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

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 scenario...

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Main Authors: Shivani Gupta, Sin Kyu Kang, C.S. Kim
Format: Article
Language:English
Published: Elsevier 2015-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315000371
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author Shivani Gupta
Sin Kyu Kang
C.S. Kim
author_facet Shivani Gupta
Sin Kyu Kang
C.S. Kim
author_sort Shivani Gupta
collection DOAJ
description 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 θ13<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 θ13 in its present 3σ range. The current values of the two mass squared differences and mixing angles including θ13 can be produced in the MSSM case with tan⁡β=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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spelling doaj.art-75f3a094449546ff83cd9b3177da5fd02022-12-22T03:16:49ZengElsevierNuclear Physics B0550-32132015-04-0189389106Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phasesShivani Gupta0Sin Kyu Kang1C.S. Kim2Department of Physics and IPAP, Yonsei University, Seoul 120-749, Republic of KoreaSchool of Liberal Arts, Seoul-Tech, Seoul 139-743, Republic of KoreaDepartment of Physics and IPAP, Yonsei University, Seoul 120-749, Republic of Korea; Corresponding author.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 θ13<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 θ13 in its present 3σ range. The current values of the two mass squared differences and mixing angles including θ13 can be produced in the MSSM case with tan⁡β=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.http://www.sciencedirect.com/science/article/pii/S0550321315000371
spellingShingle Shivani Gupta
Sin Kyu Kang
C.S. Kim
Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
Nuclear Physics B
title Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
title_full Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
title_fullStr Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
title_full_unstemmed Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
title_short Renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and Majorana phases
title_sort renormalization group evolution of neutrino parameters in presence of seesaw threshold effects and majorana phases
url http://www.sciencedirect.com/science/article/pii/S0550321315000371
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AT sinkyukang renormalizationgroupevolutionofneutrinoparametersinpresenceofseesawthresholdeffectsandmajoranaphases
AT cskim renormalizationgroupevolutionofneutrinoparametersinpresenceofseesawthresholdeffectsandmajoranaphases