Abstract
We present some R-parity conserving supersymmetric models which can accommodate the 3.5 keV X-ray line reported in recent spectral studies of the Perseus galaxy cluster and the Andromeda galaxy. Within the Minimal Supersymmetric Standard Model (MSSM) framework, the dark matter (DM) gravitino (or the axino) with mass of around 7 keV decays into a massless neutralino (bino) and a photon with lifetime ∼ 1028 sec. The massless bino contributes to the effective number of neutrino species N eff and future data will test this prediction. In the context of NMSSM, we first consider scenarios where the bino is massless and the singlino mass is around 7 keV. We also consider quasi-degenerate bino-singlino scenarios where the mass scale of DM particles are O(GeV) or larger. In such a scenario we require the mass gap to generate the 3.5 keV line. We comment on the possibility of a 7 keV singlino decaying via R parity violating couplings while all other neutralinos are heavy.
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E. Bulbul et al., Detection of an unidentified emission line in the stacked X-ray spectrum of galaxy clusters, Astrophys. J. 789 (2014) 13 [arXiv:1402.2301] [INSPIRE].
A. Boyarsky, O. Ruchayskiy, D. Iakubovskyi and J. Franse, An unidentified line in X-ray spectra of the Andromeda galaxy and Perseus galaxy cluster, arXiv:1402.4119 [INSPIRE].
S. Chakraborty, D.K. Ghosh and S. Roy, 7 keV sterile neutrino dark matter in U(1) R − lepton number model, arXiv:1405.6967 [INSPIRE].
K. Nakayama, F. Takahashi and T.T. Yanagida, Extra light fermions in E 6 -inspired models and the 3.5 keV X-ray line signal, Phys. Lett. B 737 (2014) 311 [arXiv:1405.4670] [INSPIRE].
S. Baek, P. Ko and W.-I. Park, The 3.5 keV X-ray line signature from annihilating and decaying dark matter in Weinberg model, arXiv:1405.3730 [INSPIRE].
J.P. Conlon and F.V. Day, 3.55 keV photon lines from axion to photon conversion in the Milky Way and M31, arXiv:1404.7741 [INSPIRE].
H. Okada and T. Toma, 3.55 keV X-ray line signal from excited dark matter in radiative neutrino model, Phys. Lett. B 737 (2014) 162 [arXiv:1404.4795] [INSPIRE].
J.M. Cline, Y. Farzan, Z. Liu, G.D. Moore and W. Xue, 3.5 keV X-rays as the “21 cm line” of dark atoms and a link to light sterile neutrinos, Phys. Rev. D 89 (2014) 121302 [arXiv:1404.3729] [INSPIRE].
K.P. Modak, 3.5 keV X-ray line signal from decay of right-handed neutrino due to transition magnetic moment, arXiv:1404.3676 [INSPIRE].
K.S. Babu and R.N. Mohapatra, 7 keV scalar dark matter and the anomalous galactic X-ray spectrum, Phys. Rev. D 89 (2014) 115011 [arXiv:1404.2220] [INSPIRE].
E. Dudas, L. Heurtier and Y. Mambrini, Generating X-ray lines from annihilating dark matter, Phys. Rev. D 90 (2014) 035002 [arXiv:1404.1927] [INSPIRE].
F.S. Queiroz and K. Sinha, The poker face of the Majoron dark matter model: LUX to keV line, Phys. Lett. B 735 (2014) 69 [arXiv:1404.1400] [INSPIRE].
Z. Kang, P. Ko, T. Li and Y. Liu, Natural X-ray lines from the low scale supersymmetry breaking, arXiv:1403.7742 [INSPIRE].
K. Nakayama, F. Takahashi and T.T. Yanagida, Anomaly-free flavor models for Nambu-Goldstone bosons and the 3.5 keV X-ray line signal, Phys. Lett. B 734 (2014) 178 [arXiv:1403.7390] [INSPIRE].
R. Allahverdi, B. Dutta and Y. Gao, keV photon emission from light nonthermal dark matter, Phys. Rev. D 89 (2014) 127305 [arXiv:1403.5717] [INSPIRE].
M. Cicoli, J.P. Conlon, M.C.D. Marsh and M. Rummel, A 3.55 keV photon line and its morphology from a 3.55 keV ALP line, Phys. Rev. D 90 (2014) 023540 [arXiv:1403.2370] [INSPIRE].
S. Baek and H. Okada, 7 keV dark matter as X-ray line signal in radiative neutrino model, arXiv:1403.1710 [INSPIRE].
K. Nakayama, F. Takahashi and T.T. Yanagida, The 3.5 keV X-ray line signal from decaying moduli with low cutoff scale, Phys. Lett. B 735 (2014) 338 [arXiv:1403.1733] [INSPIRE].
M.T. Frandsen, F. Sannino, I.M. Shoemaker and O. Svendsen, X-ray lines from dark matter: the good, the bad and the unlikely, JCAP 05 (2014) 033 [arXiv:1403.1570] [INSPIRE].
R. Krall, M. Reece and T. Roxlo, Effective field theory and keV lines from dark matter, JCAP 09 (2014) 007 [arXiv:1403.1240] [INSPIRE].
K.N. Abazajian, Resonantly-produced 7 keV sterile neutrino dark matter models and the properties of Milky Way satellites, Phys. Rev. Lett. 112 (2014) 161303 [arXiv:1403.0954] [INSPIRE].
H.M. Lee, S.C. Park and W.-I. Park, Cluster X-ray line at 3.5 keV from axion-like dark matter, Eur. Phys. J. C 74 (2014) 3062 [arXiv:1403.0865] [INSPIRE].
J. Jaeckel, J. Redondo and A. Ringwald, A 3.55 keV hint for decaying axion-like particle dark matter, Phys. Rev. D 89 (2014) 103511 [arXiv:1402.7335] [INSPIRE].
T. Higaki, K.S. Jeong and F. Takahashi, The 7 keV axion dark matter and the X-ray line signal, Phys. Lett. B 733 (2014) 25 [arXiv:1402.6965] [INSPIRE].
D.P. Finkbeiner and N. Weiner, An X-ray line from exciting dark matter, arXiv:1402.6671 [INSPIRE].
H. Ishida, K.S. Jeong and F. Takahashi, 7 keV sterile neutrino dark matter from split flavor mechanism, Phys. Lett. B 732 (2014) 196 [arXiv:1402.5837] [INSPIRE].
J.-C. Park, S.C. Park and K. Kong, X-ray line signal from 7 keV axino dark matter decay, Phys. Lett. B 733 (2014) 217 [arXiv:1403.1536] [INSPIRE].
K.-Y. Choi and O. Seto, X-ray line signal from decaying axino warm dark matter, Phys. Lett. B 735 (2014) 92 [arXiv:1403.1782] [INSPIRE].
S.P. Liew, Axino dark matter in light of an anomalous X-ray line, JCAP 05 (2014) 044 [arXiv:1403.6621] [INSPIRE].
S.V. Demidov and D.S. Gorbunov, SUSY in the sky or a keV signature of sub-GeV gravitino dark matter, arXiv:1404.1339 [INSPIRE].
N.E. Bomark and L. Roszkowski, 3.5 keV X-ray line from decaying gravitino dark matter, Phys. Rev. D 90 (2014) 011701 [arXiv:1403.6503] [INSPIRE].
C. Kolda and J. Unwin, X-ray lines from R-parity violating decays of keV sparticles, Phys. Rev. D 90 (2014) 023535 [arXiv:1403.5580] [INSPIRE].
A. Bartl, H. Fraas, W. Majerotto and N. Oshimo, The neutralino mass matrix in the minimal supersymmetric model, Phys. Rev. D 40 (1989) 1594 [INSPIRE].
I. Gogoladze, J.D. Lykken, C. Macesanu and S. Nandi, Implications of a massless neutralino for neutrino physics, Phys. Rev. D 68 (2003) 073004 [hep-ph/0211391] [INSPIRE].
H.K. Dreiner et al., Mass bounds on a very light neutralino, Eur. Phys. J. C 62 (2009) 547 [arXiv:0901.3485] [INSPIRE].
ATLAS collaboration, Search for direct production of charginos, neutralinos and sleptons in final states with two leptons and missing transverse momentum in pp collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, JHEP 05 (2014) 071 [arXiv:1403.5294] [INSPIRE].
ATLAS collaboration, Search for direct production of charginos and neutralinos in events with three leptons and missing transverse momentum in \( \sqrt{s} \) =8 TeV pp collisions with the ATLAS detector, JHEP 04 (2014) 169 [arXiv:1402.7029] [INSPIRE].
G.R. Blumenthal, H. Pagels and J.R. Primack, Galaxy formation by dissipationless particles heavier than neutrinos, Nature 299 (1982) 37 [INSPIRE].
P. Bode, J.P. Ostriker and N. Turok, Halo formation in warm dark matter models, Astrophys. J. 556 (2001) 93 [astro-ph/0010389] [INSPIRE].
A. Corsetti and P. Nath, Gaugino mass nonuniversality and dark matter in SUGRA, strings and D-brane models, Phys. Rev. D 64 (2001) 125010 [hep-ph/0003186] [INSPIRE].
B. Ananthanarayan and P.N. Pandita, Sparticle mass spectrum in grand unified theories, Int. J. Mod. Phys. A 22 (2007) 3229 [arXiv:0706.2560] [INSPIRE].
S. Bhattacharya, A. Datta and B. Mukhopadhyaya, Non-universal gaugino masses: a signal-based analysis for the Large Hadron Collider, JHEP 10 (2007) 080 [arXiv:0708.2427] [INSPIRE].
S.P. Martin, Non-universal gaugino masses from non-singlet F-terms in non-minimal unified models, Phys. Rev. D 79 (2009) 095019 [arXiv:0903.3568] [INSPIRE].
J. Chakrabortty and A. Raychaudhuri, A note on dimension-5 operators in GUTs and their impact, Phys. Lett. B 673 (2009) 57 [arXiv:0812.2783] [INSPIRE].
S.P. Martin, Nonuniversal gaugino masses and seminatural supersymmetry in view of the Higgs boson discovery, Phys. Rev. D 89 (2014) 035011 [arXiv:1312.0582] [INSPIRE].
M.A. Ajaib, I. Gogoladze and Q. Shafi, Sparticle spectroscopy from SO(10) GUT with a unified Higgs sector, Phys. Rev. D 88 (2013) 095019 [arXiv:1307.4882] [INSPIRE].
K.S. Babu, I. Gogoladze, P. Nath and R.M. Syed, A unified framework for symmetry breaking in SO(10), Phys. Rev. D 72 (2005) 095011 [hep-ph/0506312] [INSPIRE].
K.S. Babu, I. Gogoladze, P. Nath and R.M. Syed, Fermion mass generation in SO(10) with a unified Higgs sector, Phys. Rev. D 74 (2006) 075004 [hep-ph/0607244] [INSPIRE].
A. Anandakrishnan and S. Raby, Yukawa unification predictions with effective “mirage” mediation, Phys. Rev. Lett. 111 (2013) 211801 [arXiv:1303.5125] [INSPIRE].
P. Meade, N. Seiberg and D. Shih, General gauge mediation, Prog. Theor. Phys. Suppl. 177 (2009) 143 [arXiv:0801.3278] [INSPIRE].
M. Buican, P. Meade, N. Seiberg and D. Shih, Exploring general gauge mediation, JHEP 03 (2009) 016 [arXiv:0812.3668] [INSPIRE].
S.P. Martin, A supersymmetry primer, Adv. Ser. Direct. High Energy Phys. 21 (2010) 1 [hep-ph/9709356] [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic contributions to the muon g −2 and to α(M 2 Z ), Eur. Phys. J. C 71 (2011) 1515 [Erratum ibid. C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g −2) μ and α(M 2 Z ) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
I. Gogoladze, F. Nasir, Q. Shafi and C.S. Un, Nonuniversal gaugino masses and muon g −2, Phys. Rev. D 90 (2014) 035008 [arXiv:1403.2337] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XVI. Cosmological parameters, Astron. Astrophys. (2014) [arXiv:1303.5076] [INSPIRE].
A.G. Riess et al., A 3% solution: determination of the Hubble constant with the Hubble Space Telescope and Wide Field Camera 3, Astrophys. J. 730 (2011) 119 [Erratum ibid. 732 (2011) 129] [arXiv:1103.2976] [INSPIRE].
M. Wyman, D.H. Rudd, R.A. Vanderveld and W. Hu, Neutrinos Help Reconcile Planck Measurements with the Local Universe, Phys. Rev. Lett. 112 (2014) 051302 [arXiv:1307.7715] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-Mode Polarization at Degree Angular Scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
C. Dvorkin, M. Wyman, D.H. Rudd and W. Hu, Neutrinos help reconcile Planck measurements with both Early and Local Universe, Phys. Rev. D 90 (2014) 083503 [arXiv:1403.8049] [INSPIRE].
J.-F. Zhang, Y.-H. Li and X. Zhang, Cosmological constraints on neutrinos after BICEP2, Eur. Phys. J. C 74 (2014) 2954 [arXiv:1404.3598] [INSPIRE].
G.F. Giudice and R. Rattazzi, Theories with gauge mediated supersymmetry breaking, Phys. Rept. 322 (1999) 419 [hep-ph/9801271] [INSPIRE].
M. Grefe, Unstable gravitino dark matter — prospects for indirect and direct detection, arXiv:1111.6779 [INSPIRE].
G. Dvali, Black holes and large-N species solution to the hierarchy problem, Fortsch. Phys. 58 (2010) 528 [arXiv:0706.2050] [INSPIRE].
R. Brustein, G. Dvali and G. Veneziano, A bound on the effective gravitational coupling from semiclassical black holes, JHEP 10 (2009) 085 [arXiv:0907.5516] [INSPIRE].
G. Dvali, Black hole constraints on modifications of gravity, http://darkuniverse.uni-hd.de/pub/Main/HD_TRR332009_program/dvali.pdf.
G. Dvali, Microscopic gravity and particle physics, http://www.mpi-hd.mpg.de/lin/seminar_theory/talks/dvali.pptx.
M. Bolz, A. Brandenburg and W. Buchmüller, Thermal production of gravitinos, Nucl. Phys. B 606 (2001) 518 [Erratum ibid. B 790 (2008) 336] [hep-ph/0012052] [INSPIRE].
T. Moroi, H. Murayama and M. Yamaguchi, Cosmological constraints on the light stable gravitino, Phys. Lett. B 303 (1993) 289 [INSPIRE].
R. Allahverdi, B. Dutta and K. Sinha, Baryogenesis and late-decaying moduli, Phys. Rev. D 82 (2010) 035004 [arXiv:1005.2804] [INSPIRE].
K.S. Babu, R.N. Mohapatra and S. Nasri, Post-sphaleron baryogenesis, Phys. Rev. Lett. 97 (2006) 131301 [hep-ph/0606144] [INSPIRE].
R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
J.E. Kim and M.-S. Seo, Mixing of axino and goldstino and axino mass, Nucl. Phys. B 864 (2012) 296 [arXiv:1204.5495] [INSPIRE].
H.P. Nilles and S. Raby, Supersymmetry and the strong CP problem, Nucl. Phys. B 198 (1982) 102 [INSPIRE].
K. Rajagopal, M.S. Turner and F. Wilczek, Cosmological implications of axinos, Nucl. Phys. B 358 (1991) 447 [INSPIRE].
L. Covi, H.-B. Kim, J.E. Kim and L. Roszkowski, Axinos as dark matter, JHEP 05 (2001) 033 [hep-ph/0101009] [INSPIRE].
K.-Y. Choi, J.E. Kim and L. Roszkowski, Review of axino dark matter, J. Korean Phys. Soc. 63 (2013) 1685 [arXiv:1307.3330] [INSPIRE].
P. Fox, A. Pierce and S.D. Thomas, Probing a QCD string axion with precision cosmological measurements, hep-th/0409059 [INSPIRE].
M. Dine and W. Fischler, The not so harmless axion, Phys. Lett. B 120 (1983) 137 [INSPIRE].
G. Lazarides, C. Panagiotakopoulos and Q. Shafi, Relaxing the cosmological bound on axions, Phys. Lett. B 192 (1987) 323 [INSPIRE].
G. Lazarides, R.K. Schaefer, D. Seckel and Q. Shafi, Dilution of cosmological axions by entropy production, Nucl. Phys. B 346 (1990) 193 [INSPIRE].
M. Kawasaki, T. Moroi and T. Yanagida, Can decaying particles raise the upper bound on the Peccei-Quinn scale?, Phys. Lett. B 383 (1996) 313 [hep-ph/9510461] [INSPIRE].
J.P. Conlon, The QCD axion and moduli stabilisation, JHEP 05 (2006) 078 [hep-th/0602233] [INSPIRE].
P. Svrček and E. Witten, Axions in string theory, JHEP 06 (2006) 051 [hep-th/0605206] [INSPIRE].
M. Cicoli, M. Goodsell and A. Ringwald, The type IIB string axiverse and its low-energy phenomenology, JHEP 10 (2012) 146 [arXiv:1206.0819] [INSPIRE].
J. McDonald and N. Sahu, keV warm dark matter via the supersymmetric Higgs portal, Phys. Rev. D 79 (2009) 103523 [arXiv:0809.0247] [INSPIRE].
U. Ellwanger and C. Hugonie, Neutralino cascades in the (M +1)SSM, Eur. Phys. J. C 5 (1998) 723 [hep-ph/9712300] [INSPIRE].
B.W. Lee and R.E. Shrock, Natural suppression of symmetry violation in gauge theories: muon-lepton and electron lepton number nonconservation, Phys. Rev. D 16 (1977) 1444 [INSPIRE].
H.E. Haber and D. Wyler, Radiative neutralino decay, Nucl. Phys. B 323 (1989) 267 [INSPIRE].
H. Baer and T. Krupovnickas, Radiative neutralino decay in supersymmetric models, JHEP 09 (2002) 038 [hep-ph/0208277] [INSPIRE].
R. Allahverdi, B. Dutta and K. Sinha, Cladogenesis: baryon-dark matter coincidence from branchings in moduli decay, Phys. Rev. D 83 (2011) 083502 [arXiv:1011.1286] [INSPIRE].
R. Allahverdi, M. Cicoli, B. Dutta and K. Sinha, Nonthermal dark matter in string compactifications, Phys. Rev. D 88 (2013) 095015 [arXiv:1307.5086] [INSPIRE].
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ArXiv ePrint: 1407.0863
On leave of absence from: Andronikashvili Institute of Physics, 0177 Tbilisi, Georgia. (Ilia Gogoladze)
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Dutta, B., Gogoladze, I., Khalid, R. et al. 3.5 keV X-ray line and R-parity conserving supersymmetry. J. High Energ. Phys. 2014, 18 (2014). https://doi.org/10.1007/JHEP11(2014)018
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DOI: https://doi.org/10.1007/JHEP11(2014)018