Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases

Shivani Gupta, Sin Kyu Kang, Choong Sun Kim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We examine the renormalization group evolution (RGE) for different mixing scenarios in the presence of seesaw threshold effects from high energy scale (GUT) to the low electroweak (EW) scale in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM). We consider four mixing scenarios namely Tri-Bimaximal Mixing, Bimaximal Mixing, Hexagonal Mixing and Golden Ratio Mixing which come from different flavor symmetries at the GUT scale. We find that the Majorana phases play an important role in the RGE running of these mixing patterns along with the seesaw threshold corrections. We present a comparative study of the RGE of all these mixing scenarios both with and without Majorana CP phases when seesaw threshold corrections are taken into consideration. We find that in the absence of these Majorana phases both the RGE running and seesaw effects may lead to θ 13 <5° at low energies both in the SM and MSSM. However, if the Majorana phases are incorporated into the mixing matrix the running can be enhanced both in the SM and MSSM. Even by incorporating non-zero Majorana CP phases in the SM, we do not get θ 13 in its present 3σ range. The current values of the two mass squared differences and mixing angles including θ 13 can be produced in the MSSM case with tanβ=10 and non-zero Majorana CP phases at low energy. We also calculate the order of effective Majorana mass and Jarlskog Invariant for each scenario under consideration.

Original languageEnglish
Pages (from-to)89-106
Number of pages18
JournalNuclear Physics B
Volume893
DOIs
Publication statusPublished - 2015 Apr 1

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neutrinos
thresholds
grand unified theory
mixing ratios
energy
symmetry
matrices

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases",
abstract = "We examine the renormalization group evolution (RGE) for different mixing scenarios in the presence of seesaw threshold effects from high energy scale (GUT) to the low electroweak (EW) scale in the Standard Model (SM) and Minimal Supersymmetric Standard Model (MSSM). We consider four mixing scenarios namely Tri-Bimaximal Mixing, Bimaximal Mixing, Hexagonal Mixing and Golden Ratio Mixing which come from different flavor symmetries at the GUT scale. We find that the Majorana phases play an important role in the RGE running of these mixing patterns along with the seesaw threshold corrections. We present a comparative study of the RGE of all these mixing scenarios both with and without Majorana CP phases when seesaw threshold corrections are taken into consideration. We find that in the absence of these Majorana phases both the RGE running and seesaw effects may lead to θ 13 <5° at low energies both in the SM and MSSM. However, if the Majorana phases are incorporated into the mixing matrix the running can be enhanced both in the SM and MSSM. Even by incorporating non-zero Majorana CP phases in the SM, we do not get θ 13 in its present 3σ range. The current values of the two mass squared differences and mixing angles including θ 13 can be produced in the MSSM case with tanβ=10 and non-zero Majorana CP phases at low energy. We also calculate the order of effective Majorana mass and Jarlskog Invariant for each scenario under consideration.",
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Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases. / Gupta, Shivani; Kang, Sin Kyu; Kim, Choong Sun.

In: Nuclear Physics B, Vol. 893, 01.04.2015, p. 89-106.

Research output: Contribution to journalArticle

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