Abstract
We study dark matter interacting via a massive spin-2 mediator. To have a consistent effective theory for the spin-2 particle, we work in a warped extra-dimensional model such that the mediator(s) are the Kaluza-Klein (KK) modes of the 5D graviton. We pay close attention to dark matter annihilations into KK-gravitons. Due to the high energy behavior of longitudinal modes of spin-2 fields, these channels exhibit a tremendous growth at large center of mass energies \( \sqrt{s} \) if only one spin-2 mediator is considered. For the first time, we include the full KK-tower in this dark matter production process and find that this growth is unphysical and cancels once the full field content of the extra-dimensional theory is taken into account. Interestingly, this implies that it is not possible to approximate the results obtained in the full theory with a reduced set of effective interactions once \( \sqrt{s} \) is greater than the first graviton mass. This casts some doubt on the universal applicability of previous studies with spin-2 mediators within an EFT framework and prompts us to revisit the phenomenological allowed parameter space of gravitationally interacting scalar dark matter in warped extra-dimensions.
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References
Planck collaboration, Planck 2018 results. I. Overview and the cosmological legacy of Planck, Astron. Astrophys. 641 (2020) A1 [arXiv:1807.06205] [INSPIRE].
G. Arcadi, A. Djouadi and M. Raidal, Dark Matter through the Higgs portal, Phys. Rept. 842 (2020) 1 [arXiv:1903.03616] [INSPIRE].
M. Escudero, A. Berlin, D. Hooper and M.-X. Lin, Toward (Finally!) Ruling Out Z and Higgs Mediated Dark Matter Models, JCAP 12 (2016) 029 [arXiv:1609.09079] [INSPIRE].
C. Blanco, M. Escudero, D. Hooper and S. J. Witte, Z’ mediated WIMPs: dead, dying, or soon to be detected?, JCAP 11 (2019) 024 [arXiv:1907.05893] [INSPIRE].
M. Duerr, F. Kahlhoefer, K. Schmidt-Hoberg, T. Schwetz and S. Vogl, How to save the WIMP: global analysis of a dark matter model with two s-channel mediators, JHEP 09 (2016) 042 [arXiv:1606.07609] [INSPIRE].
H. M. Lee, M. Park and V. Sanz, Gravity-mediated (or Composite) Dark Matter, Eur. Phys. J. C 74 (2014) 2715 [arXiv:1306.4107] [INSPIRE].
H. M. Lee, M. Park and V. Sanz, Gravity-mediated (or Composite) Dark Matter Confronts Astrophysical Data, JHEP 05 (2014) 063 [arXiv:1401.5301] [INSPIRE].
T. D. Rueter, T. G. Rizzo and J. L. Hewett, Gravity-Mediated Dark Matter Annihilation in the Randall-Sundrum Model, JHEP 10 (2017) 094 [arXiv:1706.07540] [INSPIRE].
M. G. Folgado, A. Donini and N. Rius, Gravity-mediated Dark Matter in Clockwork/Linear Dilaton Extra-Dimensions, JHEP 04 (2020) 036 [arXiv:1912.02689] [INSPIRE].
M. G. Folgado, A. Donini and N. Rius, Gravity-mediated Scalar Dark Matter in Warped Extra-Dimensions, JHEP 01 (2020) 161 [arXiv:1907.04340] [INSPIRE].
E. Babichev et al., Heavy spin-2 Dark Matter, JCAP 09 (2016) 016 [arXiv:1607.03497] [INSPIRE].
N. L. González Albornoz, A. Schmidt-May and M. von Strauss, Dark matter scenarios with multiple spin-2 fields, JCAP 01 (2018) 014 [arXiv:1709.05128] [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].
S. Kraml, U. Laa, K. Mawatari and K. Yamashita, Simplified dark matter models with a spin-2 mediator at the LHC, Eur. Phys. J. C 77 (2017) 326 [arXiv:1701.07008] [INSPIRE].
N. Bernal, A. Donini, M. G. Folgado and N. Rius, Kaluza-Klein FIMP Dark Matter in Warped Extra-Dimensions, JHEP 09 (2020) 142 [arXiv:2004.14403] [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].
Y. Ema, K. Nakayama and Y. Tang, Production of Purely Gravitational Dark Matter, JHEP 09 (2018) 135 [arXiv:1804.07471] [INSPIRE].
A. de Giorgi and S. Vogl, Unitarity in KK-graviton production: A case study in warped extra-dimensions, JHEP 04 (2021) 143 [arXiv:2012.09672] [INSPIRE].
J. Bonifacio, K. Hinterbichler and R. A. Rosen, Constraints on a gravitational Higgs mechanism, Phys. Rev. D 100 (2019) 084017 [arXiv:1903.09643] [INSPIRE].
J. Bonifacio and K. Hinterbichler, Unitarization from Geometry, JHEP 12 (2019) 165 [arXiv:1910.04767] [INSPIRE].
R. S. Chivukula, D. Foren, K. A. Mohan, D. Sengupta and E. H. Simmons, Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories, Phys. Rev. D 101 (2020) 075013 [arXiv:2002.12458] [INSPIRE].
R. Sekhar Chivukula, D. Foren, K. A. Mohan, D. Sengupta and E. H. Simmons, Scattering amplitudes of massive spin-2 Kaluza-Klein states grow only as \( \mathcal{O}(s) \), Phys. Rev. D 101 (2020) 055013 [arXiv:1906.11098] [INSPIRE].
R. Sekhar Chivukula, D. Foren, K. A. Mohan, D. Sengupta and E. H. Simmons, Sum Rules for Massive Spin-2 Kaluza-Klein Elastic Scattering Amplitudes, Phys. Rev. D 100 (2019) 115033 [arXiv:1910.06159] [INSPIRE].
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
R. Rattazzi, Cargese lectures on extra-dimensions, in Cargese School of Particle Physics and Cosmology: the Interface, Cargese France (2003), pg. 461 [hep-ph/0607055] [INSPIRE].
G. D. Kribs, TASI 2004 lectures on the phenomenology of extra dimensions, in Theoretical Advanced Study Institute in Elementary Particle Physics: Physics in D ≧ 4, pp. 633–699, 5, 2006 [hep-ph/0605325] [INSPIRE].
S. Raychaudhuri and K. Sridhar, Particle Physics of Brane Worlds and Extra Dimensions, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (2016).
H. Davoudiasl, J. L. Hewett and T. G. Rizzo, Phenomenology of the Randall-Sundrum Gauge Hierarchy Model, Phys. Rev. Lett. 84 (2000) 2080 [hep-ph/9909255] [INSPIRE].
W. D. Goldberger and M. B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [INSPIRE].
M. A. Luty and R. Sundrum, Radius stabilization and anomaly mediated supersymmetry breaking, Phys. Rev. D 62 (2000) 035008 [hep-th/9910202] [INSPIRE].
E. Ponton and E. Poppitz, Casimir energy and radius stabilization in five-dimensional orbifolds and six-dimensional orbifolds, JHEP 06 (2001) 019 [hep-ph/0105021] [INSPIRE].
J. M. Cline, K. Kainulainen, P. Scott and C. Weniger, Update on scalar singlet dark matter, Phys. Rev. D 88 (2013) 055025 [Erratum ibid. 92 (2015) 039906] [arXiv:1306.4710] [INSPIRE].
GAMBIT collaboration, Status of the scalar singlet dark matter model, Eur. Phys. J. C 77 (2017) 568 [arXiv:1705.07931] [INSPIRE].
E. W. Kolb and M. S. Turner, Frontiers in Physics. Vol. 69: The early universe, CRC Press, Boca Raton U.S.A. (1990).
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B 360 (1991) 145.
M. D. Schwartz, Constructing gravitational dimensions, Phys. Rev. D 68 (2003) 024029 [hep-th/0303114] [INSPIRE].
N. D. Christensen and Stefanus, On Tree-Level Unitarity in Theories of Massive Spin-2 Bosons, arXiv:1407.0438 [INSPIRE].
N. Arkani-Hamed, H. Georgi and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [hep-th/0210184] [INSPIRE].
B. W. Lee, C. Quigg and H. B. Thacker, Weak Interactions at Very High-Energies: The Role of the Higgs Boson Mass, Phys. Rev. D 16 (1977) 1519 [INSPIRE].
R. S. Chivukula, D. Foren, K. A. Mohan, D. Sengupta and E. H. Simmons, Spin-2 Kaluza-Klein mode scattering in models with a massive radion, Phys. Rev. D 103 (2021) 095024 [arXiv:2104.08169] [INSPIRE].
ATLAS collaboration, Search for new phenomena in high-mass diphoton final states using 37 fb−1 of proton-proton collisions collected at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 775 (2017) 105 [arXiv:1707.04147] [INSPIRE].
A. Belyaev, N. D. Christensen and A. Pukhov, CalcHEP 3.4 for collider physics within and beyond the Standard Model, Comput. Phys. Commun. 184 (2013) 1729 [arXiv:1207.6082] [INSPIRE].
M. S. Chanowitz, M. A. Furman and I. Hinchliffe, Weak Interactions of Ultraheavy Fermions, Phys. Lett. B 78 (1978) 285 [INSPIRE].
F. Kahlhoefer, K. Schmidt-Hoberg, T. Schwetz and S. Vogl, Implications of unitarity and gauge invariance for simplified dark matter models, JHEP 02 (2016) 016 [arXiv:1510.02110] [INSPIRE].
A. V. Kisselev, Virtual gravitons and brane field scattering in the RS model with a small curvature, Phys. Rev. D 73 (2006) 024007 [hep-th/0507145] [INSPIRE].
G. F. Giudice, T. Plehn and A. Strumia, Graviton collider effects in one and more large extra dimensions, Nucl. Phys. B 706 (2005) 455 [hep-ph/0408320] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs_3: A program for calculating dark matter observables, Comput. Phys. Commun. 185 (2014) 960 [arXiv:1305.0237] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs 2.0: A Program to calculate the relic density of dark matter in a generic model, Comput. Phys. Commun. 176 (2007) 367 [hep-ph/0607059] [INSPIRE].
A. Carmona, J. Castellano Ruiz and M. Neubert, A warped scalar portal to fermionic dark matter, Eur. Phys. J. C 81 (2021) 58 [arXiv:2011.09492] [INSPIRE].
J. C. Criado, N. Koivunen, M. Raidal and H. Veermäe, Dark matter of any spin — an effective field theory and applications, Phys. Rev. D 102 (2020) 125031 [arXiv:2010.02224] [INSPIRE].
A. Falkowski, G. Isabella and C. S. Machado, On-shell effective theory for higher-spin dark matter, SciPost Phys. 10 (2021) 101 [arXiv:2011.05339] [INSPIRE].
G. F. Giudice, Y. Kats, M. McCullough, R. Torre and A. Urbano, Clockwork/linear dilaton: structure and phenomenology, JHEP 06 (2018) 009 [arXiv:1711.08437] [INSPIRE].
K. Blum, M. Cliche, C. Csáki and S. J. Lee, WIMP Dark Matter through the Dilaton Portal, JHEP 03 (2015) 099 [arXiv:1410.1873] [INSPIRE].
I. N. Sneddon, On some infinite series involving the zeros of Bessel functions of the first kind, Glasgow Math. J. 4 (1960) 144.
L. Rayleigh, Note on the numerical calculation of the roots of fluctuating functions, Proc. Lond. Math. Soc. s1-5 (1873) 119.
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de Giorgi, A., Vogl, S. Dark matter interacting via a massive spin-2 mediator in warped extra-dimensions. J. High Energ. Phys. 2021, 36 (2021). https://doi.org/10.1007/JHEP11(2021)036
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DOI: https://doi.org/10.1007/JHEP11(2021)036