Abstract
We explore the constraints and phenomenology of possibly the simplest scenario that could account at the same time for the active neutrino masses and the dark matter in the Universe within a gauged U(1)B − L symmetry, namely right-handed neutrino dark matter. We find that null searches from lepton and hadron colliders require dark matter with a mass below 900 GeV to annihilate through a resonance. Additionally, the very strong constraints from high-energy dilepton searches fully exclude the model for 150 GeV < \( {m}_{Z^{\prime }} \) < 3 TeV. We further explore the phenomenology in the high mass region (i.e. masses ≳ \( \mathcal{O} \)(1) TeV) and highlight theoretical arguments, related to the appearance of a Landau pole or an instability of the scalar potential, disfavoring large portions of this parameter space. Collectively, these considerations illustrate that a minimal extension of the Standard Model via a local U(1)B − L symmetry with a viable thermal dark matter candidate is difficult to achieve without fine-tuning. We conclude by discussing possible extensions of the model that relieve tension with collider constraints by reducing the gauge coupling required to produce the correct relic abundance.
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S. Dodelson and L.M. Widrow, Sterile-neutrinos as dark matter, Phys. Rev. Lett. 72 (1994) 17 [hep-ph/9303287] [INSPIRE].
R. Barbieri and A. Dolgov, Bounds on Sterile-neutrinos from Nucleosynthesis, Phys. Lett. B 237 (1990) 440 [INSPIRE].
K. Kainulainen, Light Singlet Neutrinos and the Primordial Nucleosynthesis, Phys. Lett. B 244 (1990) 191 [INSPIRE].
M. Drewes et al., A White Paper on keV Sterile Neutrino Dark Matter, JCAP 01 (2017) 025 [arXiv:1602.04816] [INSPIRE].
A. Boyarsky, D. Malyshev, A. Neronov and O. Ruchayskiy, Constraining DM properties with SPI, Mon. Not. Roy. Astron. Soc. 387 (2008) 1345 [arXiv:0710.4922] [INSPIRE].
H. Yuksel, J.F. Beacom and C.R. Watson, Strong Upper Limits on Sterile Neutrino Warm Dark Matter, Phys. Rev. Lett. 101 (2008) 121301 [arXiv:0706.4084] [INSPIRE].
K. Perez, K.C.Y. Ng, J.F. Beacom, C. Hersh, S. Horiuchi and R. Krivonos, Almost closing the νMSM sterile neutrino dark matter window with NuSTAR, Phys. Rev. D 95 (2017) 123002 [arXiv:1609.00667] [INSPIRE].
T. Asaka, S. Blanchet and M. Shaposhnikov, The nuMSM, dark matter and neutrino masses, Phys. Lett. B 631 (2005) 151 [hep-ph/0503065] [INSPIRE].
Y. Chikashige, R.N. Mohapatra and R.D. Peccei, Are There Real Goldstone Bosons Associated with Broken Lepton Number?, Phys. Lett. B 98 (1981) 265 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Decay and Spontaneous Violation of Lepton Number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
S.R. Coleman, Why There Is Nothing Rather Than Something: A Theory of the Cosmological Constant, Nucl. Phys. B 310 (1988) 643 [INSPIRE].
E.K. Akhmedov, Z.G. Berezhiani, R.N. Mohapatra and G. Senjanović, Planck scale effects on the majoron, Phys. Lett. B 299 (1993) 90 [hep-ph/9209285] [INSPIRE].
M. Lattanzi, R.A. Lineros and M. Taoso, Connecting neutrino physics with dark matter, New J. Phys. 16 (2014) 125012 [arXiv:1406.0004] [INSPIRE].
E. Witten, Symmetry and Emergence, Nature Phys. 14 (2018) 116 [arXiv:1710.01791] [INSPIRE].
K. Petraki and A. Kusenko, Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector, Phys. Rev. D 77 (2008) 065014 [arXiv:0711.4646] [INSPIRE].
M. Escudero, N. Rius and V. Sanz, Sterile neutrino portal to Dark Matter I: The U(1)B − L case, JHEP 02 (2017) 045 [arXiv:1606.01258] [INSPIRE].
G. Bélanger, B. Dumont, U. Ellwanger, J.F. Gunion and S. Kraml, Global fit to Higgs signal strengths and couplings and implications for extended Higgs sectors, Phys. Rev. D 88 (2013) 075008 [arXiv:1306.2941] [INSPIRE].
J. Brehmer, A. Freitas, D. Lopez-Val and T. Plehn, Pushing Higgs Effective Theory to its Limits, Phys. Rev. D 93 (2016) 075014 [arXiv:1510.03443] [INSPIRE].
A. Beniwal et al., Combined analysis of effective Higgs portal dark matter models, Phys. Rev. D 93 (2016) 115016 [arXiv:1512.06458] [INSPIRE].
J. de Blas et al., Electroweak precision observables and Higgs-boson signal strengths in the Standard Model and beyond: present and future, JHEP 12 (2016) 135 [arXiv:1608.01509] [INSPIRE].
ATLAS, CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at \( \sqrt{s}=7 \) and 8 TeV, JHEP 08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
K. Kaneta, Z. Kang and H.-S. Lee, Right-handed neutrino dark matter under the B − L gauge interaction, JHEP 02 (2017) 031 [arXiv:1606.09317] [INSPIRE].
N. Okada and S. Okada, Z ′ BL portal dark matter and LHC Run-2 results, Phys. Rev. D 93 (2016) 075003 [arXiv:1601.07526] [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].
N. Okada and S. Okada, Z′-portal right-handed neutrino dark matter in the minimal U(1)X extended Standard Model, Phys. Rev. D 95 (2017) 035025 [arXiv:1611.02672] [INSPIRE].
S. Okada, Z′ Portal Dark Matter in the Minimal B − L Model, Adv. High Energy Phys. 2018 (2018) 5340935 [arXiv:1803.06793] [INSPIRE].
N. Okada and O. Seto, Higgs portal dark matter in the minimal gauged U(1)B − L model, Phys. Rev. D 82 (2010) 023507 [arXiv:1002.2525] [INSPIRE].
T. Basak and T. Mondal, Constraining Minimal U(1)B − L model from Dark Matter Observations, Phys. Rev. D 89 (2014) 063527 [arXiv:1308.0023] [INSPIRE].
N. Okada and Y. Orikasa, Dark matter in the classically conformal B-L model, Phys. Rev. D 85 (2012) 115006 [arXiv:1202.1405] [INSPIRE].
S. Oda, N. Okada and D.-s. Takahashi, Right-handed neutrino dark matter in the classically conformal U(1)′ extended standard model, Phys. Rev. D 96 (2017) 095032 [arXiv:1704.05023] [INSPIRE].
J.C. Montero and V. Pleitez, Gauging U(1) symmetries and the number of right-handed neutrinos, Phys. Lett. B 675 (2009) 64 [arXiv:0706.0473] [INSPIRE].
E. Ma and R. Srivastava, Dirac or inverse seesaw neutrino masses with B − L gauge symmetry and S 3 flavor symmetry, Phys. Lett. B 741 (2015) 217 [arXiv:1411.5042] [INSPIRE].
S. Kanemura, T. Matsui and H. Sugiyama, Neutrino mass and dark matter from gauged U(1)B − L breaking, Phys. Rev. D 90 (2014) 013001 [arXiv:1405.1935] [INSPIRE].
S. Singirala, R. Mohanta and S. Patra, Singlet scalar Dark matter in U(1)B − L models without right-handed neutrinos, arXiv:1704.01107 [INSPIRE].
W. Wang and Z.-L. Han, Radiative linear seesaw model, dark matter and U(1)B − L, Phys. Rev. D 92 (2015) 095001 [arXiv:1508.00706] [INSPIRE].
W. Wang, R. Wang, Z.-L. Han and J.-Z. Han, The B − L Scotogenic Models for Dirac Neutrino Masses, Eur. Phys. J. C 77 (2017) 889 [arXiv:1705.00414] [INSPIRE].
M. Duerr, P. Fileviez Perez and J. Smirnov, Simplified Dirac Dark Matter Models and Gamma-Ray Lines, Phys. Rev. D 92 (2015) 083521 [arXiv:1506.05107] [INSPIRE].
A. Alves, A. Berlin, S. Profumo and F.S. Queiroz, Dirac-fermionic dark matter in U(1)X models, JHEP 10 (2015) 076 [arXiv:1506.06767] [INSPIRE].
V. De Romeri, E. Fernandez-Martinez, J. Gehrlein, P.A.N. Machado and V. Niro, Dark Matter and the elusive Z′ in a dynamical Inverse Seesaw scenario, JHEP 10 (2017) 169 [arXiv:1707.08606] [INSPIRE].
P. Fileviez Pérez and C. Murgui, Dark Matter and The Seesaw Scale, arXiv:1803.07462 [INSPIRE].
Z.-L. Han and W. Wang, Z′ Portal Dark Matter in B − L Scotogenic Dirac Model, arXiv:1805.02025 [INSPIRE].
W. Rodejohann and C.E. Yaguna, Scalar dark matter in the B-L model, JCAP 12 (2015) 032 [arXiv:1509.04036] [INSPIRE].
P. Bandyopadhyay, E.J. Chun and R. Mandal, Implications of right-handed neutrinos in B − L extended standard model with scalar dark matter, Phys. Rev. D 97 (2018) 015001 [arXiv:1707.00874] [INSPIRE].
A. Biswas, S. Choubey and S. Khan, Neutrino mass, leptogenesis and FIMP dark matter in a U(1)B − L model, Eur. Phys. J. C 77 (2017) 875 [arXiv:1704.00819] [INSPIRE].
ATLAS collaboration, Search for new high-mass phenomena in the dilepton final state using 36 fb −1 of proton-proton collision data at \( \sqrt{s}=13 \) TeV with the ATLAS detector, JHEP 10 (2017) 182 [arXiv:1707.02424] [INSPIRE].
CMS collaboration, Search for high-mass resonances in dilepton final states in proton-proton collisions at \( \sqrt{s}=13 \) TeV, JHEP 06 (2018) 120 [arXiv:1803.06292] [INSPIRE].
ATLAS collaboration, Measurement of the Drell-Yan triple-differential cross section in pp collisions at \( \sqrt{s}=8 \) TeV, JHEP 12 (2017) 059 [arXiv:1710.05167] [INSPIRE].
F. Bishara, U. Haisch and P.F. Monni, Regarding light resonance interpretations of the B decay anomalies, Phys. Rev. D 96 (2017) 055002 [arXiv:1705.03465] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
V. Hirschi and O. Mattelaer, Automated event generation for loop-induced processes, JHEP 10 (2015) 146 [arXiv:1507.00020] [INSPIRE].
E. Conte, B. Fuks and G. Serret, MadAnalysis 5, A User-Friendly Framework for Collider Phenomenology, Comput. Phys. Commun. 184 (2013) 222 [arXiv:1206.1599] [INSPIRE].
LHCb collaboration, Search for Dark Photons Produced in 13 TeV pp Collisions, Phys. Rev. Lett. 120 (2018) 061801 [arXiv:1710.02867] [INSPIRE].
P. Ilten, Y. Soreq, M. Williams and W. Xue, Serendipity in dark photon searches, JHEP 06 (2018) 004 [arXiv:1801.04847] [INSPIRE].
B. Batell, M. Pospelov and B. Shuve, Shedding Light on Neutrino Masses with Dark Forces, JHEP 08 (2016) 052 [arXiv:1604.06099] [INSPIRE].
T. Bandyopadhyay, G. Bhattacharyya, D. Das and A. Raychaudhuri, Reappraisal of constraints on Z′ models from unitarity and direct searches at the LHC, Phys. Rev. D 98 (2018) 035027 [arXiv:1803.07989] [INSPIRE].
D. Curtin, R. Essig, S. Gori and J. Shelton, Illuminating Dark Photons with High-Energy Colliders, JHEP 02 (2015) 157 [arXiv:1412.0018] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for a Dark Photon in e + e − Collisions at BaBar, Phys. Rev. Lett. 113 (2014) 201801 [arXiv:1406.2980] [INSPIRE].
BaBar collaboration, J.P. Lees et al., Search for Invisible Decays of a Dark Photon Produced in e + e − Collisions at BaBar, Phys. Rev. Lett. 119 (2017) 131804 [arXiv:1702.03327] [INSPIRE].
LEP: ALEPH, DELPHI, LEP, L3, OPAL collaborations, LEP Electroweak Working Group, SLD Electroweak Group, SLD Heavy Flavour Group, A combination of preliminary electroweak measurements and constraints on the standard model, hep-ex/0412015 [INSPIRE].
T. Appelquist, B.A. Dobrescu and A.R. Hopper, Nonexotic neutral gauge bosons, Phys. Rev. D 68 (2003) 035012 [hep-ph/0212073] [INSPIRE].
M. Carena, A. Daleo, B.A. Dobrescu and T.M.P. Tait, Z′ gauge bosons at the Tevatron, Phys. Rev. D 70 (2004) 093009 [hep-ph/0408098] [INSPIRE].
N.D. Christensen and C. Duhr, FeynRules — Feynman rules made easy, Comput. Phys. Commun. 180 (2009) 1614 [arXiv:0806.4194] [INSPIRE].
D. Barducci et al., Collider limits on new physics within MicrOMEGAs 4.3, Comput. Phys. Commun. 222 (2018) 327 [arXiv:1606.03834] [INSPIRE].
G.B. Gelmini, V. Takhistov and S.J. Witte, Casting a Wide Signal Net with Future Direct Dark Matter Detection Experiments, JCAP 07 (2018) 009 [arXiv:1804.01638] [INSPIRE].
XENON collaboration, E. Aprile et al., First Dark Matter Search Results from the XENON1T Experiment, Phys. Rev. Lett. 119 (2017) 181301 [arXiv:1705.06655] [INSPIRE].
PandaX-II collaboration, X. Cui et al., Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment, Phys. Rev. Lett. 119 (2017) 181302 [arXiv:1708.06917] [INSPIRE].
XENON collaboration, E. Aprile et al., Dark Matter Search Results from a One Tonne×Year Exposure of XENON1T, arXiv:1805.12562 [INSPIRE].
N. Anand, A.L. Fitzpatrick and W.C. Haxton, Weakly interacting massive particle-nucleus elastic scattering response, Phys. Rev. C 89 (2014) 065501 [arXiv:1308.6288] [INSPIRE].
M. Schumann, L. Baudis, L. Bütikofer, A. Kish and M. Selvi, Dark matter sensitivity of multi-ton liquid xenon detectors, JCAP 10 (2015) 016 [arXiv:1506.08309] [INSPIRE].
C. Boehm, M.J. Dolan and C. McCabe, A Lower Bound on the Mass of Cold Thermal Dark Matter from Planck, JCAP 08 (2013) 041 [arXiv:1303.6270] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
BaBar collaboration, B. Aubert et al., Search for Dimuon Decays of a Light Scalar Boson in Radiative Transitions ϒ → γA 0, Phys. Rev. Lett. 103 (2009) 081803 [arXiv:0905.4539] [INSPIRE].
DES, Fermi-LAT collaborations, A. Albert et al., Searching for Dark Matter Annihilation in Recently Discovered Milky Way Satellites with Fermi-LAT, Astrophys. J. 834 (2017) 110 [arXiv:1611.03184] [INSPIRE].
F. Staub, SARAH, arXiv:0806.0538 [INSPIRE].
F. Staub, Exploring new models in all detail with SARAH, Adv. High Energy Phys. 2015 (2015) 840780 [arXiv:1503.04200] [INSPIRE].
A. Hook, E. Izaguirre and J.G. Wacker, Model Independent Bounds on Kinetic Mixing, Adv. High Energy Phys. 2011 (2011) 859762 [arXiv:1006.0973] [INSPIRE].
E.J. Chun, J.-C. Park and S. Scopel, Dark matter and a new gauge boson through kinetic mixing, JHEP 02 (2011) 100 [arXiv:1011.3300] [INSPIRE].
Y. Mambrini, The ZZ′ kinetic mixing in the light of the recent direct and indirect dark matter searches, JCAP 07 (2011) 009 [arXiv:1104.4799] [INSPIRE].
H. An, M. Pospelov, J. Pradler and A. Ritz, Direct Detection Constraints on Dark Photon Dark Matter, Phys. Lett. B 747 (2015) 331 [arXiv:1412.8378] [INSPIRE].
M. Abdullah, J.B. Dent, B. Dutta, G.L. Kane, S. Liao and L.E. Strigari, Coherent elastic neutrino nucleus scattering as a probe of a Z′ through kinetic and mass mixing effects, Phys. Rev. D 98 (2018) 015005 [arXiv:1803.01224] [INSPIRE].
L. Basso, S. Moretti and G.M. Pruna, A Renormalisation Group Equation Study of the Scalar Sector of the Minimal B-L Extension of the Standard Model, Phys. Rev. D 82 (2010) 055018 [arXiv:1004.3039] [INSPIRE].
V.V. Khoze, C. McCabe and G. Ro, Higgs vacuum stability from the dark matter portal, JHEP 08 (2014) 026 [arXiv:1403.4953] [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].
P. Cox, C. Han and T.T. Yanagida, Right-handed Neutrino Dark Matter in a U(1) Extension of the Standard Model, JCAP 01 (2018) 029 [arXiv:1710.01585] [INSPIRE].
I.Z. Rothstein, K.S. Babu and D. Seckel, Planck scale symmetry breaking and majoron physics, Nucl. Phys. B 403 (1993) 725 [hep-ph/9301213] [INSPIRE].
R. Kallosh, A.D. Linde, D.A. Linde and L. Susskind, Gravity and global symmetries, Phys. Rev. D 52 (1995) 912 [hep-th/9502069] [INSPIRE].
CMB-S4 collaboration, K.N. Abazajian et al., CMB-S4 Science Book, First Edition, arXiv:1610.02743 [INSPIRE].
M.D. Campos, F.S. Queiroz, C.E. Yaguna and C. Weniger, Search for right-handed neutrinos from dark matter annihilation with gamma-rays, JCAP 07 (2017) 016 [arXiv:1702.06145] [INSPIRE].
B. Batell, T. Han and B. Shams Es Haghi, Indirect Detection of Neutrino Portal Dark Matter, Phys. Rev. D 97 (2018) 095020 [arXiv:1704.08708] [INSPIRE].
M.G. Folgado, G.A. Gómez-Vargas, N. Rius and R. Ruiz De Austri, Probing the sterile neutrino portal to Dark Matter with γ rays, JCAP 08 (2018) 002 [arXiv:1803.08934] [INSPIRE].
IceCube collaboration, M.G. Aartsen et al., Search for Neutrinos from Dark Matter Self-Annihilations in the center of the Milky Way with 3 years of IceCube/DeepCore, Eur. Phys. J. C 77 (2017) 627 [arXiv:1705.08103] [INSPIRE].
A. Albert et al., Results from the search for dark matter in the Milky Way with 9 years of data of the ANTARES neutrino telescope, Phys. Lett. B 769 (2017) 249 [arXiv:1612.04595] [INSPIRE].
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Escudero, M., Witte, S.J. & Rius, N. The dispirited case of gauged U(1)B − L dark matter. J. High Energ. Phys. 2018, 190 (2018). https://doi.org/10.1007/JHEP08(2018)190
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DOI: https://doi.org/10.1007/JHEP08(2018)190