RECORD
Running effects on neutrino parameters and l_i -> l_j gamma predictions in the triplet-extended MSSM
High Energy Physics - Phenomenology · Submitted 17 Dec 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We point out that, if $\tan\beta$ is large, the results obtained in the commonly made approximations may deviate significantly from the ones following from solving numerically the relevant set of renormalisation group equations and using the exact one-loop formulae for the decay rates.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We investigate the renormalisation group effects induced on neutrino mass and mixing parameters in a triplet-extended minimal supersymmetric standard model where a vector-like pair of hypercharge $\pm 1$ triplet superfields is added. We first rederive the one-loop renormalisation group equation for the effective neutrino mass operator and, for the case in which this operator originates solely from the decoupling of the triplets, the corresponding equations for neutrino masses, mixing parameters and CP-violating phases. We compare our results with the ones obtained previously, and quantify the importance of the RG induced corrections to neutrino observables by means of numerical examples. In the second part of the paper, we study the correlation of the model's predictions for the lepton flavour violating processes $\ell_i \rightarrow \ell_j \gamma$ with the measured neutrino mass squared differences and mixing angles. We also emphasize the r\^ole played by the unknown reactor neutrino mixing angle $\theta_{13}$ and the Dirac CP-violating phase $\delta$. We point out that, if $\tan\beta$ is large, the results obtained in the commonly made approximations may deviate significantly from the ones following from solving numerically the relevant set of renormalisation group equations and using the exact one-loop formulae for the decay rates.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the renormalisation group effects induced on neutrino mass and mixing parameters in a triplet-extended minimal supersymmetric standard model where a vector-like pair of hypercharge $\pm 1$ triplet superfields is added. | contribution 0.98 | 0.88 | 0.06 | asserted 0.91 |
| s1 | We first rederive the one-loop renormalisation group equation for the effective neutrino mass operator and, for the case in which this operator originates solely from the decoupling of the triplets, the corresponding equations for neutrino masses, mixing parameters and CP-violating phases. | contribution 0.53 | 0.95 | 0.06 | asserted 0.98 |
| s2 | We compare our results with the ones obtained previously, and quantify the importance of the RG induced corrections to neutrino observables by means of numerical examples. | contribution 0.51 | 0.93 | 0.10 | asserted 0.97 |
| s3 | In the second part of the paper, we study the correlation of the model's predictions for the lepton flavour violating processes $\ell_i \rightarrow \ell_j \gamma$ with the measured neutrino mass squared differences and mixing angles. | contribution 1.00 | 0.91 | 0.11 | asserted 0.89 |
| s4 | We also emphasize the r\^ole played by the unknown reactor neutrino mixing angle $\theta_{13}$ and the Dirac CP-violating phase $\delta$. | contribution 0.68 | 0.58 | 0.08 | asserted 0.80 |
| s5 | We point out that, if $\tan\beta$ is large, the results obtained in the commonly made approximations may deviate significantly from the ones following from solving numerically the relevant set of renormalisation group equations and using the exact one-loop formulae for the decay rates. | interpretation 0.48 | 0.77 | 0.37 | hedged possibility 0.96 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We investigate the renormalisation group effects induced on neutrino mass and mixing parameters in a triplet-extended minimal supersymmetric standard model where a vector-like pair of hypercharge $\pm 1$ triplet superfields is added. We first rederive the one-loop renormalisation group equation for the effective neutrino mass operator and, for the case in which this operator originates solely from the decoupling of the triplets, the corresponding equations for neutrino masses, mixing parameters and CP-violating phases. We compare our results with the ones obtained previously, and quantify the importance of the RG induced corrections to neutrino observables by means of numerical examples. In the second part of the paper, we study the correlation of the model's predictions for the lepton flavour violating processes $\ell_i \rightarrow \ell_j \gamma$ with the measured neutrino mass squared differences and mixing angles. We also emphasize the r\^ole played by the unknown reactor neutrino mixing angle $\theta_{13}$ and the Dirac CP-violating phase $\delta$. We point out that, if $\tan\beta$ is large, the results obtained in the commonly made approximations may deviate significantly from the ones following from solving numerically the relevant set of renormalisation group equations and using the exact one-loop formulae for the decay rates.
Human review
References
How the literature uses it
10 arXiv papers cite this in 18 sentences
Papers citing it · 12 sentences without a confident label
Cites it as background 4 papers
-
Such RGE effects on neutrino parameters for type I and type II seesaw models have been studied in [ref] and [ref] respectively.
Effects of Planck Scale Physics on Neutrino Mixing Parameters in Left-Right Symmetric Models · Neutrino Mass in LRSM · 0.89
-
RGEs in the type-II seesaw model [ref] with an electroweak triplet scalar field have been derived and studied in [ref] .
Running of neutrino mass parameters in the Zee model · Introduction · 0.96
-
Such studies addressing different seesaw mechanisms have been carried out in [ref] , [ref] .
Charged Lepton Flavor Violation $\mu\rightarrow e\gamma$ in $\mu-\tau$ Symmetric SUSY SO(10) mSUGRA, NUHM, NUGM, and NUSM theories and LHC · Introduction · 0.90
What it cites · 40 sentences without a confident label
Contests 1 paper
-
Namely, in Section [ref] we obtain the RGEs for the neutrino masses, mixing angles and CP-violating phases (including approximate analytical expressions), pointing out the discrepancies between our results and those previously obtained in Ref. [ref] .
Renormalization Group Evolution in the type I + II seesaw model · Introduction · contest 0.72
Uses the method or tool of 3 papers
-
However, following the procedure of Ref. [ref] , we will expand the RGEs to the leading order in the (small) mixing angle $θ_13$.
Running Neutrino Masses, Mixings and CP Phases: Analytical Results and Phenomenological Consequences · RGEs for the neutrino masses, mixing angles and CP-violating phases · 1.00
-
To obtain the RGE for $U$, we adopt the procedure first introduced in Ref. [ref] for the renormalisation of the Cabbibo-Kobayashi-Maskawa mixing matrix, and later used for the neutrino case [ref] .
Fixed points in the evolution of neutrino mixings · Running of the neutrino masses and mixing matrix · 1.00
-
To obtain the RGE for $U$, we adopt the procedure first introduced in Ref. [ref] for the renormalisation of the Cabbibo-Kobayashi-Maskawa mixing matrix, and later used for the neutrino case [ref] .
General RG Equations for Physical Neutrino Parameters and their Phenomenological Implications · Running of the neutrino masses and mixing matrix · 1.00
Uses data or values from 3 papers
-
[!ht] Best-fit values (with 1$σ$ errors) and 3$σ$ allowed intervals for the neutrino oscillation parameters from global data including solar, atmospheric, reactor (KamLAND and CHOOZ) and accelerator (K2K and MINOS) experiments [ref] .
Three-flavour neutrino oscillation update · Numerical examples · 1.00
-
The black-hatched region is excluded by the MEGA bound $BR(μ→e γ)< 1.2×10^-11$ [ref] and the blue contours correspond to $BR(μ→e γ)=10^-12,10^-13$.
New Limit for the Family-Number Non-conserving Decay mu+ to e+_gamma · Large $tanβ$ effects on the ratios of branching ratios · 0.96
-
where the numbers in parentheses report the results for the $τ$ decays obtained through a combined analysis of BABAR and Belle data [ref] .
Searches for lepton flavor violating decays $\tau^\pm \to \ell^\pm\gamma$, $\tau^\pm \to \ell^\pm P^0$ (where $\ell^- = e^-, \mu^-$, and $P^0$ = $\pi^0, \eta, \eta^{\prime}$) at B-Factories: Status and Combinations · LFV $ℓ_i→ℓ_j γ$ decays in the TMSSM · 0.98
Compares with 5 papers
-
We have recomputed the full set of RGEs and found complete agreement with the results obtained in the latter reference[The RGEs obtained in Ref. [ref] show minor differences with respect to those of [ref] .
Minimal supersymmetric SU(5) model with nonrenormalizable operators: Seesaw mechanism and violation of flavour and CP · RGE for the effective neutrino mass operator · 1.00
-
We have recomputed the full set of RGEs and found complete agreement with the results obtained in the latter reference[The RGEs obtained in Ref. [ref] show minor differences with respect to those of [ref] .
Supersymmetric Seesaw without Singlet Neutrinos: Neutrino Masses and Lepton-Flavour Violation · RGE for the effective neutrino mass operator · 1.00
-
The above expressions make explicit the discrepancies between our results and those of Ref. [ref] .
Renormalization Group Evolution in the type I + II seesaw model · RGEs for the neutrino masses, mixing angles and CP-violating phases · 0.80
Cites as background 5 papers
-
An alternative version of the seesaw mechanism (usually denoted as type II or triplet seesaw) relies on the presence of heavy triplet states [ref] .
Neutrino Masses and Leptogenesis with Heavy Higgs Triplets · Introduction · 0.98
-
The phenomenology of Kähler-generated neutrino masses (including the RG flow of neutrino parameters) has been studied in Refs. [ref] .
New supersymmetric source of neutrino masses and mixings · RGE for the effective neutrino mass operator · 0.95
-
The phenomenology of seesaw-inspired models has been widely studied in the literature [ref] with the goal of explaining the results provided by neutrino oscillation experiments [ref] .
Theoretical Models of Neutrino Masses and Mixings · Introduction · 0.99
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.