Is there maximal mixing in the lepton sector?

Antusch, Stefan; Huber, Patrick; Kersten, Joern; Schwetz, Thomas; Winter, Walter

doi:10.1103/physrevd.70.097302

Cited by 56 publications

(90 citation statements)

References 57 publications

(76 reference statements)

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“…On the other hand, even rather small RG corrections are important in view of the precision era we are entering. For example, RG effects induce deviations from θ 13 = 0 or maximal mixing θ 23 = π/4 [33][34][35] also for a hierarchical spectrum, as well as from other symmetries, like quark-lepton-complementarity [36][37][38][39], tribimaximal mixing [39][40][41][42][43][44] and other special configurations [45,46]. Threshold corrections can yield large effects [21, 30-32, 34, 38, 43, 47-52].…”

Section: Introductionmentioning

confidence: 99%

Renormalization group evolution in the type I and type II seesaw model

Schmidt

2007

Phys. Rev. D

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We carefully analyze the renormalization group equations in the type I + II seesaw scenario in the extended standard model (SM) and minimal supersymmetric standard model (MSSM). Furthermore, we present analytic formulae of the mixing angles and phases and discuss the RG effect on the different mixing parameters in the type II seesaw scenario. The renormalization group equations of the angles have a contribution which is proportional to the mass squared difference for a hierarchical spectrum. This is in contrast to the inverse proportionality to the mass squared difference in the effective field theory case.

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Section: Introductionmentioning

confidence: 99%

Renormalization group evolution in the type I and type II seesaw model

Schmidt

2007

Phys. Rev. D

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“…We now consider the neutrino sector (see [196][197][198][199][200][201][202][203][204][205][206][207][208] for a general approach at RGEs with or without flavour symmetries) and the modification due to the RG running. We remember that our model at the GUT scale naturally predicts the QD spectrum, with both normal and inverse ordering, while choosing a less natural range of the parameters space we may have both NH and IH spectrum.…”

Section: Analytical Approximationsmentioning

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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“…[27,28]), a 10% measurement of the atmospheric parameters (see, e.g., Ref. [4,29]), and include matter density uncertainties of the order of 5% [30,31] uncorrelated between different baselines.…”

Section: Analysis Techniquesmentioning

confidence: 99%

Which long-baseline neutrino experiments are preferable?

2007

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We discuss the physics of superbeam upgrades, where we focus on T2KK, a NuMI beam line based experiment NOνA*, and a wide band beam (WBB) experiment independent of the NuMI beam line. For T2KK, we find that the Japan-Korea baseline helps resolve parameter degeneracies, but the improvement due to correlated systematics between the two detectors (using identical detectors) is only moderate. For an upgrade of NOνA with a liquid argon detector, we demonstrate that the Ash River site is preferred compared to alternatives, such as at the second oscillation maximum, and is the optimal site within the U.S. For a WBB experiment, we find that high proton energies and long decay tunnels are preferable. We compare water Cherenkov and liquid argon technologies, and find the break-even point in detector cost at about 4:1. In order to compare the physics potential of the different experimental configurations, we use the concept of exposure to normalize the performance. We find that experiments with WBBs are the best experimental concept. NOνA* could be competitive with sufficient luminosity. If sin 2 2θ 13 > 0.01, a WBB experiment can perform better than a neutrino factory.

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Is there maximal mixing in the lepton sector?

Cited by 56 publications

References 57 publications

Renormalization group evolution in the type I and type II seesaw model

Renormalization group evolution in the type I and type II seesaw model

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

Which long-baseline neutrino experiments are preferable?

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