Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism

A few years ago, it had been shown that effects stemming from renormalisation group running can be quite large in the scotogenic model, where neutrinos obtain their mass only via a 1-loop diagram (or, more generally, in many models in which the light neutrino mass is generated via quantum corrections at loop-level). We present a new computation of the renormalisation group equations (RGEs) for the scotogenic model, thereby updating previous results. We discuss the matching in detail, in particular in what regards the different mass spectra possible for the new particles involved. We furthermore develop approximate analytical solutions to the RGEs for an extensive list of illustrative cases, covering all general tendencies that can appear in the model. Comparing them with fully numerical solutions, we give a comprehensive discussion of the running in the scotogenic model. Our approach is mainly top-down, but we also discuss an attempt to get information on the values of the fundamental parameters when inputting the low-energy measured quantities in a bottom-up manner. This work serves the basis for a full parameter scan of the model, thereby relating its low-and high-energy phenomenology, to fully exploit the available information.

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“…As mentioned in section 3, this is analogous to previous results found e.g. in [42][43][44][45][46][47][48][49][50].…”

Section: A Renormalisation Group Equationssupporting

confidence: 91%

Running of radiative neutrino masses: the scotogenic model — revisited

Merle

Platscher

2015

J. High Energ. Phys.

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“…12,13,14 There are also several studies regarding extended model buildings 15 and other related issues. 16 The Type III See-Saw and related models should be studied more theoretically to reveal its interesting features, and of course experimentally to decide whether it is relevant to reality.…”

Section: Discussionmentioning

confidence: 99%

Leptogenesis and LHC Physics With Type Iii See-Saw

Chen

2011

Int. J. Mod. Phys. Conf. Ser.

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The See-Saw mechanism provides a nice way to explain why neutrino masses are so much lighter than their charged lepton partners. It also provides a nice way to explain baryon asymmetry in our universe via the leptogenesis mechanism. In this talk we review leptogenesis and LHC physics in a See-Saw model proposed in 1989, now termed the Type III See-Saw model. In this model, SU (2) L triplet leptons are introduced with the neutral particles of the triplets playing the role of See-Saw. The triplet leptons have charged partners with standard model gauge interactions resulting in many new features. The gauge interactions of these particles make it easier for leptognesis with low masses, as low as a TeV is possible. The gauge interactions also make the production and detection of triplet leptons at LHC possible. The See-Saw mechanism and leptogenesis due to Type III See-Saw may be tested at LHC. Keywords:Type III see-saw; neutrino; triplet lepton; leptogenesis; LHC. See-Saw MechanismThe canonical See-Saw mechanism 1 refers to the neutrino mass matrix of the formIf the eigenvalues of M R are much larger than those of m D , the light and heavy neutrinos mass matrix are given byFor one generation, the light neutrino mass isThe suppression factor m D /M R makes the light neutrino mass much smaller than the usual Dirac mass m D which is of order the charged lepton mass. This is a very nice way to explain why light neutrino masses are so much lighter than their charged partners.

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“…These effects are typically at least as important as the RG evolution effects from below the thresholds since the relevant couplings may also be of order one. The diagrams contributing to the renormalization constants of the different quantities at high energy are shown in [36], [42] and [107] in case of Type-I, Type-II and Type-III seesaw respectively 3 . Finally the RG evolution equations for the charged lepton Yukawa matrix Y e and the heavy particle Yukawa matrix Y X and (here X = N for Type-I, X = ∆ for Type-II and X = Σ for Type-III) can be given as…”

Section: Rg Evolution Of Neutrino Masses and Mixing In High Energy Sementioning

confidence: 99%

“…We do not give the evolution equations for the different Higgs couplings or for the up-and down-type quark Yukawa couplings here. The evolution equations for these couplings can be obtained in [61,41,107] for the different seesaw scenarios.…”

Section: Rg Evolution Of Neutrino Masses and Mixing In High Energy Sementioning

confidence: 99%

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Renormalization Group Evolution of Neutrino Masses and Mixing in Seesaw Models

Ray

2010

Int. J. Mod. Phys. A

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We consider different extensions of the standard model which can give rise to the small active neutrino masses through seesaw mechanisms, and their mixing. These tiny neutrino masses are generated at some high energy scale by the heavy seesaw fields which then get sequentially decoupled to give an effective dimension-5 operator. The renormalization group evolution of the masses and the mixing parameters of the three active neutrinos in the high energy as well as the low energy effective theory is reviewed in this article.

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Renormalization group evolution of neutrino masses and mixing in the Type-III seesaw mechanism

Cited by 38 publications

References 99 publications

Running of radiative neutrino masses: the scotogenic model — revisited

Running of radiative neutrino masses: the scotogenic model — revisited

Leptogenesis and LHC Physics With Type Iii See-Saw

Renormalization Group Evolution of Neutrino Masses and Mixing in Seesaw Models

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