Abstract
We show that in a wide class of string derived models of particle physics, heavy string modes with masses around the GUT scale can serve as a viable dark matter candidate. These heavy string modes wind around specific cycles in the extra-dimensional space, closely related to the fundamental group π1. As a consequence of a non-trivial π1, there is an exact discrete symmetry that stabilizes such winding strings. The dark matter candidate couples to the Standard Model via gravity and via the exchange of heavy string states. We find that, for reasonable values of the string coupling, our dark matter candidate can be produced in sizable amounts via freeze-in. Our scheme applies to many string constructions, including Calabi-Yau compactifications, and can be tested against constraints from the CMB.
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References
E.W. Kolb and M.S. Turner, The Early Universe, Front. Phys. 69 (1990) 1 [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].
L.J. Hall, K. Jedamzik, J. March-Russell and S.M. West, Freeze-In Production of FIMP Dark Matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
M. Garny, M. Sandora and M.S. Sloth, Planckian Interacting Massive Particles as Dark Matter, Phys. Rev. Lett. 116 (2016) 101302 [arXiv:1511.03278] [INSPIRE].
M. Garny, A. Palessandro, M. Sandora and M.S. Sloth, Theory and Phenomenology of Planckian Interacting Massive Particles as Dark Matter, JCAP 02 (2018) 027 [arXiv:1709.09688] [INSPIRE].
Ya.I. Kogan and M.Yu. Khlopov, Homotopically stable particles in the superstring theory, Sov. J. Nucl. Phys. 46 (1987) 193 [INSPIRE].
S. Ramos-Sánchez and P.K.S. Vaudrevange, Note on the space group selection rule for closed strings on orbifolds, JHEP 01 (2019) 055 [arXiv:1811.00580] [INSPIRE].
T. Banks and M. Dine, Note on discrete gauge anomalies, Phys. Rev. D 45 (1992) 1424 [hep-th/9109045] [INSPIRE].
H.M. Lee et al., Discrete R symmetries for the MSSM and its singlet extensions, Nucl. Phys. B 850 (2011) 1 [arXiv:1102.3595] [INSPIRE].
M. Fischer, M. Ratz, J. Torrado and P.K.S. Vaudrevange, Classification of symmetric toroidal orbifolds, JHEP 01 (2013) 084 [arXiv:1209.3906] [INSPIRE].
L.J. Dixon, V. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys. B 355 (1991) 649 [INSPIRE].
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
J. Edsjo and P. Gondolo, Neutralino relic density including coannihilations, Phys. Rev. D 56 (1997) 1879 [hep-ph/9704361] [INSPIRE].
G.N. Felder, L. Kofman and A.D. Linde, Instant preheating, Phys. Rev. D 59 (1999) 123523 [hep-ph/9812289] [INSPIRE].
Planck collaboration, Planck 2018 results. X. Constraints on inflation, arXiv:1807.06211 [INSPIRE].
J. Errard, S.M. Feeney, H.V. Peiris and A.H. Jaffe, Robust forecasts on fundamental physics from the foreground-obscured, gravitationally-lensed CMB polarization, JCAP 03 (2016) 052 [arXiv:1509.06770] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
D.J.H. Chung, P. Crotty, E.W. Kolb and A. Riotto, On the Gravitational Production of Superheavy Dark Matter, Phys. Rev. D 64 (2001) 043503 [hep-ph/0104100] [INSPIRE].
D. Chowdhury, E. Dudas, M. Dutra and Y. Mambrini, Moduli Portal Dark Matter, Phys. Rev. D 99 (2019) 095028 [arXiv:1811.01947] [INSPIRE].
G. Bhattacharyya, M. Dutra, Y. Mambrini and M. Pierre, Freezing-in dark matter through a heavy invisible Z’, Phys. Rev. D 98 (2018) 035038 [arXiv:1806.00016] [INSPIRE].
N. Bernal, M. Dutra, Y. Mambrini, K. Olive, M. Peloso and M. Pierre, Spin-2 Portal Dark Matter, Phys. Rev. D 97 (2018) 115020 [arXiv:1803.01866] [INSPIRE].
J. Halverson, B.D. Nelson and F. Ruehle, String Theory and the Dark Glueball Problem, Phys. Rev. D 95 (2017) 043527 [arXiv:1609.02151] [INSPIRE].
J. Halverson, B.D. Nelson, F. Ruehle and G. Salinas, Dark Glueballs and their Ultralight Axions, Phys. Rev. D 98 (2018) 043502 [arXiv:1805.06011] [INSPIRE].
V. Braun, Y.-H. He, B.A. Ovrut and T. Pantev, The exact MSSM spectrum from string theory, JHEP 05 (2006) 043 [hep-th/0512177] [INSPIRE].
L.B. Anderson, J. Gray, A. Lukas and E. Palti, Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds, Phys. Rev. D 84 (2011) 106005 [arXiv:1106.4804] [INSPIRE].
L.B. Anderson, A. Constantin, S.-J. Lee and A. Lukas, Hypercharge Flux in Heterotic Compactifications, Phys. Rev. D 91 (2015) 046008 [arXiv:1411.0034] [INSPIRE].
L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds, Nucl. Phys. B 261 (1985) 678 [INSPIRE].
L.J. Dixon, J.A. Harvey, C. Vafa and E. Witten, Strings on Orbifolds. 2., Nucl. Phys. B 274 (1986) 285 [INSPIRE].
L.E. Ibáñez, H.P. Nilles and F. Quevedo, Orbifolds and Wilson Lines, Phys. Lett. B 187 (1987) 25 [INSPIRE].
S. Förste, T. Kobayashi, H. Ohki and K.-j. Takahashi, Non-Factorisable ℤ2 × ℤ2 Heterotic Orbifold Models and Yukawa Couplings, JHEP 03 (2007) 011 [hep-th/0612044] [INSPIRE].
R. Donagi and K. Wendland, On orbifolds and free fermion constructions, J. Geom. Phys. 59 (2009) 942 [arXiv:0809.0330] [INSPIRE].
M. Blaszczyk, S. Groot Nibbelink, M. Ratz, F. Ruehle, M. Trapletti and P.K.S. Vaudrevange, A ℤ2 × ℤ2 standard model, Phys. Lett. B 683 (2010) 340 [arXiv:0911.4905] [INSPIRE].
Y. Olguín-Trejo, R. Pérez-Martínez and S. Ramos-Sánchez, Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds, Phys. Rev. D 98 (2018) 106020 [arXiv:1808.06622] [INSPIRE].
S. Hamidi and C. Vafa, Interactions on Orbifolds, Nucl. Phys. B 279 (1987) 465 [INSPIRE].
L.J. Dixon, D. Friedan, E.J. Martinec and S.H. Shenker, The Conformal Field Theory of Orbifolds, Nucl. Phys. B 282 (1987) 13 [INSPIRE].
S. Groot Nibbelink and P.K.S. Vaudrevange, T-duality orbifolds of heterotic Narain compactifications, JHEP 04 (2017) 030 [arXiv:1703.05323] [INSPIRE].
F. Beye, T. Kobayashi and S. Kuwakino, Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds, Phys. Lett. B 736 (2014) 433 [arXiv:1406.4660] [INSPIRE].
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Mütter, A., Vaudrevange, P.K.S. String scale interacting dark matter from π1. J. High Energ. Phys. 2020, 3 (2020). https://doi.org/10.1007/JHEP06(2020)003
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DOI: https://doi.org/10.1007/JHEP06(2020)003