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Abstract
We obtain the complete and independent bases of effective operators at mass dimension 5, 6, 7, 8, 9 in both standard model effective field theory with light sterile right-handed neutrinos (νSMEFT) and low energy effective field theory with light sterile neutrinos (νLEFT). These theories provide systematical parametrizations on all possible Lorentz-invariant physical effects involving in the Majorana/Dirac neutrinos, with/without the lepton number violations. In the νSMEFT, we find that there are 2 (18), 29 (1614), 80 (4206), 323 (20400), 1358 (243944) independent operators with sterile neutrinos included at the dimension 5, 6, 7, 8, 9 for one (three) generation of fermions, while 24, 5223, 3966, 25425, 789426 independent operators in the νLEFT for two generations of up-type quarks and three generations of all other fermions.
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Details
1 Chinese Academy of Sciences, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Beijing, P.R. China (GRID:grid.9227.e) (ISNI:0000000119573309)
2 Chinese Academy of Sciences, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Beijing, P.R. China (GRID:grid.9227.e) (ISNI:0000000119573309); University of Chinese Academy of Sciences, School of Physical Sciences, Beijing, P.R. China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419)
3 Chinese Academy of Sciences, CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Beijing, P.R. China (GRID:grid.9227.e) (ISNI:0000000119573309); University of Chinese Academy of Sciences, School of Physical Sciences, Beijing, P.R. China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419); Peking University, Center for High Energy Physics, Beijing, P.R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); UCAS, School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, Hangzhou, P.R. China (GRID:grid.410726.6) (ISNI:0000 0004 1797 8419); International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, P.R. China (GRID:grid.510974.e)