Mass of the t-quark in SU(2) × U(1)

Pakvasa, Sandip; Sugawara, Hirotaka

doi:10.1016/0370-2693(79)90436-2

Cited by 136 publications

(59 citation statements)

References 5 publications

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“…A lot of effort has been put in reproducing the TB pattern by the use of non-Abelian discrete symmetries: the best known groups implemented in the construction of flavour models are A 4 , S 4 [81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97], T ′ [98][99][100][101][102][103][104][105][106][107] and ∆ (27) [108][109][110]. A common feature among many of these realizations is to get a spontaneous breaking scheme responsible for the TB mixing by the use of a convenient assignment of the quantum numbers to the SM particles and the introduction of a suitable set of scalar fields, the "flavons", which, getting non-zero vacuum expectation values (VEVs), are responsible for the symmetry breaking of G f .…”

Section: Jhep08(2010)001mentioning

confidence: 99%

The interplay between GUT and flavour symmetries in a Pati-Salam × S4 model

Toorop

Bazzocchi

Merlo

2010

J. High Energ. Phys.

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Both Grand Unified symmetries and discrete flavour symmetries are appealing ways to describe apparent structures in the gauge and flavour sectors of the Standard Model. Both symmetries put constraints on the high energy behaviour of the theory. This can give rise to unexpected interplay when building models that possess both symmetries. We investigate on the possibility to combine a Pati-Salam model with the discrete flavour symmetry S 4 that gives rise to quark-lepton complementarity. Under appropriate assumptions at the GUT scale, the model reproduces fermion masses and mixings both in the quark and in the lepton sectors. We show that in particular the Higgs sector and the running Yukawa couplings are strongly affected by the combined constraints of the Grand Unified and family symmetries. This in turn reduces the phenomenologically viable parameter space, with high energy mass scales confined to a small region and some parameters in the neutrino sector slightly unnatural. In the allowed regions, we can reproduce the quark masses and the CKM matrix. In the lepton sector, we reproduce the charged lepton masses, including bottom-tau unification and the Georgi-Jarlskog relation as well as the two known angles of the PMNS matrix. The neutrino mass spectrum can present a normal or an inverse hierarchy, and only allowing the neutrino parameters to spread into a range of values between λ −2 and λ 2 , with λ ≃ 0.2. Finally, our model suggests that the reactor mixing angle is close to its current experimental bound.

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Section: Jhep08(2010)001mentioning

confidence: 99%

The interplay between GUT and flavour symmetries in a Pati-Salam × S4 model

Toorop

Bazzocchi

Merlo

2010

J. High Energ. Phys.

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“…Two discrete groups T ′ [19][20][21][22][23][24][25][26] and S 4 [27][28][29][30][31][32] are found to be promising, both groups have two dimensional irreducible representation, which is very useful to describing the quark sector. The S 4 symmetry is particularly interesting, S 4 as a horizontal symmetry group has been proposed long ago [33], and some models with different purposes have been built [34]. Recently it was claimed to be minimal flavor group capable of yielding the TB mixing without fine tuning [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Fermion masses and flavor mixings in a model with flavor symmetry

Ding

2010

Nuclear Physics B

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We present a supersymmetric model of quark and lepton based on S 4 × Z 3 × Z 4 flavor symmetry. The S 4 symmetry is broken down to Klein four and Z 3 subgroups in the neutrino and the charged lepton sectors respectively. Tri-Bimaximal mixing and the charged lepton mass hierarchies are reproduced simultaneously at leading order. Moreover, a realistic pattern of quark masses and mixing angles is generated with the exception of the mixing angle between the first two generations, which requires a small accidental enhancement. It is remarkable that the mass hierarchies are controlled by the spontaneous breaking of flavor symmetry in our model. The next to leading order contributions are studied, all the fermion masses and mixing angles receive corrections of relative order λ 2 c with respect to the leading order results. The phenomenological consequences of the model are analyzed, the neutrino mass spectrum can be normal hierarchy or inverted hierarchy, and the combined measurement of the 0ν2β decay effective mass m ββ and the lightest neutrino mass can distinguish the normal hierarchy from the inverted hierarchy.

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“…[1][2][3]. There are plenty of horizontal groups that have been explored in the literature, among them finite groups such as O h [33], Z m [34,35], Z m × Z n [36], D n [37][38][39], S 4 [40][41][42][43], A 4 [44][45][46][47], ∆ (27) [48,49] and infinite groups such as SO(3) and SU(3) [50][51][52] have drawn much attention. A linear transformation of the neutrino fields ν Lα → G αβ ν Lβ leads to an invariance of an effective neutrino Majorana mass term…”

Section: Jhep12(2017)030mentioning

confidence: 99%

Generalized ℤ2 × ℤ2 in scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis

Sinha

Samanta

Ghosal

2017

J. High Energ. Phys.

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Abstract:We investigate the consequences of a generalized Z 2 ×Z 2 symmetry on a scaling neutrino Majorana mass matrix. It enables us to determine definite analytical relations between the mixing angles θ 12 and θ 13 , maximal CP violation for the Dirac type and vanishing for the Majorana type. Beside the other testable predictions on the low energy neutrino parameters such as ββ 0ν decay matrix element |M ee | and the light neutrino masses m 1,2,3 , the model also has intriguing consequences from the perspective of leptogenesis. With the assumption that the required CP violation for leptogenesis is created by the decay of lightest (N 1 ) of the heavy Majorana neutrinos, only τ -flavored leptogenesis scenario is found to be allowed in this model. For a normal (inverted) ordering of light neutrino masses, θ 23 is found be less (greater) than its maximal value, for the final baryon asymmetry Y B to be in the observed range. Besides, an upper and a lower bound on the mass of N 1 have also been estimated. Effect of the heavier neutrinos N 2,3 on final Y B has been worked out subsequently. The predictions of this model will be tested in the experiments such as nEXO, LEGEND, GERDA-II, T2K, NOνA, DUNE etc.

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Mass of the t-quark in SU(2) × U(1)

Cited by 136 publications

References 5 publications

The interplay between GUT and flavour symmetries in a Pati-Salam × S4 model

The interplay between GUT and flavour symmetries in a Pati-Salam × S4 model

Fermion masses and flavor mixings in a model with flavor symmetry

Generalized ℤ2 × ℤ2 in scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis

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