A common framework for fermion mass hierarchy, leptogenesis and dark matter
Abstract: In this work, we explore an extension of the Standard Model designed to elucidate the fermion mass hierarchy, account for the dark matter relic abundance, and explain the observed matter-antimatter asymmetry in the universe. Beyond the Standard Model particle content, our model introduces additional scalars and fermions. Notably, the light active neutrinos and the first two generations of charged fermions acquire masses at the one-loop level. The model accommodates successful low-scale leptogenesis, permitting the mass of the decaying heavy right-handed neutrino to be as low as 10 TeV. We conduct a detailed analysis of the dark matter phenomenology and explore various interesting phenomenological implications. These include charged lepton flavor violation, muon and electron anomalous magnetic moments, constraints arising from electroweak precision observables, and implications for collider experiments.
- A. B. McDonald, “Nobel Lecture: The Sudbury Neutrino Observatory: Observation of flavor change for solar neutrinos,” Rev.Mod.Phys. 88 (2016) 030502.
- T. Kajita, “Nobel Lecture: Discovery of atmospheric neutrino oscillations,” Rev.Mod.Phys. 88 (2016) 030501.
- Planck Collaboration, N. Aghanim et al., “Planck 2018 results. VI. Cosmological parameters,” Astron. Astrophys. 641 (2020) A6, arXiv:1807.06209 [astro-ph.CO]. [Erratum: Astron.Astrophys. 652, C4 (2021)].
- G. Bertone, D. Hooper, and J. Silk, “Particle dark matter: Evidence, candidates and constraints,” Phys.Rept. 405 (2005) 279–390, arXiv:hep-ph/0404175 [hep-ph].
- N. G. Deshpande and E. Ma, “Pattern of Symmetry Breaking with Two Higgs Doublets,” Phys. Rev. D 18 (1978) 2574.
- Z.-j. Tao, “Radiative seesaw mechanism at weak scale,” Phys. Rev. D 54 (1996) 5693–5697, arXiv:hep-ph/9603309.
- M. Fukugita and T. Yanagida, “Baryogenesis Without Grand Unification,” Phys. Lett. B 174 (1986) 45–47.
- 1990.
- B. S. Balakrishna, A. L. Kagan, and R. N. Mohapatra, “Quark Mixings and Mass Hierarchy From Radiative Corrections,” Phys. Lett. B205 (1988) 345–352.
- E. Ma, “Radiative Quark and Lepton Masses Through Soft Supersymmetry Breaking,” Phys. Rev. D39 (1989) 1922.
- E. Ma, D. Ng, J. T. Pantaleone, and G.-G. Wong, “One Loop Induced Fermion Masses and Exotic Interactions in a Standard Model Context,” Phys. Rev. D40 (1989) 1586.
- E. Ma, “Hierarchical Radiative Quark and Lepton Mass Matrices,” Phys. Rev. Lett. 64 (1990) 2866–2869.
- E. Ma, “Pathways to naturally small neutrino masses,” Phys. Rev. Lett. 81 (1998) 1171–1174, arXiv:hep-ph/9805219 [hep-ph].
- E. Ma, “Verifiable radiative seesaw mechanism of neutrino mass and dark matter,” Phys. Rev. D73 (2006) 077301, arXiv:hep-ph/0601225 [hep-ph].
- P.-H. Gu and U. Sarkar, “Radiative Neutrino Mass, Dark Matter and Leptogenesis,” Phys. Rev. D77 (2008) 105031, arXiv:0712.2933 [hep-ph].
- E. Ma and D. Suematsu, “Fermion Triplet Dark Matter and Radiative Neutrino Mass,” Mod. Phys. Lett. A24 (2009) 583–589, arXiv:0809.0942 [hep-ph].
- M. Hirsch, R. A. Lineros, S. Morisi, J. Palacio, N. Rojas, and J. W. F. Valle, “WIMP dark matter as radiative neutrino mass messenger,” JHEP 10 (2013) 149, arXiv:1307.8134 [hep-ph].
- A. Aranda and E. Peinado, “A new radiative neutrino mass generation mechanism with higher dimensional scalar representations and custodial symmetry,” Phys. Lett. B 754 (2016) 11–13, arXiv:1508.01200 [hep-ph].
- D. Restrepo, A. Rivera, M. Sánchez-Peláez, O. Zapata, and W. Tangarife, “Radiative Neutrino Masses in the Singlet-Doublet Fermion Dark Matter Model with Scalar Singlets,” Phys. Rev. D 92 no. 1, (2015) 013005, arXiv:1504.07892 [hep-ph].
- R. Longas, D. Portillo, D. Restrepo, and O. Zapata, “The Inert Zee Model,” JHEP 03 (2016) 162, arXiv:1511.01873 [hep-ph].
- S. Fraser, E. Ma, and M. Zakeri, “Verifiable Associated Processes from Radiative Lepton Masses with Dark Matter,” Phys. Rev. D 93 no. 11, (2016) 115019, arXiv:1511.07458 [hep-ph].
- S. Fraser, C. Kownacki, E. Ma, and O. Popov, “Type II Radiative Seesaw Model of Neutrino Mass with Dark Matter,” Phys. Rev. D 93 no. 1, (2016) 013021, arXiv:1511.06375 [hep-ph].
- W. Wang and Z.-L. Han, “Radiative linear seesaw model, dark matter, and U(1)B−L𝑈subscript1𝐵𝐿U(1)_{B-L}italic_U ( 1 ) start_POSTSUBSCRIPT italic_B - italic_L end_POSTSUBSCRIPT,” Phys. Rev. D 92 (2015) 095001, arXiv:1508.00706 [hep-ph].
- C. Arbeláez, A. E. Cárcamo Hernández, S. Kovalenko, and I. Schmidt, “Radiative Seesaw-type Mechanism of Fermion Masses and Non-trivial Quark Mixing,” Eur. Phys. J. C 77 no. 6, (2017) 422, arXiv:1602.03607 [hep-ph].
- F. von der Pahlen, G. Palacio, D. Restrepo, and O. Zapata, “Radiative Type III Seesaw Model and its collider phenomenology,” Phys. Rev. D 94 no. 3, (2016) 033005, arXiv:1605.01129 [hep-ph].
- T. Nomura and H. Okada, “Radiatively induced Quark and Lepton Mass Model,” Phys. Lett. B 761 (2016) 190–196, arXiv:1606.09055 [hep-ph].
- C. Kownacki and E. Ma, “Gauge U(1)𝑈1U(1)italic_U ( 1 ) dark symmetry and radiative light fermion masses,” Phys. Lett. B 760 (2016) 59–62, arXiv:1604.01148 [hep-ph].
- T. Nomura and H. Okada, “Loop induced type-II seesaw model and GeV dark matter with U(1)B−L𝑈subscript1𝐵𝐿U(1)_{B-L}italic_U ( 1 ) start_POSTSUBSCRIPT italic_B - italic_L end_POSTSUBSCRIPT gauge symmetry,” Phys. Lett. B 774 (2017) 575–581, arXiv:1704.08581 [hep-ph].
- T. Nomura and H. Okada, “Radiative neutrino mass in an alternative U(1)B−L𝑈subscript1𝐵𝐿U(1)_{B-L}italic_U ( 1 ) start_POSTSUBSCRIPT italic_B - italic_L end_POSTSUBSCRIPT gauge symmetry,” Nucl. Phys. B 941 (2019) 586–599, arXiv:1705.08309 [hep-ph].
- N. Bernal, A. E. Cárcamo Hernández, I. de Medeiros Varzielas, and S. Kovalenko, “Fermion masses and mixings and dark matter constraints in a model with radiative seesaw mechanism,” JHEP 05 (2018) 053, arXiv:1712.02792 [hep-ph].
- W. Wang, R. Wang, Z.-L. Han, and J.-Z. Han, “The B−L𝐵𝐿B-Litalic_B - italic_L Scotogenic Models for Dirac Neutrino Masses,” Eur. Phys. J. C 77 no. 12, (2017) 889, arXiv:1705.00414 [hep-ph].
- C. Bonilla, S. Centelles-Chuliá, R. Cepedello, E. Peinado, and R. Srivastava, “Dark matter stability and Dirac neutrinos using only Standard Model symmetries,” Phys. Rev. D 101 no. 3, (2020) 033011, arXiv:1812.01599 [hep-ph].
- J. Calle, D. Restrepo, C. E. Yaguna, and O. Zapata, “Minimal radiative Dirac neutrino mass models,” Phys. Rev. D 99 no. 7, (2019) 075008, arXiv:1812.05523 [hep-ph].
- I. M. Ávila, V. De Romeri, L. Duarte, and J. W. F. Valle, “Phenomenology of scotogenic scalar dark matter,” Eur. Phys. J. C 80 no. 10, (2020) 908, arXiv:1910.08422 [hep-ph].
- C. Alvarado, C. Bonilla, J. Leite, and J. W. F. Valle, “Phenomenology of fermion dark matter as neutrino mass mediator with gauged B-L,” Phys. Lett. B 817 (2021) 136292, arXiv:2102.07216 [hep-ph].
- C. Arbeláez, R. Cepedello, J. C. Helo, M. Hirsch, and S. Kovalenko, “How many 1-loop neutrino mass models are there?,” JHEP 08 (2022) 023, arXiv:2205.13063 [hep-ph].
- R. Cepedello, P. Escribano, and A. Vicente, “Neutrino masses, flavor anomalies, and muon g-2 from dark loops,” Phys. Rev. D 107 no. 3, (2023) 035034, arXiv:2209.02730 [hep-ph].
- A. E. Cárcamo Hernández, C. Espinoza, J. C. Gómez-Izquierdo, J. M. González, and M. Mondragón, “Predictive extended 3HDM with S4subscript𝑆4S_{4}italic_S start_POSTSUBSCRIPT 4 end_POSTSUBSCRIPT family symmetry,” arXiv:2212.12000 [hep-ph].
- J. Leite, S. Sadhukhan, and J. W. F. Valle, “Dynamical scoto-seesaw mechanism with gauged B-L symmetry,” Phys. Rev. D 109 no. 3, (2024) 035023, arXiv:2307.04840 [hep-ph].
- Muon g-2 Collaboration, G. W. Bennett et al., “Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL,” Phys. Rev. D73 (2006) 072003, arXiv:hep-ex/0602035 [hep-ex].
- Muon g-2 Collaboration, B. Abi et al., “Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm,” Phys. Rev. Lett. 126 no. 14, (2021) 141801, arXiv:2104.03281 [hep-ex].
- R. H. Parker, C. Yu, W. Zhong, B. Estey, and H. Müller, “Measurement of the fine-structure constant as a test of the Standard Model,” Science 360 (2018) 191, arXiv:1812.04130 [physics.atom-ph].
- P. Athron, C. Balázs, D. H. Jacob, W. Kotlarski, D. Stöckinger, and H. Stöckinger-Kim, “New physics explanations of aμsubscript𝑎𝜇a_{\mu}italic_a start_POSTSUBSCRIPT italic_μ end_POSTSUBSCRIPT in light of the FNAL muon g−2𝑔2g-2italic_g - 2 measurement,” arXiv:2104.03691 [hep-ph].
- J. A. Casas and A. Ibarra, “Oscillating neutrinos and μ→e,γ→𝜇𝑒𝛾\mu\to e,\gammaitalic_μ → italic_e , italic_γ,” Nucl. Phys. B 618 (2001) 171–204, arXiv:hep-ph/0103065.
- MEG Collaboration, A. M. Baldini et al., “Search for the lepton flavour violating decay μ+→e+γ→superscript𝜇superscripte𝛾\mu^{+}\rightarrow\mathrm{e}^{+}\gammaitalic_μ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT → roman_e start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT italic_γ with the full dataset of the MEG experiment,” Eur. Phys. J. C 76 no. 8, (2016) 434, arXiv:1605.05081 [hep-ex].
- A. M. Baldini et al., “MEG Upgrade Proposal,” arXiv:1301.7225 [physics.ins-det].
- MEG II Collaboration, M. Meucci, “MEG II experiment status and prospect,” PoS NuFact2021 (2022) 120, arXiv:2201.08200 [hep-ex].
- E. Ma and M. Raidal, “Neutrino mass, muon anomalous magnetic moment, and lepton flavor nonconservation,” Phys. Rev. Lett. 87 (2001) 011802, arXiv:hep-ph/0102255. [Erratum: Phys.Rev.Lett. 87, 159901 (2001)].
- T. Toma and A. Vicente, “Lepton Flavor Violation in the Scotogenic Model,” JHEP 01 (2014) 160, arXiv:1312.2840 [hep-ph].
- A. Vicente and C. E. Yaguna, “Probing the scotogenic model with lepton flavor violating processes,” JHEP 02 (2015) 144, arXiv:1412.2545 [hep-ph].
- M. Lindner, M. Platscher, and F. S. Queiroz, “A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation,” Phys. Rept. 731 (2018) 1–82, arXiv:1610.06587 [hep-ph].
- P. de Salas et al., “2020 global reassessment of the neutrino oscillation picture,” JHEP 02 (2021) 071, arXiv:2006.11237 [hep-ph].
- R. A. Diaz, R. Martinez, and J. A. Rodriguez, “Phenomenology of lepton flavor violation in 2HDM(3) from (g-2)(mu) and leptonic decays,” Phys. Rev. D67 (2003) 075011, arXiv:hep-ph/0208117 [hep-ph].
- F. Jegerlehner and A. Nyffeler, “The Muon g-2,” Phys. Rept. 477 (2009) 1–110, arXiv:0902.3360 [hep-ph].
- C. Kelso, H. N. Long, R. Martinez, and F. S. Queiroz, “Connection of g−2μ𝑔subscript2𝜇g-2_{\mu}italic_g - 2 start_POSTSUBSCRIPT italic_μ end_POSTSUBSCRIPT, electroweak, dark matter, and collider constraints on 331 models,” Phys. Rev. D90 no. 11, (2014) 113011, arXiv:1408.6203 [hep-ph].
- K. Kowalska and E. M. Sessolo, “Expectations for the muon g-2 in simplified models with dark matter,” JHEP 09 (2017) 112, arXiv:1707.00753 [hep-ph].
- L. Morel, Z. Yao, P. Cladé, and S. Guellati-Khélifa, “Determination of the fine-structure constant with an accuracy of 81 parts per trillion,” Nature 588 no. 7836, (2020) 61–65.
- Muon g-2 Collaboration, D. P. Aguillard et al., “Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm,” Phys. Rev. Lett. 131 no. 16, (2023) 161802, arXiv:2308.06230 [hep-ex].
- G. Altarelli and R. Barbieri, “Vacuum polarization effects of new physics on electroweak processes,” Phys. Lett. B 253 (1991) 161–167.
- M. E. Peskin and T. Takeuchi, “Estimation of oblique electroweak corrections,” Phys. Rev. D 46 (1992) 381–409.
- R. Barbieri, A. Pomarol, R. Rattazzi, and A. Strumia, “Electroweak symmetry breaking after LEP-1 and LEP-2,” Nucl. Phys. B 703 (2004) 127–146, arXiv:hep-ph/0405040.
- A. E. Cárcamo Hernández, S. Kovalenko, and I. Schmidt, “Precision measurements constraints on the number of Higgs doublets,” Phys. Rev. D 91 (2015) 095014, arXiv:1503.03026 [hep-ph].
- W. Grimus, L. Lavoura, O. M. Ogreid, and P. Osland, “A Precision constraint on multi-Higgs-doublet models,” J. Phys. G 35 (2008) 075001, arXiv:0711.4022 [hep-ph].
- W. Grimus, L. Lavoura, O. M. Ogreid, and P. Osland, “The Oblique parameters in multi-Higgs-doublet models,” Nucl. Phys. B 801 (2008) 81–96, arXiv:0802.4353 [hep-ph].
- Particle Data Group Collaboration, P. A. Zyla et al., “Review of Particle Physics,” PTEP 2020 no. 8, (2020) 083C01.
- P. Saha, “Recent measurements of higgs boson properties in the diphoton decay channel with the cms detector,” in Proceedings of the XXIV DAE-BRNS High Energy Physics Symposium, Jatni, India, B. Mohanty, S. K. Swain, R. Singh, and V. K. S. Kashyap, eds., pp. 183–186. Springer Nature Singapore, Singapore, 2022.
- ATLAS Collaboration, “Measurement of the properties of Higgs boson production at s=13𝑠13\sqrt{s}=13square-root start_ARG italic_s end_ARG = 13 TeV in the H→γγ→𝐻𝛾𝛾H\to\gamma\gammaitalic_H → italic_γ italic_γ channel using 139139139139 fb−11{}^{-1}start_FLOATSUPERSCRIPT - 1 end_FLOATSUPERSCRIPT of pp𝑝𝑝ppitalic_p italic_p collision data with the ATLAS experiment,” arXiv:2207.00348 [hep-ex].
- Particle Data Group Collaboration, R. L. Workman et al., “Review of Particle Physics,” PTEP 2022 (2022) 083C01.
- S. Davidson and A. Ibarra, “A Lower bound on the right-handed neutrino mass from leptogenesis,” Phys. Lett. B 535 (2002) 25–32, arXiv:hep-ph/0202239.
- T. Hugle, M. Platscher, and K. Schmitz, “Low-Scale Leptogenesis in the Scotogenic Neutrino Mass Model,” Phys. Rev. D 98 no. 2, (2018) 023020, arXiv:1804.09660 [hep-ph].
- W. Buchmuller, P. Di Bari, and M. Plumacher, “Leptogenesis for pedestrians,” Annals Phys. 315 (2005) 305–351, arXiv:hep-ph/0401240.
- S. Davidson, E. Nardi, and Y. Nir, “Leptogenesis,” Phys. Rept. 466 (2008) 105–177, arXiv:0802.2962 [hep-ph].
- R. Storn and K. Price, “Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces,” Journal of Global Optimization 11 (01, 1997) 341–359.
- P. Virtanen, R. Gommers, T. E. Oliphant, M. Haberland, T. Reddy, D. Cournapeau, E. Burovski, P. Peterson, W. Weckesser, J. Bright, et al., “Scipy 1.0: fundamental algorithms for scientific computing in python,” Nature methods 17 no. 3, (2020) 261–272.
- G. Bélanger, F. Boudjema, A. Goudelis, A. Pukhov, and B. Zaldívar, “micromegas5.0 : Freeze-in,” Computer Physics Communications 231 (2018) 173–186. https://www.sciencedirect.com/science/article/pii/S0010465518301437.
- A. Alloul, N. D. Christensen, C. Degrande, C. Duhr, and B. Fuks, “Feynrules 2.0 — a complete toolbox for tree-level phenomenology,” Computer Physics Communications 185 no. 8, (Aug., 2014) 2250–2300. http://dx.doi.org/10.1016/j.cpc.2014.04.012.
- XENON Collaboration, E. Aprile et al., “Dark Matter Search Results from a One Ton-Year Exposure of XENON1T,” Phys. Rev. Lett. 121 no. 11, (2018) 111302, arXiv:1805.12562 [astro-ph.CO].
- XENON Collaboration, E. Aprile et al., “First Dark Matter Search with Nuclear Recoils from the XENONnT Experiment,” Phys. Rev. Lett. 131 no. 4, (2023) 041003, arXiv:2303.14729 [hep-ex].
- LZ Collaboration, J. Aalbers et al., “First Dark Matter Search Results from the LUX-ZEPLIN (LZ) Experiment,” Phys. Rev. Lett. 131 no. 4, (2023) 041002, arXiv:2207.03764 [hep-ex].
- D. S. Akerib et al., “Snowmass2021 Cosmic Frontier Dark Matter Direct Detection to the Neutrino Fog,” in Snowmass 2021. 3, 2022. arXiv:2203.08084 [hep-ex].
- DARWIN Collaboration, J. Aalbers et al., “DARWIN: towards the ultimate dark matter detector,” JCAP 11 (2016) 017, arXiv:1606.07001 [astro-ph.IM].
- Fermi-LAT, DES Collaboration, A. Albert et al., “Searching for Dark Matter Annihilation in Recently Discovered Milky Way Satellites with Fermi-LAT,” Astrophys. J. 834 no. 2, (2017) 110, arXiv:1611.03184 [astro-ph.HE].
- J. Kopp, “Constraints on dark matter annihilation from AMS-02 results,” Phys. Rev. D 88 (2013) 076013, arXiv:1304.1184 [hep-ph].
- C. Duangchan et al., “CTA sensitivity on TeV scale dark matter models with complementary limits from direct detection,” JCAP 05 no. 05, (2022) 038, arXiv:2202.07321 [astro-ph.HE].
- B. Díaz Sáez, P. Escalona, S. Norero, and A. R. Zerwekh, “Fermion singlet dark matter in a pseudoscalar dark matter portal,” JHEP 10 (2021) 233, arXiv:2105.04255 [hep-ph].
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