Abstract
Right-handed neutrinos with MeV to GeV mass are very promising candidates for dark matter (DM). Not only can they solve the missing satellite puzzle, the cusp-core problem of inner DM density profiles, and the too-big-to fail problem, i.e. that the unobserved satellites are too big to not have visible stars, but they can also account for the Standard Model (SM) neutrino masses at one loop. We perform a comprehensive study of the right-handed neutrino parameter space and impose the correct observed relic density and SM neutrino mass differences and mixings. We find that the DM masses are in agreement with bounds from big-bang nucleosynthesis, but that these constraints induce sizeable DM couplings to the charged SM leptons. We then point out that previously overlooked limits from current and future lepton flavour violation experiments such as MEG and SINDRUM heavily constrain the allowed parameter space. Since the DM is leptophilic, we also investigate electron recoil as a possible direct detection signal, in particular in the XENON1T experiment. We find that despite the large coupling and low backgrounds, the energy thresholds are still too high and the predicted cross sections too low due to the heavy charged mediator, whose mass is constrained by LEP limits.
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References
M. Klasen, M. Pohl and G. Sigl, Indirect and direct search for dark matter, Prog. Part. Nucl. Phys. 85 (2015) 1 [arXiv:1507.03800] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
G. Jungman, M. Kamionkowski and K. Griest, Supersymmetric dark matter, Phys. Rept. 267 (1996) 195 [hep-ph/9506380] [INSPIRE].
B. Herrmann and M. Klasen, SUSY-QCD corrections to dark matter annihilation in the Higgs funnel, Phys. Rev. D 76 (2007) 117704 [arXiv:0709.0043] [INSPIRE].
B. Herrmann, M. Klasen and K. Kovarik, Neutralino annihilation into massive quarks with SUSY-QCD corrections, Phys. Rev. D 79 (2009) 061701 [arXiv:0901.0481] [INSPIRE].
B. Herrmann, M. Klasen and K. Kovarik, SUSY-QCD effects on neutralino dark matter annihilation beyond scalar or gaugino mass unification, Phys. Rev. D 80 (2009) 085025 [arXiv:0907.0030] [INSPIRE].
J. Harz, B. Herrmann, M. Klasen, K. Kovarik and Q.L. Boulc’h, Neutralino-stop coannihilation into electroweak gauge and Higgs bosons at one loop, Phys. Rev. D 87 (2013) 054031 [arXiv:1212.5241] [INSPIRE].
B. Herrmann, M. Klasen, K. Kovarik, M. Meinecke and P. Steppeler, One-loop corrections to gaugino (co)annihilation into quarks in the MSSM, Phys. Rev. D 89 (2014) 114012 [arXiv:1404.2931] [INSPIRE].
J. Harz, B. Herrmann, M. Klasen and K. Kovarik, One-loop corrections to neutralino-stop coannihilation revisited, Phys. Rev. D 91 (2015) 034028 [arXiv:1409.2898] [INSPIRE].
J. Harz, B. Herrmann, M. Klasen, K. Kovařík and M. Meinecke, SUSY-QCD corrections to stop annihilation into electroweak final states including Coulomb enhancement effects, Phys. Rev. D 91 (2015) 034012 [arXiv:1410.8063] [INSPIRE].
J. Harz, B. Herrmann, M. Klasen, K. Kovarik and P. Steppeler, Theoretical uncertainty of the supersymmetric dark matter relic density from scheme and scale variations, Phys. Rev. D 93 (2016) 114023 [arXiv:1602.08103] [INSPIRE].
S. Schmiemann, J. Harz, B. Herrmann, M. Klasen and K. Kovařík, Squark-pair annihilation into quarks at next-to-leading order, Phys. Rev. D 99 (2019) 095015 [arXiv:1903.10998] [INSPIRE].
N. Baro, F. Boudjema and A. Semenov, Full one-loop corrections to the relic density in the MSSM: a few examples, Phys. Lett. B 660 (2008) 550 [arXiv:0710.1821] [INSPIRE].
N. Baro, F. Boudjema, G. Chalons and S. Hao, Relic density at one-loop with gauge boson pair production, Phys. Rev. D 81 (2010) 015005 [arXiv:0910.3293] [INSPIRE].
F. Boudjema, G. Drieu La Rochelle and S. Kulkarni, One-loop corrections, uncertainties and approximations in neutralino annihilations: examples, Phys. Rev. D 84 (2011) 116001 [arXiv:1108.4291] [INSPIRE].
F. Boudjema, G. Drieu La Rochelle and A. Mariano, Relic density calculations beyond tree-level, exact calculations versus effective couplings: the ZZ final state, Phys. Rev. D 89 (2014) 115020 [arXiv:1403.7459] [INSPIRE].
M. Beneke, C. Hellmann and P. Ruiz-Femenia, Heavy neutralino relic abundance with Sommerfeld enhancements — a study of pMSSM scenarios, JHEP 03 (2015) 162 [arXiv:1411.6930] [INSPIRE].
M. Beneke, C. Hellmann and P. Ruiz-Femenia, Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos III. Computation of the Sommerfeld enhancements, JHEP 05 (2015) 115 [arXiv:1411.6924] [INSPIRE].
M. Beneke et al., Relic density of wino-like dark matter in the MSSM, JHEP 03 (2016) 119 [arXiv:1601.04718] [INSPIRE].
M. Klasen, K. Kovarik and P. Steppeler, SUSY-QCD corrections for direct detection of neutralino dark matter and correlations with relic density, Phys. Rev. D 94 (2016) 095002 [arXiv:1607.06396] [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Transverse-momentum resummation for gaugino-pair production at hadron colliders, Phys. Lett. B 688 (2010) 208 [arXiv:0907.1105] [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Threshold resummation for gaugino pair production at hadron colliders, Nucl. Phys. B 842 (2011) 51 [arXiv:1005.2909] [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Joint resummation for gaugino pair production at hadron colliders, Nucl. Phys. B 849 (2011) 64 [arXiv:1102.4422] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Gaugino production in proton-proton collisions at a center-of-mass energy of 8 TeV, JHEP 10 (2012) 081 [arXiv:1207.2159] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Precision predictions for electroweak superpartner production at hadron colliders with resummino, Eur. Phys. J. C 73 (2013) 2480 [arXiv:1304.0790] [INSPIRE].
B. Fuks, M. Klasen and M. Rothering, Soft gluon resummation for associated gluino-gaugino production at the LHC, JHEP 07 (2016) 053 [arXiv:1604.01023] [INSPIRE].
J. Fiaschi and M. Klasen, Neutralino-chargino pair production at NLO+NLL with resummation-improved parton density functions for LHC run II, Phys. Rev. D 98 (2018) 055014 [arXiv:1805.11322] [INSPIRE].
XENON collaboration, Dark matter search results from a one ton-year exposure of XENON1T, Phys. Rev. Lett. 121 (2018) 111302 [arXiv:1805.12562] [INSPIRE].
V. Dutta, S.L. Williams and F. Alonso, Searches for electroweak production of SUSY at CMS, talks at EPS HEP, Ghent, Belgium (2019).
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].
L. Lopez Honorez, E. Nezri, J.F. Oliver and M.H.G. Tytgat, The inert doublet model: an archetype for dark matter, JCAP 02 (2007) 028 [hep-ph/0612275] [INSPIRE].
M. Klasen, C.E. Yaguna and J.D. Ruiz-Alvarez, Electroweak corrections to the direct detection cross section of inert Higgs dark matter, Phys. Rev. D 87 (2013) 075025 [arXiv:1302.1657] [INSPIRE].
A. Goudelis, B. Herrmann and O. Stål, Dark matter in the inert doublet model after the discovery of a Higgs-like boson at the LHC, JHEP 09 (2013) 106 [arXiv:1303.3010] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
E. Ma, Verifiable radiative seesaw mechanism of neutrino mass and dark matter, Phys. Rev. D 73 (2006) 077301 [hep-ph/0601225] [INSPIRE].
D. Restrepo, O. Zapata and C.E. Yaguna, Models with radiative neutrino masses and viable dark matter candidates, JHEP 11 (2013) 011 [arXiv:1308.3655] [INSPIRE].
M. Klasen, C.E. Yaguna, J.D. Ruiz-Alvarez, D. Restrepo and O. Zapata, Scalar dark matter and fermion coannihilations in the radiative seesaw model, JCAP 04 (2013) 044 [arXiv:1302.5298] [INSPIRE].
S. Esch, M. Klasen, D.R. Lamprea and C.E. Yaguna, Lepton flavor violation and scalar dark matter in a radiative model of neutrino masses, Eur. Phys. J. C 78 (2018) 88 [arXiv:1602.05137] [INSPIRE].
S. Esch, M. Klasen and C.E. Yaguna, A singlet doublet dark matter model with radiative neutrino masses, JHEP 10 (2018) 055 [arXiv:1804.03384] [INSPIRE].
J. Fiaschi, M. Klasen and S. May, Singlet-doublet fermion and triplet scalar dark matter with radiative neutrino masses, JHEP 05 (2019) 015 [arXiv:1812.11133] [INSPIRE].
V. Springel et al., Simulating the joint evolution of quasars, galaxies and their large-scale distribution, Nature 435 (2005) 629 [astro-ph/0504097] [INSPIRE].
M. Drewes et al., A white paper on keV sterile neutrino dark matter, JCAP 01 (2017) 025 [arXiv:1602.04816] [INSPIRE].
C. Bœhm, Y. Farzan, T. Hambye, S. Palomares-Ruiz and S. Pascoli, Is it possible to explain neutrino masses with scalar dark matter?, Phys. Rev. D 77 (2008) 043516 [hep-ph/0612228] [INSPIRE].
Y. Farzan, A minimal model linking two great mysteries: neutrino mass and dark matter, Phys. Rev. D 80 (2009) 073009 [arXiv:0908.3729] [INSPIRE].
Y. Farzan, Strategies to link tiny neutrino masses with huge missing mass of the universe, Int. J. Mod. Phys. A 26 (2011) 2461 [arXiv:1106.2948] [INSPIRE].
C. Bœhm, D. Hooper, J. Silk, M. Casse and J. Paul, MeV dark matter: has it been detected?, Phys. Rev. Lett. 92 (2004) 101301 [astro-ph/0309686] [INSPIRE].
A. Arhrib, C. Bœhm, E. Ma and T.-C. Yuan, Radiative model of neutrino mass with neutrino interacting MeV dark matter, JCAP 04 (2016) 049 [arXiv:1512.08796] [INSPIRE].
J. Kubo, E. Ma and D. Suematsu, Cold dark matter, radiative neutrino mass, μ → eγ and neutrinoless double beta decay, Phys. Lett. B 642 (2006) 18 [hep-ph/0604114] [INSPIRE].
J. Kopp, V. Niro, T. Schwetz and J. Zupan, DAMA/LIBRA and leptonically interacting dark matter, Phys. Rev. D 80 (2009) 083502 [arXiv:0907.3159] [INSPIRE].
D. Schmidt, T. Schwetz and T. Toma, Direct detection of leptophilic dark matter in a model with radiative neutrino masses, Phys. Rev. D 85 (2012) 073009 [arXiv:1201.0906] [INSPIRE].
P.-H. Gu and X.-G. He, Electrophilic dark matter with dark photon: from DAMPE to direct detection, Phys. Lett. B 778 (2018) 292 [arXiv:1711.11000] [INSPIRE].
R. Essig, J. Mardon and T. Volansky, Direct detection of sub-GeV dark matter, Phys. Rev. D 85 (2012) 076007 [arXiv:1108.5383] [INSPIRE].
R. Essig, A. Manalaysay, J. Mardon, P. Sorensen and T. Volansky, First direct detection limits on sub-GeV dark matter from XENON10, Phys. Rev. Lett. 109 (2012) 021301 [arXiv:1206.2644] [INSPIRE].
R. Essig, M. Fernandez-Serra, J. Mardon, A. Soto, T. Volansky and T.-T. Yu, Direct detection of sub-GeV dark matter with semiconductor targets, JHEP 05 (2016) 046 [arXiv:1509.01598] [INSPIRE].
R. Essig, T. Volansky and T.-T. Yu, New constraints and prospects for sub-GeV dark matter scattering off electrons in xenon, Phys. Rev. D 96 (2017) 043017 [arXiv:1703.00910] [INSPIRE].
S.K. Lee, M. Lisanti, S. Mishra-Sharma and B.R. Safdi, Modulation effects in dark matter-electron scattering experiments, Phys. Rev. D 92 (2015) 083517 [arXiv:1508.07361] [INSPIRE].
ATLAS collaboration, Combination of searches for invisible Higgs boson decays with the ATLAS experiment, Phys. Rev. Lett. 122 (2019) 231801 [arXiv:1904.05105] [INSPIRE].
CMS collaboration, Search for invisible decays of a Higgs boson produced through vector boson fusion in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 793 (2019) 520 [arXiv:1809.05937] [INSPIRE].
OPAL collaboration, Search for stable and longlived massive charged particles in e+e− collisions at \( \sqrt{s} \) = 130 GeV to 209 GeV, Phys. Lett. B 572 (2003) 8 [hep-ex/0305031] [INSPIRE].
CMS collaboration, Combined measurements of Higgs boson couplings in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 79 (2019) 421 [arXiv:1809.10733] [INSPIRE].
C. Bœhm, P. Fayet and R. Schaeffer, Constraining dark matter candidates from structure formation, Phys. Lett. B 518 (2001) 8 [astro-ph/0012504] [INSPIRE].
C. Bœhm and R. Schaeffer, Constraints on dark matter interactions from structure formation: damping lengths, Astron. Astrophys. 438 (2005) 419 [astro-ph/0410591] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
S. May, Minimal dark matter models with radiative neutrino masses: from Lagrangians to observables, M.Sc. thesis, University of Münster, Münster, Germany (2018).
F. Staub, SARAH 4: a tool for (not only SUSY) model builders, Comput. Phys. Commun. 185 (2014) 1773 [arXiv:1309.7223] [INSPIRE].
W. Porod and F. Staub, SPheno 3.1: extensions including flavour, CP-phases and models beyond the MSSM, Comput. Phys. Commun. 183 (2012) 2458 [arXiv:1104.1573] [INSPIRE].
D. Barducci et al., Collider limits on new physics within MicrOMEGAs 4.3, Comput. Phys. Commun. 222 (2018) 327 [arXiv:1606.03834] [INSPIRE].
MEG collaboration, Search for the lepton flavour violating decay μ+ → e+γ with the full dataset of the MEG experiment, Eur. Phys. J. C 76 (2016) 434 [arXiv:1605.05081] [INSPIRE].
F. Renga, The quest for μ → eγ: present and future, Hyperfine Interact. 239 (2018) 58.
SINDRUM collaboration, Search for the decay μ+ → e+e+e− , Nucl. Phys. B 299 (1988) 1 [INSPIRE].
SINDRUM II collaboration, Test of lepton flavor conservation in μ → e conversion on titanium, Phys. Lett. B 317 (1993) 631 [INSPIRE].
A. Blondel et al., Research proposal for an experiment to search for the decay μ → eee, arXiv:1301.6113 [INSPIRE].
A. Sato, R&D of muon storage ring PRISM-FFAG to improve a sensitivity of μ-e conv. experiment beyond BR ∼ 10−17, PoS(NUFACT08)105 (2009).
XENON collaboration, Low-mass dark matter search using ionization signals in XENON100, Phys. Rev. D 94 (2016) 092001 [Erratum ibid. D 95 (2017) 059901] [arXiv:1605.06262] [INSPIRE].
CRESST collaboration, First results from the CRESST-III low-mass dark matter program, arXiv:1904.00498 [INSPIRE].
J.I. Read, The local dark matter density, J. Phys. G 41 (2014) 063101 [arXiv:1404.1938] [INSPIRE].
C. Bunge, J. Barrientos and A. Bunge, Roothaan-Hartree-Fock ground-state atomic wave functions: slater-type orbital expansions and expectation values for z = 2–54, Atom. Data Nucl. Data Tabl. 53 (1993) 113.
M.C. Smith et al., The RAVE survey: constraining the local galactic escape speed, Mon. Not. Roy. Astron. Soc. 379 (2007) 755 [astro-ph/0611671] [INSPIRE].
P.F. Depta, M. Hufnagel, K. Schmidt-Hoberg and S. Wild, BBN constraints on the annihilation of MeV-scale dark matter, JCAP 04 (2019) 029 [arXiv:1901.06944] [INSPIRE].
L. Baudis et al., Response of liquid xenon to Compton electrons down to 1.5 keV, Phys. Rev. D 87 (2013) 115015 [arXiv:1303.6891] [INSPIRE].
XENON collaboration, Physics reach of the XENON1T dark matter experiment, JCAP 04 (2016) 027 [arXiv:1512.07501] [INSPIRE].
XENON collaboration, Removing krypton from xenon by cryogenic distillation to the ppq level, Eur. Phys. J. C 77 (2017) 275 [arXiv:1612.04284] [INSPIRE].
XENON100 collaboration, First axion results from the XENON100 experiment, Phys. Rev. D 90 (2014) 062009 [Erratum ibid. D 95 (2017) 029904] [arXiv:1404.1455] [INSPIRE].
M. Szydagis et al., NEST: a comprehensive model for scintillation yield in liquid xenon, 2011 JINST 6 P10002 [arXiv:1106.1613] [INSPIRE].
XENON collaboration, XENON1T dark matter data analysis: signal and background models and statistical inference, Phys. Rev. D 99 (2019) 112009 [arXiv:1902.11297] [INSPIRE].
G.J. Feldman and R.D. Cousins, A unified approach to the classical statistical analysis of small signals, Phys. Rev. D 57 (1998) 3873 [physics/9711021] [INSPIRE].
XENON100 collaboration, Exclusion of leptophilic dark matter models using XENON100 electronic recoil data, Science 349 (2015) 851 [arXiv:1507.07747] [INSPIRE].
XENON100 collaboration, Observation and applications of single-electron charge signals in the XENON100 experiment, J. Phys. G 41 (2014) 035201 [arXiv:1311.1088] [INSPIRE].
XENON10 collaboration, A search for light dark matter in XENON10 data, Phys. Rev. Lett. 107 (2011) 051301 [Erratum ibid. 110 (2013) 249901] [arXiv:1104.3088] [INSPIRE].
XENON collaboration, Light dark matter search with ionization signals in XENON1T, arXiv:1907.11485 [INSPIRE].
DarkSide collaboration, Constraints on sub-GeV dark-matter-electron scattering from the DarkSide-50 experiment, Phys. Rev. Lett. 121 (2018) 111303 [arXiv:1802.06998] [INSPIRE].
M. Battaglieri et al., U.S. cosmic visions: new ideas in dark matter 2017. Community report, in U.S. cosmic visions: new ideas in dark matter, College Park, MD, U.S.A., 23–25 March 2017 [arXiv:1707.04591] [INSPIRE].
K. Ni, LBECA: a Low Background Electron Counting Apparatus for sub-GeV dark matter detection, talk given at TAUP, Toyoma, Japan (2019).
SENSEI collaboration, SENSEI: direct-detection constraints on sub-GeV dark matter from a shallow underground run using a prototype skipper-CCD, Phys. Rev. Lett. 122 (2019) 161801 [arXiv:1901.10478] [INSPIRE].
DAMIC collaboration, First direct-detection constraints on eV-scale hidden-photon dark matter with DAMIC at SNOLAB, Phys. Rev. Lett. 118 (2017) 141803 [arXiv:1611.03066] [INSPIRE].
SuperCDMS collaboration, New results from the search for low-mass weakly interacting massive particles with the CDMS low ionization threshold experiment, Phys. Rev. Lett. 116 (2016) 071301 [arXiv:1509.02448] [INSPIRE].
Y. Hochberg, M. Pyle, Y. Zhao and K.M. Zurek, Detecting superlight dark matter with Fermi-degenerate materials, JHEP 08 (2016) 057 [arXiv:1512.04533] [INSPIRE].
M. Klasen, F. Lyonnet and F.S. Queiroz, NLO+NLL collider bounds, Dirac fermion and scalar dark matter in the B-L model, Eur. Phys. J. C 77 (2017) 348 [arXiv:1607.06468] [INSPIRE].
D.A. Camargo, M.D. Campos, T.B. de Melo and F.S. Queiroz, A two Higgs doublet model for dark matter and neutrino masses, Phys. Lett. B 795 (2019) 319 [arXiv:1901.05476] [INSPIRE].
D.A. Camargo, M. Klasen and S. Zeinstra, Discovering heavy U(1)-gauged Higgs bosons at the HL-LHC, arXiv:1903.02572 [INSPIRE].
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Fiaschi, J., Klasen, M., Vargas, M. et al. MeV neutrino dark matter: relic density, lepton flavour violation and electron recoil. J. High Energ. Phys. 2019, 129 (2019). https://doi.org/10.1007/JHEP11(2019)129
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DOI: https://doi.org/10.1007/JHEP11(2019)129