev.D, 97:035021(2018)
43 L. Di Luzio, R. Gr(o|¨)ber, J. F. Kamenik, and M. Nardecchia, JHEP,07:074(2015)
44 T. Araki, C. Q. Geng, and K. I. Nagao, Phys. Rev. D, 83:075014(2011)
45 S. Yaser Ayazi and S. M. Firouzabadi, JCAP, 1411(11):005(2014)
46 N. Khan, Eur. Phys. J. C, 78:341(2018)
47 Y. Hamada, K. Kawana, and K. Tsumura, Phys. Lett. B, 747:238-244(2015)
48 R. Foot, H. Lew, X. G. He, and G. C. Joshi, Z. Phys. C, 44:441(1989)
49 P. Minkowski, Phys. Lett. B, 67:421-428(1977)
50 M. Gell-Mann, P. Ramond, and R. Slansky, Conf. Proc. C,790927:315-321(1979)
51 T. Yanagida, Conf. Proc. C, 7902131:95-99(1979)
52 R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett., 44:912(1980)
53 K. Kannike, Eur. Phys. J. C, 72:2093(2012)
54 K. Griest and D. Seckel, Phys. Rev. D, 43:3191-3203(1991)
55 Planck Collaboration, P. A. R. Ade et al, Astron. Astrophys., 594:A13(2016)
56 Fermi-LAT, MAGIC Collaboration, and M. L. Ahnen, et al,JCAP, 1602(02):039(2016)
57 A. Mitridate, M. Redi, J. Smirnov, and A. Strumia, JCAP,1705(05):006(2017)
58 J. Hisano, K. Ishiwata, andN. Nagata, JHEP, 06:097(2015)
59 PandaX-II Collaboration, X. Cui, et al, Phys. Rev. Lett., 119(18):181302(2017)
60 XENON Collaboration, E. Aprile et al, Phys. Rev. Lett., 121:111302(2018)
61 S. L. Adler, Phys. Rev., 177:2426-2438(1969)
62 J. S. Bell and R. Jackiw, Nuovo Cim. A, 60:47-61(1969)
63 E. Witten, Phys. Lett. B, 117:324-328(1982)
64 O. Bar, Nucl. Phys. B, 650:522-542(2003)
65 Particle Data Group Collaboration, C. Patrignani et al, Chin.Phys. C, 40(10):100001(2016)
66 Particle Data Group Collaboration, J. Beringer et al, Phys. Rev.D.86:010001(2012)
67 T. Hambye and K. Riesselmann, Phys. Rev. D, 55:7255-7262(1997)
1)The term"real"means that the multiplet is self-conjugated. A electroweak multiplet with even n must be complex, and hence allows more interaction terms.
1)This value may be slightly modified if the bound state formation effect is also considered[57].
2)In order to give an accurate DM-nucleon cross section, a detailed calculation for loop diagrams is needed. But such a calculation would be beyond the scope of this paper. We will leave it to a further study.