Abstract
There exists a vast literature examining the electroweak (EW) fine-tuning problem in supersymmetric scenarios, but little concerned with the dark matter (DM) one, which should be combined with the former. In this paper, we study this problem in an, as much as possible, exhaustive and rigorous way. We have considered the MSSM framework, assuming that the LSP is the lightest neutralino, χ 01 , and exploring the various possibilities for the mass and composition of χ 01 , as well as different mechanisms for annihilation of the DM particles in the early Universe (well-tempered neutralinos, funnels and co-annihilation scenarios). We also present a discussion about the statistical meaning of the fine-tuning and how it should be computed for the DM abundance, and combined with the EW fine-tuning. The results are very robust and model-independent and favour some scenarios (like the h-funnel when \( {M}_{\chi_1^0} \) is not too close to m h /2) with respect to others (such as the pure wino case). These features should be taken into account when one explores “natural SUSY” scenarios and their possible signatures at the LHC and in DM detection experiments.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J.R. Ellis, K. Enqvist, D.V. Nanopoulos and F. Zwirner, Observables in low-energy superstring models, Mod. Phys. Lett. A 1 (1986) 57 [INSPIRE].
R. Barbieri and G.F. Giudice, Upper bounds on supersymmetric particle masses, Nucl. Phys. B 306 (1988) 63 [INSPIRE].
M. Papucci, J.T. Ruderman and A. Weiler, Natural SUSY endures, JHEP 09 (2012) 035 [arXiv:1110.6926] [INSPIRE].
S. Fichet, Quantified naturalness from Bayesian statistics, Phys. Rev. D 86 (2012) 125029 [arXiv:1204.4940] [INSPIRE].
P. Grothaus, M. Lindner and Y. Takanishi, Naturalness of neutralino dark matter, JHEP 07 (2013) 094 [arXiv:1207.4434] [INSPIRE].
C. Cheung, L.J. Hall, D. Pinner and J.T. Ruderman, Prospects and blind spots for neutralino dark matter, JHEP 05 (2013) 100 [arXiv:1211.4873] [INSPIRE].
T. Cohen and J.G. Wacker, Here be dragons: the unexplored continents of the CMSSM, JHEP 09 (2013) 061 [arXiv:1305.2914] [INSPIRE].
C. Boehm, P.S.B. Dev, A. Mazumdar and E. Pukartas, Naturalness of light neutralino dark matter in pMSSM after LHC, XENON100 and Planck Data, JHEP 06 (2013) 113 [arXiv:1303.5386] [INSPIRE].
D. Barducci, A. Belyaev, A.K.M. Bharucha, W. Porod and V. Sanz, Uncovering natural supersymmetry via the interplay between the LHC and direct dark matter detection, JHEP 07 (2015) 066 [arXiv:1504.02472] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, arXiv:1502.01589 [INSPIRE].
P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: improved analysis, Nucl. Phys. B 360 (1991) 145 [INSPIRE].
T. Cohen, M. Lisanti, A. Pierce and T.R. Slatyer, Wino dark matter under siege, JCAP 10 (2013) 061 [arXiv:1307.4082] [INSPIRE].
J. Fan and M. Reece, In Wino veritas? Indirect searches shed light on neutralino dark matter, JHEP 10 (2013) 124 [arXiv:1307.4400] [INSPIRE].
A. Hryczuk, I. Cholis, R. Iengo, M. Tavakoli and P. Ullio, Indirect detection analysis: Wino dark matter case study, JCAP 07 (2014) 031 [arXiv:1401.6212] [INSPIRE].
N. Arkani-Hamed, A. Delgado and G.F. Giudice, The well-tempered neutralino, Nucl. Phys. B 741 (2006) 108 [hep-ph/0601041] [INSPIRE].
P. Ciafaloni and A. Strumia, Naturalness upper bounds on gauge mediated soft terms, Nucl. Phys. B 494 (1997) 41 [hep-ph/9611204] [INSPIRE].
J.A. Casas, J.M. Moreno, S. Robles, K. Rolbiecki and B. Zaldívar, What is a natural SUSY scenario?, JHEP 06 (2015) 070 [arXiv:1407.6966] [INSPIRE].
M.E. Cabrera, J.A. Casas and R. Ruiz de Austri, Bayesian approach and naturalness in MSSM analyses for the LHC, JHEP 03 (2009) 075 [arXiv:0812.0536] [INSPIRE].
M.E. Cabrera, J.A. Casas and R. Ruiz d Austri, MSSM forecast for the LHC, JHEP 05 (2010) 043 [arXiv:0911.4686] [INSPIRE].
A. Crivellin, M. Hoferichter, M. Procura and L.C. Tunstall, Light stops, blind spots and isospin violation in the MSSM, JHEP 07 (2015) 129 [arXiv:1503.03478] [INSPIRE].
B.C. Allanach, SOFTSUSY: a program for calculating supersymmetric spectra, Comput. Phys. Commun. 143 (2002) 305 [hep-ph/0104145] [INSPIRE].
G. Bélanger, F. Boudjema, A. Pukhov and A. Semenov, MicrOMEGAs4.1: two dark matter candidates, Comput. Phys. Commun. 192 (2015) 322 [arXiv:1407.6129] [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].
F. Feroz and M.P. Hobson, Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis, Mon. Not. Roy. Astron. Soc. 384 (2008) 449 [arXiv:0704.3704] [INSPIRE].
F. Feroz, M.P. Hobson and M. Bridges, MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics, Mon. Not. Roy. Astron. Soc. 398 (2009) 1601 [arXiv:0809.3437] [INSPIRE].
F. Feroz, M.P. Hobson, E. Cameron and A.N. Pettitt, Importance nested sampling and the multinest algorithm, arXiv:1306.2144 [INSPIRE].
LUX collaboration, D.S. Akerib et al., Improved limits on scattering of weakly interacting massive particles from reanalysis of 2013 LUX data, Phys. Rev. Lett. 116 (2016) 161301 [arXiv:1512.03506] [INSPIRE].
LUX collaboration, A. Manalaysay, Dark-matter results from 332 new live days of LUX data, in Identification of dark matter 2016, The University of Sheffield, Sheffield, U.K. (2016).
XENON1T collaboration, E. Aprile, The XENON1T dark matter search experiment, Springer Proc. Phys. 148 (2013) 93 [arXiv:1206.6288] [INSPIRE].
XENON collaboration, E. Aprile et al., Physics reach of the XENON1T dark matter experiment, JCAP 04 (2016) 027 [arXiv:1512.07501] [INSPIRE].
P. Cushman et al., Working group report: WIMP dark matter direct detection, arXiv:1310.8327 [INSPIRE].
J.A. Casas, J.R. Espinosa and I. Hidalgo, Implications for new physics from fine-tuning arguments. II. Little Higgs models, JHEP 03 (2005) 038 [hep-ph/0502066] [INSPIRE].
I. Antoniadis, C. Muñoz and M. Quirós, Dynamical supersymmetry breaking with a large internal dimension, Nucl. Phys. B 397 (1993) 515 [hep-ph/9211309] [INSPIRE].
ATLAS collaboration, Search for strong production of supersymmetric particles in final states with missing transverse momentum and at least three b-jets at \( \sqrt{s}=8 \) TeV proton-proton collisions with the ATLAS detector, JHEP 10 (2014) 024 [arXiv:1407.0600] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1604.02102
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Cabrera, M.E., Casas, J.A., Delgado, A. et al. Naturalness of MSSM dark matter. J. High Energ. Phys. 2016, 58 (2016). https://doi.org/10.1007/JHEP08(2016)058
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2016)058