Abstract
We investigate neutrinoless double beta (0νββ) decay rates in minimal left-right symmetric models in presence of relatively light right-handed neutrinos. By use of an effective field theory approach, we systematically include all contributions in the model as well as the dependence of the decay amplitude on the masses of right-handed neutrinos. In type-I and type-II seesaw scenarios, we analyze the impact of right-handed neutrinos heavier than about 10 MeV, showing that this effect can lead to a detection of 0νββ decay in the next-generation experiments even for the normal hierarchy and a relatively large right-handed scale set by the mass of hypothetical right-handed gauge bosons. Finally, we comment on a possible connection between light right-handed neutrinos and the strong CP problem.
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References
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [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. Senjanović, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
M. Drewes, The Phenomenology of Right Handed Neutrinos, Int. J. Mod. Phys. E 22 (2013) 1330019 [arXiv:1303.6912] [INSPIRE].
B. Dasgupta and J. Kopp, Sterile Neutrinos, Phys. Rept. 928 (2021) 1 [arXiv:2106.05913] [INSPIRE].
A.M. Abdullahi et al., The Present and Future Status of Heavy Neutral Leptons, in 2022 Snowmass Summer Study, (2022) [arXiv:2203.08039] [INSPIRE].
A. Boyarsky, M. Drewes, T. Lasserre, S. Mertens and O. Ruchayskiy, Sterile neutrino Dark Matter, Prog. Part. Nucl. Phys. 104 (2019) 1 [arXiv:1807.07938] [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].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. 11 (1975) 703] [INSPIRE].
R.N. Mohapatra and J.C. Pati, A Natural Left-Right Symmetry, Phys. Rev. D 11 (1975) 2558 [INSPIRE].
G. Senjanović and R.N. Mohapatra, Exact Left-Right Symmetry and Spontaneous Violation of Parity, Phys. Rev. D 12 (1975) 1502 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Masses and Mixings in Gauge Models with Spontaneous Parity Violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].
ATLAS collaboration, Search for heavy Majorana or Dirac neutrinos and right-handed W gauge bosons in final states with two charged leptons and two jets at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 01 (2019) 016 [arXiv:1809.11105] [INSPIRE].
ATLAS collaboration, Search for a right-handed gauge boson decaying into a high-momentum heavy neutrino and a charged lepton in pp collisions with the ATLAS detector at \( \sqrt{s} \) = 13 TeV, Phys. Lett. B 798 (2019) 134942 [arXiv:1904.12679] [INSPIRE].
CMS collaboration, Search for a heavy right-handed W boson and a heavy neutrino in events with two same-flavor leptons and two jets at \( \sqrt{s} \) = 13 TeV, JHEP 05 (2018) 148 [arXiv:1803.11116] [INSPIRE].
T. Li, X.-D. Ma and M.A. Schmidt, Constraints on the charged currents in general neutrino interactions with sterile neutrinos, JHEP 10 (2020) 115 [arXiv:2007.15408] [INSPIRE].
P. Bamert, C.P. Burgess and R.N. Mohapatra, Heavy sterile neutrinos and neutrinoless double beta decay, Nucl. Phys. B 438 (1995) 3 [hep-ph/9408367] [INSPIRE].
M. Blennow, E. Fernandez-Martinez, J. Lopez-Pavon and J. Menendez, Neutrinoless double beta decay in seesaw models, JHEP 07 (2010) 096 [arXiv:1005.3240] [INSPIRE].
M. Mitra, G. Senjanović and F. Vissani, Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos, Nucl. Phys. B 856 (2012) 26 [arXiv:1108.0004] [INSPIRE].
A. de Gouvêa and W.-C. Huang, Constraining the (Low-Energy) Type-I Seesaw, Phys. Rev. D 85 (2012) 053006 [arXiv:1110.6122] [INSPIRE].
J. Barry, W. Rodejohann and H. Zhang, Light Sterile Neutrinos: Models and Phenomenology, JHEP 07 (2011) 091 [arXiv:1105.3911] [INSPIRE].
Y.F. Li and S.-s. Liu, Vanishing effective mass of the neutrinoless double beta decay including light sterile neutrinos, Phys. Lett. B 706 (2012) 406 [arXiv:1110.5795] [INSPIRE].
M. Ghosh, S. Goswami, S. Gupta and C.S. Kim, Implication of a vanishing element in the 3+1 scenario, Phys. Rev. D 88 (2013) 033009 [arXiv:1305.0180] [INSPIRE].
I. Girardi, A. Meroni and S.T. Petcov, Neutrinoless Double Beta Decay in the Presence of Light Sterile Neutrinos, JHEP 11 (2013) 146 [arXiv:1308.5802] [INSPIRE].
J. Barea, J. Kotila and F. Iachello, Limits on sterile neutrino contributions to neutrinoless double beta decay, Phys. Rev. D 92 (2015) 093001 [arXiv:1509.01925] [INSPIRE].
P.D. Bolton, F.F. Deppisch and P.S. Bhupal Dev, Neutrinoless double beta decay versus other probes of heavy sterile neutrinos, JHEP 03 (2020) 170 [arXiv:1912.03058] [INSPIRE].
T. Jha, S. Khan, M. Mitra and A. Patra, Zooming in on eV-MeV scale sterile neutrinos in light of neutrinoless double beta decay, Phys. Rev. D 105 (2022) 035001 [arXiv:2107.03807] [INSPIRE].
T. Asaka, H. Ishida and K. Tanaka, Hiding neutrinoless double beta decay in the minimal seesaw mechanism, Phys. Rev. D 103 (2021) 015014 [arXiv:2012.12564] [INSPIRE].
W. Dekens, J. de Vries, K. Fuyuto, E. Mereghetti and G. Zhou, Sterile neutrinos and neutrinoless double beta decay in effective field theory, JHEP 06 (2020) 097 [arXiv:2002.07182] [INSPIRE].
G. Prezeau, M. Ramsey-Musolf and P. Vogel, Neutrinoless double beta decay and effective field theory, Phys. Rev. D 68 (2003) 034016 [hep-ph/0303205] [INSPIRE].
G. Li, M. Ramsey-Musolf and J.C. Vasquez, Left-Right Symmetry and Leading Contributions to Neutrinoless Double Beta Decay, Phys. Rev. Lett. 126 (2021) 151801 [arXiv:2009.01257] [INSPIRE].
V. Cirigliano, W. Dekens, J. de Vries, M.L. Graesser and E. Mereghetti, A neutrinoless double beta decay master formula from effective field theory, JHEP 12 (2018) 097 [arXiv:1806.02780] [INSPIRE].
V. Cirigliano, W. Dekens, J. de Vries, M.L. Graesser and E. Mereghetti, Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven, JHEP 12 (2017) 082 [arXiv:1708.09390] [INSPIRE].
R. Kuchimanchi, Leptonic CP problem in left-right symmetric model, Phys. Rev. D 91 (2015) 071901 [arXiv:1408.6382] [INSPIRE].
G. Senjanović and V. Tello, Strong CP-violation: problem or blessing?, arXiv:2004.04036 [INSPIRE].
G. Senjanović, Spontaneous Breakdown of Parity in a Class of Gauge Theories, Nucl. Phys. B 153 (1979) 334 [INSPIRE].
A. Maiezza, M. Nemevšek, F. Nesti and G. Senjanović, Left-Right Symmetry at LHC, Phys. Rev. D 82 (2010) 055022 [arXiv:1005.5160] [INSPIRE].
A. Maiezza and M. Nemevšek, Strong P invariance, neutron electric dipole moment, and minimal left-right parity at LHC, Phys. Rev. D 90 (2014) 095002 [arXiv:1407.3678] [INSPIRE].
M.J. Ramsey-Musolf and J.C. Vasquez, Left-right symmetry and electric dipole moments. A global analysis, Phys. Lett. B 815 (2021) 136136 [arXiv:2012.02799] [INSPIRE].
N.G. Deshpande, J.F. Gunion, B. Kayser and F.I. Olness, Left-right symmetric electroweak models with triplet Higgs, Phys. Rev. D 44 (1991) 837 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Decay and Spontaneous Violation of Lepton Number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
Z.-z. Xing and S. Zhou, Neutrinos in particle physics, astronomy and cosmology, Springer (2011) [DOI].
J. Barry and W. Rodejohann, Lepton number and flavour violation in TeV-scale left-right symmetric theories with large left-right mixing, JHEP 09 (2013) 153 [arXiv:1303.6324] [INSPIRE].
G. Senjanović, Neutrino mass: From LHC to grand unification, Riv. Nuovo Cim. 34 (2011) 1 [INSPIRE].
M. Nemevšek, G. Senjanović and V. Tello, Connecting Dirac and Majorana Neutrino Mass Matrices in the Minimal Left-Right Symmetric Model, Phys. Rev. Lett. 110 (2013) 151802 [arXiv:1211.2837] [INSPIRE].
G. Senjanović and V. Tello, Probing Seesaw with Parity Restoration, Phys. Rev. Lett. 119 (2017) 201803 [arXiv:1612.05503] [INSPIRE].
J.G. Korner, A. Pilaftsis and K. Schilcher, Leptonic CP asymmetries in flavor changing H0 decays, Phys. Rev. D 47 (1993) 1080 [hep-ph/9301289] [INSPIRE].
W. Grimus and L. Lavoura, The Seesaw mechanism at arbitrary order: Disentangling the small scale from the large scale, JHEP 11 (2000) 042 [hep-ph/0008179] [INSPIRE].
H. Hettmansperger, M. Lindner and W. Rodejohann, Phenomenological Consequences of sub-leading Terms in See-Saw Formulas, JHEP 04 (2011) 123 [arXiv:1102.3432] [INSPIRE].
E. Fernandez-Martinez, J. Hernandez-Garcia and J. Lopez-Pavon, Global constraints on heavy neutrino mixing, JHEP 08 (2016) 033 [arXiv:1605.08774] [INSPIRE].
L. Lehman, Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators, Phys. Rev. D 90 (2014) 125023 [arXiv:1410.4193] [INSPIRE].
Y. Liao and X.-D. Ma, Operators up to Dimension Seven in Standard Model Effective Field Theory Extended with Sterile Neutrinos, Phys. Rev. D 96 (2017) 015012 [arXiv:1612.04527] [INSPIRE].
G. Beall, M. Bander and A. Soni, Constraint on the Mass Scale of a Left-Right Symmetric Electroweak Theory from the KL − KS Mass Difference, Phys. Rev. Lett. 48 (1982) 848 [INSPIRE].
S. Bertolini, A. Maiezza and F. Nesti, Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry, Phys. Rev. D 89 (2014) 095028 [arXiv:1403.7112] [INSPIRE].
W. Dekens, L. Andreoli, J. de Vries, E. Mereghetti and F. Oosterhof, A low-energy perspective on the minimal left-right symmetric model, JHEP 11 (2021) 127 [arXiv:2107.10852] [INSPIRE].
G. Senjanović and V. Tello, Right Handed Quark Mixing in Left-Right Symmetric Theory, Phys. Rev. Lett. 114 (2015) 071801 [arXiv:1408.3835] [INSPIRE].
G. Senjanović and V. Tello, Restoration of Parity and the Right-Handed Analog of the CKM Matrix, Phys. Rev. D 94 (2016) 095023 [arXiv:1502.05704] [INSPIRE].
M. Horoi and A. Neacsu, Towards an effective field theory approach to the neutrinoless double-beta decay, arXiv:1706.05391 [INSPIRE].
S. Stoica and M. Mirea, New calculations for phase space factors involved in double-β decay, Phys. Rev. C 88 (2013) 037303 [arXiv:1307.0290] [INSPIRE].
V. Cirigliano et al., New Leading Contribution to Neutrinoless Double-β Decay, Phys. Rev. Lett. 120 (2018) 202001 [arXiv:1802.10097] [INSPIRE].
J. Hyvärinen and J. Suhonen, Nuclear matrix elements for 0νββ decays with light or heavy Majorana-neutrino exchange, Phys. Rev. C 91 (2015) 024613 [INSPIRE].
J. Menéndez, Neutrinoless ββ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations, J. Phys. G 45 (2018) 014003 [arXiv:1804.02105] [INSPIRE].
J. Barea, J. Kotila and F. Iachello, 0νββ and 2νββ nuclear matrix elements in the interacting boson model with isospin restoration, Phys. Rev. C 91 (2015) 034304 [arXiv:1506.08530] [INSPIRE].
V. Cirigliano et al., Renormalized approach to neutrinoless double-β decay, Phys. Rev. C 100 (2019) 055504 [arXiv:1907.11254] [INSPIRE].
T.R. Richardson, M.R. Schindler, S. Pastore and R.P. Springer, Large-Nc analysis of two-nucleon neutrinoless double-β decay and charge-independence-breaking contact terms, Phys. Rev. C 103 (2021) 055501 [arXiv:2102.02184] [INSPIRE].
V. Cirigliano, W. Dekens, J. de Vries, M. Hoferichter and E. Mereghetti, Toward Complete Leading-Order Predictions for Neutrinoless Double β Decay, Phys. Rev. Lett. 126 (2021) 172002 [arXiv:2012.11602] [INSPIRE].
V. Cirigliano, W. Dekens, J. de Vries, M. Hoferichter and E. Mereghetti, Determining the leading-order contact term in neutrinoless double β decay, JHEP 05 (2021) 289 [arXiv:2102.03371] [INSPIRE].
R. Wirth, J.M. Yao and H. Hergert, Ab Initio Calculation of the Contact Operator Contribution in the Standard Mechanism for Neutrinoless Double Beta Decay, Phys. Rev. Lett. 127 (2021) 242502 [arXiv:2105.05415] [INSPIRE].
L. Jokiniemi, P. Soriano and J. Menéndez, Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei, Phys. Lett. B 823 (2021) 136720 [arXiv:2107.13354] [INSPIRE].
A. Nicholson et al., Heavy physics contributions to neutrinoless double beta decay from QCD, Phys. Rev. Lett. 121 (2018) 172501 [arXiv:1805.02634] [INSPIRE].
X.-Y. Tuo, X. Feng and L.-C. Jin, Lattice QCD calculation of the light sterile neutrino contribution in 0ν2β decay, Phys. Rev. D 106 (2022) 074510 [arXiv:2206.00879] [INSPIRE].
L. Gráf, M. Lindner and O. Scholer, Unraveling the 0νββ decay mechanisms, Phys. Rev. D 106 (2022) 035022 [arXiv:2204.10845] [INSPIRE].
S. Bertolini, A. Maiezza and F. Nesti, Kaon CP-violation and neutron EDM in the minimal left-right symmetric model, Phys. Rev. D 101 (2020) 035036 [arXiv:1911.09472] [INSPIRE].
M. Nemevšek, F. Nesti and G. Popara, Keung-Senjanović process at the LHC: From lepton number violation to displaced vertices to invisible decays, Phys. Rev. D 97 (2018) 115018 [arXiv:1801.05813] [INSPIRE].
ATLAS collaboration, Search for a new heavy gauge boson resonance decaying into a lepton and missing transverse momentum in 36 fb−1 of pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS experiment, Eur. Phys. J. C 78 (2018) 401 [arXiv:1706.04786] [INSPIRE].
CMS collaboration, Search for new physics in the lepton plus missing transverse momentum final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 07 (2022) 067 [arXiv:2202.06075] [INSPIRE].
C.-Y. Seng, M. Gorchtein, H.H. Patel and M.J. Ramsey-Musolf, Reduced Hadronic Uncertainty in the Determination of Vud, Phys. Rev. Lett. 121 (2018) 241804 [arXiv:1807.10197] [INSPIRE].
G. Li, M.J. Ramsey-Musolf and J.C. Vasquez, Unraveling the left-right mixing using 0νββ decay and collider probes, Phys. Rev. D 105 (2022) 115021 [arXiv:2202.01789] [INSPIRE].
M. Czakon, J. Gluza and M. Zralek, Low-energy physics and left-right symmetry: Bounds on the model parameters, Phys. Lett. B 458 (1999) 355 [hep-ph/9904216] [INSPIRE].
M. Nemevšek, F. Nesti, G. Senjanović and V. Tello, Neutrinoless Double Beta Decay: Low Left-Right Symmetry Scale?, arXiv:1112.3061 [INSPIRE].
N. Sabti, A. Magalich and A. Filimonova, An Extended Analysis of Heavy Neutral Leptons during Big Bang Nucleosynthesis, JCAP 11 (2020) 056 [arXiv:2006.07387] [INSPIRE].
A. Boyarsky, M. Ovchynnikov, O. Ruchayskiy and V. Syvolap, Improved big bang nucleosynthesis constraints on heavy neutral leptons, Phys. Rev. D 104 (2021) 023517 [arXiv:2008.00749] [INSPIRE].
M. Carpentier and S. Davidson, Constraints on two-lepton, two quark operators, Eur. Phys. J. C 70 (2010) 1071 [arXiv:1008.0280] [INSPIRE].
R. Barbieri and R.N. Mohapatra, Limits on Right-handed Interactions From SN1987A Observations, Phys. Rev. D 39 (1989) 1229 [INSPIRE].
CMS collaboration, Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 120 (2018) 081801 [arXiv:1709.05822] [INSPIRE].
ATLAS collaboration, Search for doubly charged Higgs boson production in multi-lepton final states with the ATLAS detector using proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 78 (2018) 199 [arXiv:1710.09748] [INSPIRE].
ATLAS collaboration, Search for doubly and singly charged Higgs bosons decaying into vector bosons in multi-lepton final states with the ATLAS detector using proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 06 (2021) 146 [arXiv:2101.11961] [INSPIRE].
P.S.B. Dev, M.J. Ramsey-Musolf and Y. Zhang, Doubly-Charged Scalars in the Type-II Seesaw Mechanism: Fundamental Symmetry Tests and High-Energy Searches, Phys. Rev. D 98 (2018) 055013 [arXiv:1806.08499] [INSPIRE].
A. Maiezza, G. Senjanović and J.C. Vasquez, Higgs sector of the minimal left-right symmetric theory, Phys. Rev. D 95 (2017) 095004 [arXiv:1612.09146] [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, M. Maltoni, T. Schwetz and A. Zhou, The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
A.S. Joshipura, E.A. Paschos and W. Rodejohann, A Simple connection between neutrino oscillation and leptogenesis, JHEP 08 (2001) 029 [hep-ph/0105175] [INSPIRE].
A. Halprin, S.T. Petcov and S.P. Rosen, Effects of Light and Heavy Majorana Neutrinos in Neutrinoless Double Beta Decay, Phys. Lett. B 125 (1983) 335 [INSPIRE].
C.N. Leung and S.T. Petcov, On the Possibility of Destructive Interference Between Light and Heavy Majorana Neutrinos in Neutrinoless Double beta Decay, Phys. Lett. B 145 (1984) 416 [INSPIRE].
Z.-z. Xing, Low-energy limits on heavy Majorana neutrino masses from the neutrinoless double-beta decay and non-unitary neutrino mixing, Phys. Lett. B 679 (2009) 255 [arXiv:0907.3014] [INSPIRE].
M. Doi, T. Kotani, H. Nishiura and E. Takasugi, Double beta decay, Prog. Theor. Phys. 69 (1983) 602 [INSPIRE].
J.D. Vergados, The Neutrino Mass and Family, Lepton and Baryon Nonconservation in Gauge Theories, Phys. Rept. 133 (1986) 1 [INSPIRE].
G. Pantis, F. Simkovic, J.D. Vergados and A. Faessler, Neutrinoless double beta decay within QRPA with proton-neutron pairing, Phys. Rev. C 53 (1996) 695 [nucl-th/9612036] [INSPIRE].
J. Suhonen and O. Civitarese, Weak-interaction and nuclear-structure aspects of nuclear double beta decay, Phys. Rept. 300 (1998) 123 [INSPIRE].
M. Hirsch, H.V. Klapdor-Kleingrothaus and O. Panella, Double beta decay in left-right symmetric models, Phys. Lett. B 374 (1996) 7 [hep-ph/9602306] [INSPIRE].
J. Chakrabortty, H.Z. Devi, S. Goswami and S. Patra, Neutrinoless double-β decay in TeV scale Left-Right symmetric models, JHEP 08 (2012) 008 [arXiv:1204.2527] [INSPIRE].
P.S. Bhupal Dev, S. Goswami and M. Mitra, TeV Scale Left-Right Symmetry and Large Mixing Effects in Neutrinoless Double Beta Decay, Phys. Rev. D 91 (2015) 113004 [arXiv:1405.1399] [INSPIRE].
D. Stefanik, R. Dvornicky, F. Simkovic and P. Vogel, Reexamining the light neutrino exchange mechanism of the 0νββ decay with left- and right-handed leptonic and hadronic currents, Phys. Rev. C 92 (2015) 055502 [arXiv:1506.07145] [INSPIRE].
J.L. Yang, C.-H. Chang and T.-F. Feng, Nuclear 0ν2β decays in B-L symmetric SUSY model and in TeV scale left-right symmetric model, Commun. Theor. Phys. 74 (2022) 085202 [arXiv:2107.01367] [INSPIRE].
G.F.S. Alves, C.S. Fong, L.P.S. Leal and R.Z. Funchal, Exploring the Neutrino Sector of the Minimal Left-Right Symmetric Model, arXiv:2208.07378 [INSPIRE].
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de Vries, J., Li, G., Ramsey-Musolf, M.J. et al. Light sterile neutrinos, left-right symmetry, and 0νββ decay. J. High Energ. Phys. 2022, 56 (2022). https://doi.org/10.1007/JHEP11(2022)056
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DOI: https://doi.org/10.1007/JHEP11(2022)056