Abstract
The gauged \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) symmetry is the simplest possibility to explain the observed muon g − 2, while being consistent with the neutrino oscillations through the seesaw mechanism. In this paper, we investigate if leptogenesis can work at the same time. At first glance, leptogenesis seems challenging because the right-handed neutrino masses are related to the \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) breaking scale of 10 – 100 GeV as required from the muon g − 2. Contrary to this expectation, we find that non-thermal leptogenesis with the right-handed neutrino masses of \( \mathcal{O} \)(107) GeV is possible. The successful scenario results in strict predictions on the neutrino oscillation parameters, which will be tested in future experiments.
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References
Muon g-2 collaboration, Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
Muon g-2 collaboration, Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm, Phys. Rev. Lett. 126 (2021) 141801 [arXiv:2104.03281] [INSPIRE].
Muon g-2 collaboration, Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g − 2 Experiment, Phys. Rev. D 103 (2021) 072002 [arXiv:2104.03247] [INSPIRE].
T. Aoyama et al., The anomalous magnetic moment of the muon in the Standard Model, Phys. Rept. 887 (2020) 1 [arXiv:2006.04822] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
CMD-3 collaboration, Measurement of the e+e− → π+π− cross section from threshold to 1.2 GeV with the CMD-3 detector, arXiv:2302.08834 [INSPIRE].
R. Foot, New Physics From Electric Charge Quantization?, Mod. Phys. Lett. A 6 (1991) 527 [INSPIRE].
X.-G. He, G.C. Joshi, H. Lew and R.R. Volkas, Simplest Z-prime model, Phys. Rev. D 44 (1991) 2118 [INSPIRE].
R. Foot, X.G. He, H. Lew and R.R. Volkas, Model for a light Z-prime boson, Phys. Rev. D 50 (1994) 4571 [hep-ph/9401250] [INSPIRE].
S.N. Gninenko and N.V. Krasnikov, The Muon anomalous magnetic moment and a new light gauge boson, Phys. Lett. B 513 (2001) 119 [hep-ph/0102222] [INSPIRE].
S. Baek, N.G. Deshpande, X.G. He and P. Ko, Muon anomalous g − 2 and gauged Lμ − Lτ models, Phys. Rev. D 64 (2001) 055006 [hep-ph/0104141] [INSPIRE].
B. Murakami, The Impact of lepton flavor violating Z-prime bosons on muon g − 2 and other muon observables, Phys. Rev. D 65 (2002) 055003 [hep-ph/0110095] [INSPIRE].
E. Ma, D.P. Roy and S. Roy, Gauged Lμ − Lτ with large muon anomalous magnetic moment and the bimaximal mixing of neutrinos, Phys. Lett. B 525 (2002) 101 [hep-ph/0110146] [INSPIRE].
M. Bauer, P. Foldenauer and J. Jaeckel, Hunting All the Hidden Photons, JHEP 07 (2018) 094 [arXiv:1803.05466] [INSPIRE].
H.K. Dreiner, H.E. Haber and S.P. Martin, Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry, Phys. Rept. 494 (2010) 1 [arXiv:0812.1594] [INSPIRE].
K. Harigaya et al., Muon g − 2 and LHC phenomenology in the Lμ − Lτ gauge symmetric model, JHEP 03 (2014) 105 [arXiv:1311.0870] [INSPIRE].
K. Asai, K. Hamaguchi and N. Nagata, Predictions for the neutrino parameters in the minimal gauged \( U{(1)}_{L_{\mu }-{L}_{\tau }} \) model, Eur. Phys. J. C 77 (2017) 763 [arXiv:1705.00419] [INSPIRE].
K. Asai et al., Minimal Gauged \( U{(1)}_{L_{\alpha }-{L}_{\beta }} \) Models Driven into a Corner, Phys. Rev. D 99 (2019) 055029 [arXiv:1811.07571] [INSPIRE].
J. Heeck and W. Rodejohann, Gauged Lμ − Lτ Symmetry at the Electroweak Scale, Phys. Rev. D 84 (2011) 075007 [arXiv:1107.5238] [INSPIRE].
T. Araki, J. Heeck and J. Kubo, Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries, JHEP 07 (2012) 083 [arXiv:1203.4951] [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
S.L. Glashow, The Future of Elementary Particle Physics, NATO Sci. Ser. B 61 (1980) 687 [INSPIRE].
R.N. Mohapatra and G. Senjanovic, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
T. Aoyama, M. Hayakawa, T. Kinoshita and M. Nio, Complete Tenth-Order QED Contribution to the Muon g − 2, Phys. Rev. Lett. 109 (2012) 111808 [arXiv:1205.5370].
T. Aoyama, T. Kinoshita and M. Nio, Theory of the Anomalous Magnetic Moment of the Electron, Atoms 7 (2019) 28.
A. Czarnecki, W.J. Marciano and A. Vainshtein, Refinements in electroweak contributions to the muon anomalous magnetic moment, Phys. Rev. D 67 (2003) 073006 [Erratum ibid. 73 (2006) 119901] [hep-ph/0212229].
C. Gnendiger, D. Stöckinger and H. Stöckinger-Kim, The electroweak contributions to (g − 2)μ after the Higgs boson mass measurement, Phys. Rev. D 88 (2013) 053005 [arXiv:1306.5546].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g − 2 and α(\( {m}_Z^2 \)) using newest hadronic cross-section data, Eur. Phys. J. C 77 (2017) 827 [arXiv:1706.09436].
A. Keshavarzi, D. Nomura and T. Teubner, Muon g − 2 and α(\( {M}_Z^2 \)): a new data-based analysis, Phys. Rev. D 97 (2018) 114025 [arXiv:1802.02995].
G. Colangelo, M. Hoferichter and P. Stoffer, Two-pion contribution to hadronic vacuum polarization, JHEP 02 (2019) 006 [arXiv:1810.00007].
M. Hoferichter, B.-L. Hoid and B. Kubis, Three-pion contribution to hadronic vacuum polarization, JHEP 08 (2019) 137 [arXiv:1907.01556].
M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to α(\( {m}_Z^2 \)), Eur. Phys. J. C 80 (2020) 241 [Erratum ibid. 80 (2020) 410] [arXiv:1908.00921].
A. Keshavarzi, D. Nomura and T. Teubner, g − 2 of charged leptons, α(\( {M}_Z^2 \)), and the hyperfine splitting of muonium, Phys. Rev. D 101 (2020) 014029 [arXiv:1911.00367].
A. Kurz, T. Liu, P. Marquard and M. Steinhauser, Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order, Phys. Lett. B 734 (2014) 144 [arXiv:1403.6400].
K. Melnikov and A. Vainshtein, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited, Phys. Rev. D 70 (2004) 113006 [hep-ph/0312226].
P. Masjuan and P. Sanchez-Puertas, Pseudoscalar-pole contribution to the (gμ − 2): a rational approach, Phys. Rev. D 95 (2017) 054026 [arXiv:1701.05829].
G. Colangelo, M. Hoferichter, M. Procura and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: two-pion contributions, JHEP 04 (2017) 161 [arXiv:1702.07347].
M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold and S.P. Schneider, Dispersion relation for hadronic light-by-light scattering: pion pole, JHEP 10 (2018) 141 [arXiv:1808.04823].
A. Gérardin, H.B. Meyer and A. Nyffeler, Lattice calculation of the pion transition form factor with Nf = 2 + 1 Wilson quarks, Phys. Rev. D 100 (2019) 034520 [arXiv:1903.09471].
J. Bijnens, N. Hermansson-Truedsson and A. Rodríguez-Sánchez, Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment, Phys. Lett. B 798 (2019) 134994 [arXiv:1908.03331].
G. Colangelo, F. Hagelstein, M. Hoferichter, L. Laub and P. Stoffer, Longitudinal short-distance constraints for the hadronic light-by-light contribution to (g − 2)μ with large-Nc Regge models, JHEP 03 (2020) 101 [arXiv:1910.13432].
T. Blum et al., Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD, Phys. Rev. Lett. 124 (2020) 132002 [arXiv:1911.08123].
G. Colangelo, M. Hoferichter, A. Nyffeler, M. Passera and P. Stoffer, Remarks on higher-order hadronic corrections to the muon g − 2, Phys. Lett. B 735 (2014) 90 [arXiv:1403.7512].
K. Kumekawa, T. Moroi and T. Yanagida, Flat potential for inflaton with a discrete R invariance in supergravity, Prog. Theor. Phys. 92 (1994) 437 [hep-ph/9405337] [INSPIRE].
T. Asaka, K. Hamaguchi, M. Kawasaki and T. Yanagida, Leptogenesis in inflationary universe, Phys. Rev. D 61 (2000) 083512 [hep-ph/9907559] [INSPIRE].
L. Lavoura, Zeros of the inverted neutrino mass matrix, Phys. Lett. B 609 (2005) 317 [hep-ph/0411232] [INSPIRE].
E.I. Lashin and N. Chamoun, Zero minors of the neutrino mass matrix, Phys. Rev. D 78 (2008) 073002 [arXiv:0708.2423] [INSPIRE].
W. Altmannshofer, S. Gori, M. Pospelov and I. Yavin, Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams, Phys. Rev. Lett. 113 (2014) 091801 [arXiv:1406.2332] [INSPIRE].
R. Harnik, J. Kopp and P.A.N. Machado, Exploring nu Signals in Dark Matter Detectors, JCAP 07 (2012) 026 [arXiv:1202.6073] [INSPIRE].
S. Bilmis et al., Constraints on Dark Photon from Neutrino-Electron Scattering Experiments, Phys. Rev. D 92 (2015) 033009 [arXiv:1502.07763] [INSPIRE].
BaBar collaboration, Search for a muonic dark force at BABAR, Phys. Rev. D 94 (2016) 011102 [arXiv:1606.03501] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
I. Esteban et al., The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641 (2020) A6 [Erratum ibid. 652 (2021) C4] [arXiv:1807.06209] [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].
BaBar collaboration, Searches for Lepton Flavor Violation in the Decays τ± → e±γ and τ± → μ±γ, Phys. Rev. Lett. 104 (2010) 021802 [arXiv:0908.2381] [INSPIRE].
KamLAND-Zen collaboration, Search for the Majorana Nature of Neutrinos in the Inverted Mass Ordering Region with KamLAND-Zen, Phys. Rev. Lett. 130 (2023) 051801 [arXiv:2203.02139] [INSPIRE].
GERDA collaboration, Final Results of GERDA on the Search for Neutrinoless Double-β Decay, Phys. Rev. Lett. 125 (2020) 252502 [arXiv:2009.06079] [INSPIRE].
M. Escudero, D. Hooper, G. Krnjaic and M. Pierre, Cosmology with A Very Light Lμ − Lτ Gauge Boson, JHEP 03 (2019) 071 [arXiv:1901.02010] [INSPIRE].
ATLAS and CMS collaborations, Searches for invisible Higgs decays at the LHC, PoS LHCP2021 (2021) 076 [INSPIRE].
T. Nomura and T. Shimomura, Searching for scalar boson decaying into light Z′ boson at collider experiments in \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) model, Eur. Phys. J. C 79 (2019) 594 [arXiv:1803.00842] [INSPIRE].
B. Adhikary, Soft breaking of Lμ − Lτ symmetry: Light neutrino spectrum and Leptogenesis, Phys. Rev. D 74 (2006) 033002 [hep-ph/0604009] [INSPIRE].
E.K. Akhmedov, V.A. Rubakov and A.Y. Smirnov, Baryogenesis via neutrino oscillations, Phys. Rev. Lett. 81 (1998) 1359 [hep-ph/9803255] [INSPIRE].
T. Asaka and M. Shaposhnikov, The νMSM, dark matter and baryon asymmetry of the universe, Phys. Lett. B 620 (2005) 17 [hep-ph/0505013] [INSPIRE].
A. Pilaftsis and T.E.J. Underwood, Resonant leptogenesis, Nucl. Phys. B 692 (2004) 303 [hep-ph/0309342] [INSPIRE].
G.F. Giudice et al., Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys. B 685 (2004) 89 [hep-ph/0310123] [INSPIRE].
D. Borah, A. Dasgupta and D. Mahanta, TeV scale resonant leptogenesis with Lμ − Lτ gauge symmetry in light of the muon g − 2, Phys. Rev. D 104 (2021) 075006 [arXiv:2106.14410] [INSPIRE].
M. Abdullah et al., 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].
S.N. Gninenko, N.V. Krasnikov and V.A. Matveev, Muon g − 2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN, Phys. Rev. D 91 (2015) 095015 [arXiv:1412.1400] [INSPIRE].
S.N. Gninenko and N.V. Krasnikov, Probing the muon gμ − 2 anomaly, Lμ − Lτ gauge boson and Dark Matter in dark photon experiments, Phys. Lett. B 783 (2018) 24 [arXiv:1801.10448] [INSPIRE].
K. Abazajian et al., CMB-S4 Science Case, Reference Design, and Project Plan, arXiv:1907.04473 [INSPIRE].
M.W. Winkler, Decay and detection of a light scalar boson mixing with the Higgs boson, Phys. Rev. D 99 (2019) 015018 [arXiv:1809.01876] [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables, arXiv:1101.0593 [https://doi.org/10.5170/CERN-2011-002] [INSPIRE].
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Eijima, S., Ibe, M. & Murai, K. Muon g − 2 and non-thermal leptogenesis in \( \textrm{U}{(1)}_{L_{\mu }-{L}_{\tau }} \) model. J. High Energ. Phys. 2023, 10 (2023). https://doi.org/10.1007/JHEP05(2023)010
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DOI: https://doi.org/10.1007/JHEP05(2023)010