A direct link between unflavored leptogenesis and low-energy CP violation via the one-loop quantum corrections

Zhang, Xing; Zhang, Di

doi:10.1007/jhep04(2020)179

Cited by 15 publications

(11 citation statements)

References 67 publications

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“…However, this correction is subdominant to flavour effects discussed in this work, typically being by a factor of ∼ 10 to ∼ 100 smaller in the regions of the parameter space of the scenarios we have considered, where leptogenesis successfully generates the observed BAU. Thus, the mechanism of generation of BAU considered in [71] is subdominant to the mechanism discussed in this work.…”

Section: Jhep11(2021)149mentioning

confidence: 85%

“…Once the RGE-corrections are included, this cancellation no longer occurs and a corrective term approximately proportional to the square of the τ -Yukawa coupling is added to the total CPV asymmetry. The authors of [71] then show that this correction is sufficient in some regions of the parameter space at M LG 10 12 GeV for successful leptogenesis from purely low-scale CP violation due to the phases in the PMNS matrix in the absence of the usual flavour effects. However, this correction is subdominant to flavour effects discussed in this work, typically being by a factor of ∼ 10 to ∼ 100 smaller in the regions of the parameter space of the scenarios we have considered, where leptogenesis successfully generates the observed BAU.…”

Section: Jhep11(2021)149mentioning

confidence: 98%

“…We note that in [71], the RGE-corrections to the neutrino Yukawa matrices are included in the calculations of the CPV lepton asymmetry through a modified Casas-Ibarra parametrisation. Without these corrections, within the formalism employed in [71], which is based on the Boltzmann equations, all lepton flavour dependence (contained in the PMNS matrix) cancels at leptogenesis scales M LG 10 12 GeV from the total CPV asymmetries. Once the RGE-corrections are included, this cancellation no longer occurs and a corrective term approximately proportional to the square of the τ -Yukawa coupling is added to the total CPV asymmetry.…”

Section: Jhep11(2021)149mentioning

confidence: 99%

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Aspects of high scale leptogenesis with low-energy leptonic CP violation

Granelli

Moffat

Petcov

2021

J. High Energ. Phys.

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Using the density matrix equations (DME) for high scale leptogenesis based on the type I seesaw mechanism, in which the CP violation (CPV) is provided by the low-energy Dirac or/and Majorana phases of the neutrino mixing (PMNS) matrix, we investigate the 1-to-2 and the 2-to-3 flavour regime transitions, where the 1, 2 and 3 leptogenesis flavour regimes in the generation of the baryon asymmetry of the Universe ηB are described by the Boltzmann equations. Concentrating on the 1-to-2 flavour transition we determine the general conditions under which ηB goes through zero and changes sign in the transition. Analysing in detail the behaviour of ηB in the transition in the case of two heavy Majorana neutrinos N1,2 with hierarchical masses, M1 ≪ M2, we find, in particular, that i) the Boltzmann equations in many cases fail to describe correctly the generation of ηB in the 1, 2 and 3 flavour regimes, ii) the 2-flavour regime can persist above (below) ∼ 1012 GeV (∼ 109 GeV), iii) the flavour effects in leptogenesis persist beyond the typically considered maximal for these effects leptogenesis scale of 1012 GeV. We further determine the minimal scale M1min at which we can have successful leptogenesis when the CPV is provided only by the Dirac or Majorana phases of the PMNS matrix as well as the ranges of scales and values of the phases for having successful leptogenesis. We show, in particular, that when the CPV is due to the Dirac phase δ, there is a direct relation between the sign of sin δ and the sign of ηB in the regions of viable leptogenesis in the case of normal hierarchical light neutrino mass spectrum; for the inverted hierarchical spectrum the same result holds for M1 ≲ 1013 GeV. The considered different scenarios of leptogenesis are testable and falsifiable in low-energy neutrino experiments.

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Section: Jhep11(2021)149mentioning

confidence: 85%

Section: Jhep11(2021)149mentioning

confidence: 98%

Section: Jhep11(2021)149mentioning

confidence: 99%

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Aspects of high scale leptogenesis with low-energy leptonic CP violation

Granelli

Moffat

Petcov

2021

J. High Energ. Phys.

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“…As z increases, S receives contributions from both terms in Eq. (71). At values of z > z eq , where z eq corresponds to the time of evolution at which N N 1 = N eq N 1 , we have, as our numerical analysis shows, N N 1 (z) − N eq N 1 (z) > 0.…”

Section: Transitions Between Different Flavour Regimes: Detailed Anal...mentioning

confidence: 53%

Aspects of High Scale Leptogenesis with Low-Energy Leptonic CP Violation

Granelli,

Moffat,

Petcov

2021

Preprint

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Using the density matrix equations (DME) for high scale leptogenesis based on the type I seesaw mechanism, in which the CP violation (CPV) is provided by the low-energy Dirac or/and Majorana phases of the neutrino mixing (PMNS) matrix, we investigate the 1-to-2 and the 2-to-3 flavour regime transitions, where the 1, 2 and 3 leptogenesis flavour regimes in the generation of the baryon asymmetry of the Universe η B are described by the Boltzmann equations. Concentrating on the 1-to-2 flavour transition we determine the general conditions under which η B goes through zero and changes sign in the transition. Analysing in detail the behaviour of η B in the transition in the case of two heavy Majorana neutrinos N 1,2 with hierarchical masses, M 1 M 2 , we find, in particular, that i) the Boltzmann equations in many cases fail to describe correctly the generation of η B in the 1, 2 and 3 flavour regimes, ii) the 2-flavour regime can persist above (below) ∼ 10 12 GeV (∼ 10 9 GeV), iii) the flavour effects in leptogenesis persist beyond the typically considered maximal for these effects leptogenesis scale of 10 12 GeV. We further determine the minimal scale M 1min at which we can have successful leptogenesis when the CPV is provided only by the Dirac or Majorana phases of the PMNS matrix as well as the ranges of scales and values of the phases for having successful leptogenesis. We show, in particular, that when the CPV is due to the Dirac phase δ, there is a direct relation between the sign of sin δ and the sign of η B in the regions of viable leptogenesis in the case of normal hierarchical light neutrino mass spectrum; for the inverted hierarchical spectrum the same result holds for M 1 10 13 GeV. The considered different scenarios of leptogenesis are testable and falsifiable in low-energy neutrino experiments.

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“…(2.8). Despite its smallness (e.g., ∆ τ 1.65 × 10 −5 for M 0 1 TeV and Λ FS 10 10 GeV), ∆ τ can bring about a dramatic effect for leptogenesis: the orthogonality relation between two columns of M D (Λ FS ) will be eventually broken, making leptogenesis possible [66][67][68]. On the other hand, due to (Y † ν Y ν ) 12 = 0, the off-diagonal terms of M R (M 0 ) in eq.…”

Section: Rge Induced Leptogenesismentioning

confidence: 99%

Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry

Zhao

2021

J. High Energ. Phys.

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In this paper, we consider the imbedding of the popular and well-motivated trimaximal mixing and μ–τ reflection symmetry (which can help us shape the forms of the neutrino mass matrix) in the minimal seesaw model (which contains much fewer parameters than the general seesaw model) with two TeV-scale right-handed neutrinos (for realizing a low-scale seesaw) of nearly degenerate masses (for realizing a resonant leptogenesis). However, either for the trimaximal mixing scenario (which is realized through the Form Dominance approach here) or for the μ–τ reflection symmetry scenario, leptogenesis cannot proceed. To address this issue, we consider the possibility that the special forms of the neutrino mass matrix for the trimaximal mixing and μ–τ reflection symmetry are slightly broken by the renormalization group evolution effect, thus allowing leptogenesis to proceed. It is found that in the normal case of the neutrino mass ordering, the baryon asymmetry thus generated can reproduce the observed value. For completeness, we have also extended our analysis to the scenario that two right-handed neutrinos are not nearly degenerate any more. Unfortunately, in this scenario the final baryon asymmetry is smaller than the observed value by several orders of magnitude.

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A direct link between unflavored leptogenesis and low-energy CP violation via the one-loop quantum corrections

Cited by 15 publications

References 67 publications

Aspects of high scale leptogenesis with low-energy leptonic CP violation

Aspects of high scale leptogenesis with low-energy leptonic CP violation

Aspects of High Scale Leptogenesis with Low-Energy Leptonic CP Violation

Renormalization group evolution induced leptogenesis in the minimal seesaw model with the trimaximal mixing and mu-tau reflection symmetry

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