2003
DOI: 10.1016/s0550-3213(03)00258-x
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Natural R-parity, μ-term, and fermion mass hierarchy from discrete gauge symmetries

Abstract: In the minimal supersymmetric Standard Model with seesaw neutrino masses we show how R-parity can emerge naturally as a discrete gauge symmetry. The same discrete symmetry explains the smallness of the µ-term (the Higgsino mass parameter) via the Giudice-Masiero mechanism. The discrete gauge anomalies are cancelled by a discrete version of the Green-Schwarz mechanism. The simplest symmetry group is found to be Z 4 with a charge assignment that is compatible with grand unification. Several other Z N gauge symme… Show more

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Cited by 79 publications
(84 citation statements)
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References 60 publications
(37 reference statements)
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“…On SM fields P 6 , as defined by the charge assignments in Table 1, acts as a Z 6 symmetry which is the product of baryon triality and matter parity. Proton hexality had been discussed before in [26][27][28][29]. It forbids all dangerous dimension four and five baryon or lepton number violating couplings while phenomenologically desirable couplings are allowed.…”
Section: Proton Hexalitymentioning
confidence: 99%
“…On SM fields P 6 , as defined by the charge assignments in Table 1, acts as a Z 6 symmetry which is the product of baryon triality and matter parity. Proton hexality had been discussed before in [26][27][28][29]. It forbids all dangerous dimension four and five baryon or lepton number violating couplings while phenomenologically desirable couplings are allowed.…”
Section: Proton Hexalitymentioning
confidence: 99%
“…Let us suppose also that the invisible axion is protected against gravitational effects by a local, in the sense of Ref. [16], Z N 's cyclic symmetries [17,18]. In general, these symmetries can be anomalous but we will not address this issue here.…”
mentioning
confidence: 99%
“…Diquark scalar can be 3 ⊗ 3 = 6 ⊕3 under SU (3) [24], the down type squarkd i can mediated u-channel dd → tt that interferes with the QCD dd → tt.…”
Section: B T-channelmentioning
confidence: 99%