Liao, Y
; Ma, XD (reprint author), Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China.
; Liao, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.
; Liao, Y (reprint author), Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China.
; Liao, Y (reprint author), Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China.
文章类型:
Article
英文摘要:
We revisit the effective field theory of the standard model that is extended with sterile neutrinos, N. We examine the basis of complete and independent effective operators involving N up to mass dimension seven (dim-7). By employing equations of motion, integration by parts, and Fierz and group identities, we construct relations among operators that were considered independent in the previous literature, and we find 7 redundant operators at dim-6, as well as 16 redundant operators and two new operators at dim-7. The correct numbers of operators involving N are, without counting Hermitian conjugates, 16(L boolean AND B) + 1(L boolean AND B) + 2(L boolean AND B) at dim-6 and 47(L boolean AND B) + 5(L boolean AND B) at dim-7. Here L/B(L/B) stands for lepton/baryon number conservation (violation). We verify our counting by the Hilbert series approach for nf generations of the standard model fermions and sterile neutrinos. When operators involving different flavors of fermions are counted separately and their Hermitian conjugates are included, we find there are 29 (1614) and 80 (4206) operators involving sterile neutrinos at dim-6 and dim-7, respectively, for n(f) = 1 (3).
Liao, Y,Ma, XD. Operators up to dimension seven in standard model effective field theory extended with sterile neutrinos[J]. PHYSICAL REVIEW D,2017,96(1):15012.
