Abstract
Charged currents are probed in low-energy precision β-decay experiments and at high-energy colliders, both of which aim to measure or constrain signals of beyond-the-Standard-Model physics. In light of future β-decay and LHC measurements that will further explore these non-standard interactions, we investigate what neutrinoless double-β decay (0νββ) experiments can tell us if a nonzero signal were to be found. Using a recently developed effective-field-theory framework, we consider the effects that interactions with right-handed neutrinos have on 0νββ and discuss the range of neutrino masses that current and future 0νββ measurements can probe, assuming neutrinos are Majorana particles. For non-standard interactions at the level suggested by recently observed hints in β decays, we show that next-generation 0νββ experiments can determine the Dirac or Majorana nature of neutrinos, for sterile neutrino masses larger than \( \mathcal{O}(10) \) eV.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
T. D. Lee and C.-N. Yang, Question of Parity Conservation in Weak Interactions, Phys. Rev. 104 (1956) 254 [INSPIRE].
O. Naviliat-Cuncic and M. González-Alonso, Prospects for precision measurements in nuclear β decay at the LHC era, Annalen Phys. 525 (2013) 600 [arXiv:1304.1759] [INSPIRE].
V. Cirigliano, S. Gardner and B. Holstein, Beta Decays and Non-Standard Interactions in the LHC Era, Prog. Part. Nucl. Phys. 71 (2013) 93 [arXiv:1303.6953] [INSPIRE].
K. K. Vos, H. W. Wilschut and R. G. E. Timmermans, Symmetry violations in nuclear and neutron β decay, Rev. Mod. Phys. 87 (2015) 1483 [arXiv:1509.04007] [INSPIRE].
M. González-Alonso, O. Naviliat-Cuncic and N. Severijns, New physics searches in nuclear and neutron β decay, Prog. Part. Nucl. Phys. 104 (2019) 165 [arXiv:1803.08732] [INSPIRE].
I. Bischer and W. Rodejohann, General neutrino interactions from an effective field theory perspective, Nucl. Phys. B 947 (2019) 114746 [arXiv:1905.08699] [INSPIRE].
J. C. Hardy and I. S. Towner, Superallowed 0+ → 0+ nuclear β decays: 2020 critical survey, with implications for Vud and CKM unitarity, Phys. Rev. C 102 (2020) 045501 [INSPIRE].
A. Falkowski, M. González-Alonso and O. Naviliat-Cuncic, Comprehensive analysis of beta decays within and beyond the Standard Model, JHEP 04 (2021) 126 [arXiv:2010.13797] [INSPIRE].
M. Beck et al., Improved determination of the \( \beta \hbox{-} {\overline{v}}_e \) angular correlation coefficient a in free neutron decay with the aSP EC T spectrometer, Phys. Rev. C 101 (2020) 055506 [arXiv:1908.04785] [INSPIRE].
Y. Grossman, E. Passemar and S. Schacht, On the Statistical Treatment of the Cabibbo Angle Anomaly, JHEP 07 (2020) 068 [arXiv:1911.07821] [INSPIRE].
A. Crivellin, F. Kirk, C. A. Manzari and M. Montull, Global Electroweak Fit and Vector-Like Leptons in Light of the Cabibbo Angle Anomaly, JHEP 12 (2020) 166 [arXiv:2008.01113] [INSPIRE].
A. Crivellin and M. Hoferichter, β Decays as Sensitive Probes of Lepton Flavor Universality, Phys. Rev. Lett. 125 (2020) 111801 [arXiv:2002.07184] [INSPIRE].
A. Crivellin, M. Hoferichter and C. A. Manzari, Fermi Constant from Muon Decay Versus Electroweak Fits and Cabibbo-Kobayashi-Maskawa Unitarity, Phys. Rev. Lett. 127 (2021) 071801 [arXiv:2102.02825] [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, Left-Right Gauge Symmetry and an Isoconjugate Model of CP-violation, Phys. Rev. D 11 (1975) 566 [INSPIRE].
G. Senjanović and R. N. Mohapatra, Exact Left-Right Symmetry and Spontaneous Violation of Parity, Phys. Rev. D 12 (1975) 1502 [INSPIRE].
M. Drewes et al., A White Paper on keV Sterile Neutrino Dark Matter, JCAP 01 (2017) 025 [arXiv:1602.04816] [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].
A. Boyarsky, O. Ruchayskiy and M. Shaposhnikov, The Role of sterile neutrinos in cosmology and astrophysics, Ann. Rev. Nucl. Part. Sci. 59 (2009) 191 [arXiv:0901.0011] [INSPIRE].
O. Ruchayskiy and A. Ivashko, Restrictions on the lifetime of sterile neutrinos from primordial nucleosynthesis, JCAP 10 (2012) 014 [arXiv:1202.2841] [INSPIRE].
A. C. Vincent, E. F. Martínez, P. Hernández, M. Lattanzi and O. Mena, Revisiting cosmological bounds on sterile neutrinos, JCAP 04 (2015) 006 [arXiv:1408.1956] [INSPIRE].
M. Nemevšek, G. Senjanović and Y. Zhang, Warm Dark Matter in Low Scale Left-Right Theory, JCAP 07 (2012) 006 [arXiv:1205.0844] [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].
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. E. Shrock, New Tests For, and Bounds On, Neutrino Masses and Lepton Mixing, Phys. Lett. B 96 (1980) 159 [INSPIRE].
D. A. Bryman and R. Shrock, Constraints on Sterile Neutrinos in the MeV to GeV Mass Range, Phys. Rev. D 100 (2019) 073011 [arXiv:1909.11198] [INSPIRE].
M. Ademollo and R. Gatto, Nonrenormalization Theorem for the Strangeness Violating Vector Currents, Phys. Rev. Lett. 13 (1964) 264 [INSPIRE].
Flavour Lattice Averaging Group collaboration, FLAG Review 2019: Flavour Lattice Averaging Group (FLAG), Eur. Phys. J. C 80 (2020) 113 [arXiv:1902.08191] [INSPIRE].
C. C. Chang et al., A per-cent-level determination of the nucleon axial coupling from quantum chromodynamics, Nature 558 (2018) 91 [arXiv:1805.12130] [INSPIRE].
R. Gupta, Y.-C. Jang, B. Yoon, H.-W. Lin, V. Cirigliano and T. Bhattacharya, Isovector Charges of the Nucleon from 2+1+1-flavor Lattice QCD, Phys. Rev. D 98 (2018) 034503 [arXiv:1806.09006] [INSPIRE].
M. González-Alonso and J. Martin Camalich, Isospin breaking in the nucleon mass and the sensitivity of β decays to new physics, Phys. Rev. Lett. 112 (2014) 042501 [arXiv:1309.4434] [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].
A. Czarnecki, W. J. Marciano and A. Sirlin, Radiative Corrections to Neutron and Nuclear Beta Decays Revisited, Phys. Rev. D 100 (2019) 073008 [arXiv:1907.06737] [INSPIRE].
C.-Y. Seng, X. Feng, M. Gorchtein and L.-C. Jin, Joint lattice QCD-dispersion theory analysis confirms the quark-mixing top-row unitarity deficit, Phys. Rev. D 101 (2020) 111301 [arXiv:2003.11264] [INSPIRE].
L. Hayen, Standard model \( \mathcal{O}\left(\alpha \right) \) renormalization of gA and its impact on new physics searches, Phys. Rev. D 103 (2021) 113001 [arXiv:2010.07262] [INSPIRE].
J. D. Jackson, S. B. Treiman and H. W. Wyld, Possible tests of time reversal invariance in Beta decay, Phys. Rev. 106 (1957) 517 [INSPIRE].
M. Ebel and G. Feldman, Further remarks on Coulomb corrections in al lowed beta transitions, Nucl. Phys. 4 (1957) 213.
B. R. Holstein, Recoil Effects in Allowed beta Decay: The Elementary Particle Approach, Rev. Mod. Phys. 46 (1974) 789 [Erratum ibid. 48 (1976) 673] [INSPIRE].
L. Hayen, N. Severijns, K. Bodek, D. Rozpedzik and X. Mougeot, High precision analytical description of the allowed β spectrum shape, Rev. Mod. Phys. 90 (2018) 015008 [arXiv:1709.07530] [INSPIRE].
L. Hayen and A. R. Young, Consistent description of angular correlations in β decay for Beyond Standard Model physics searches, arXiv:2009.11364 [INSPIRE].
E. Holzschuh, L. Palermo, H. Stussi and P. Wenk, The beta-spectrum of S-35 and search for the admixture of heavy neutrinos, Phys. Lett. B 482 (2000) 1 [INSPIRE].
A. S. Riis and S. Hannestad, Detecting sterile neutrinos with KATRIN like experiments, JCAP 02 (2011) 011 [arXiv:1008.1495] [INSPIRE].
C. Giunti, Y. F. Li and Y. Y. Zhang, KATRIN bound on 3+1 active-sterile neutrino mixing and the reactor antineutrino anomaly, JHEP 05 (2020) 061 [arXiv:1912.12956] [INSPIRE].
KATRIN collaboration, Bound on 3+1 Active-Sterile Neutrino Mixing from the First Four-Week Science Run of KATRIN, Phys. Rev. Lett. 126 (2021) 091803 [arXiv:2011.05087] [INSPIRE].
J. Kotila and F. Iachello, Phase space factors for double-β decay, Phys. Rev. C 85 (2012) 034316 [arXiv:1209.5722] [INSPIRE].
D. Štefánik, R. Dvornický, F. Šimkovic 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].
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].
A. Nicholson et al., Heavy physics contributions to neutrinoless double beta decay from QCD, Phys. Rev. Lett. 121 (2018) 172501 [arXiv:1805.02634] [INSPIRE].
J. Engel and J. Menéndez, Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review, Rept. Prog. Phys. 80 (2017) 046301 [arXiv:1610.06548] [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. Hyvärinen and J. Suhonen, Nuclear matrix elements for 0νββ decays with light or heavy Majorana-neutrino exchange, Phys. Rev. C 91 (2015) 024613 [INSPIRE].
EXO-200 collaboration, Search for Neutrinoless Double-β Decay with the Complete EXO-200 Dataset, Phys. Rev. Lett. 123 (2019) 161802 [arXiv:1906.02723] [INSPIRE].
P. D. Bolton, F. F. Deppisch, L. Gráf and F. Šimkovic, Two-Neutrino Double Beta Decay with Sterile Neutrinos, Phys. Rev. D 103 (2021) 055019 [arXiv:2011.13387] [INSPIRE].
M. Agostini, E. Bossio, A. Ibarra and X. Marcano, Search for Light Exotic Fermions in Double-Beta Decays, Phys. Lett. B 815 (2021) 136127 [arXiv:2012.09281] [INSPIRE].
NEMO-3 collaboration, Detailed studies of 100 Mo two-neutrino double beta decay in NEMO-3, Eur. Phys. J. C 79 (2019) 440 [arXiv:1903.08084] [INSPIRE].
J. Kopp, P. A. N. Machado, M. Maltoni and T. Schwetz, Sterile Neutrino Oscillations: The Global Picture, JHEP 05 (2013) 050 [arXiv:1303.3011] [INSPIRE].
A. Falkowski, M. González-Alonso and Z. Tabrizi, Reactor neutrino oscillations as constraints on Effective Field Theory, JHEP 05 (2019) 173 [arXiv:1901.04553] [INSPIRE].
I. Doršner, S. Fajfer, A. Greljo, J. F. Kamenik and N. Košnik, Physics of leptoquarks in precision experiments and at particle colliders, Phys. Rept. 641 (2016) 1 [arXiv:1603.04993] [INSPIRE].
CMS collaboration, Search for pair production of first-generation scalar leptoquarks at \( \sqrt{s} \) = 13 TeV, Phys. Rev. D 99 (2019) 052002 [arXiv:1811.01197] [INSPIRE].
ATLAS collaboration, Search for pairs of scalar leptoquarks decaying into quarks and electrons or muons in \( \sqrt{s} \) = 13 TeV pp collisions with the ATLAS detector, JHEP 10 (2020) 112 [arXiv:2006.05872] [INSPIRE].
P. O. Ludl and W. Rodejohann, Direct Neutrino Mass Experiments and Exotic Charged Current Interactions, JHEP 06 (2016) 040 [arXiv:1603.08690] [INSPIRE].
B. Grzadkowski, M. Iskrzyński, M. Misiak and J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884] [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].
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].
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].
J. Barea, private communication.
F. F. Deppisch, L. Gráf, F. Iachello and J. Kotila, Analysis of light neutrino exchange and short-range mechanisms in 0νββ decay, Phys. Rev. D 102 (2020) 095016 [arXiv:2009.10119] [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].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2104.00140
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Dekens, W., de Vries, J. & Tong, T. Sterile neutrinos with non-standard interactions in β- and 0νββ-decay experiments. J. High Energ. Phys. 2021, 128 (2021). https://doi.org/10.1007/JHEP08(2021)128
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2021)128