Renormalization Group Equations for Seesaw Neutrino Masses

Piotr H. Chankowski; Zbigniew Pluciennik

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Renormalization Group Equations for Seesaw Neutrino Masses

Piotr H. Chankowski, Zbigniew Pluciennik

High Energy Physics - Phenomenology · Submitted 30 Jun 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim RG evolution of these coefficients modifies tree-level seesaw predictions for neutrino masses and mixing angles in SO(10)-type GUT models as strongly as quark Yukawa coupling evolution.

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RGEs for coefficients of dim-5 operators giving rise to neutrino masses in the seesaw mechanism are written down in the SM, 2HDM and MSSM, and solved numerically. RG evolution of these coefficients modifies tree-level seesaw predictions for neutrino masses and mixing angles in SO(10)-type GUT models as strongly as quark Yukawa coupling evolution.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	RGEs for coefficients of dim-5 operators giving rise to neutrino masses in the seesaw mechanism are written down in the SM, 2HDM and MSSM, and solved numerically.	contribution 0.65	0.89	0.11	asserted 0.99
s1	RG evolution of these coefficients modifies tree-level seesaw predictions for neutrino masses and mixing angles in SO(10)-type GUT models as strongly as quark Yukawa coupling evolution.	result 0.93	0.73	0.72	asserted 1.00

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Original abstract

RGEs for coefficients of dim-5 operators giving rise to neutrino masses in the seesaw mechanism are written down in the SM, 2HDM and MSSM, and solved numerically. RG evolution of these coefficients modifies tree-level seesaw predictions for neutrino masses and mixing angles in SO(10)-type GUT models as strongly as quark Yukawa coupling evolution.

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References

Forward citations

Cited by 17 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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A family-dependent U(1)_{Lμ-Lτ} gauge boson adds a one-loop term to the Weinberg-operator RGE that can raise the rank of the neutrino mass matrix, generating a lightest neutrino mass even if it starts at zero.
Complete Two-loop Renormalization Group Equation of the Weinberg Operator
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The full two-loop renormalization group equation of the dimension-5 Weinberg operator in the Standard Model is derived, completing the two-loop RGE program of SMEFT up to dimension 5.
Towards a complete theory of thermal leptogenesis in the SM and MSSM
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Including finite-temperature corrections, running couplings, gauge-boson scatterings and a corrected subtraction of on-shell resonances, successful thermal leptogenesis requires the heaviest light neutrino below 0.15 ...
Running of neutrino mass parameters in the Zee model
hep-ph 2025-12 conditional novelty 6.0 of 10

In the Zee model, one-loop EFT running—not direct matching—generates the neutrino mass matrix, and 1% variations in fitted high-scale couplings shift neutrino observables beyond next-generation experimental precision.

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Unravelling the Scalar Sector of Grand Unification: Phenomenology & Implications
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A systematic classification of how grand unified theory scalars violate baryon and lepton number, predicting a kaon-dominant proton decay pattern and mass bounds down to scales far below the GUT scale.
Sufficient and Necessary Conditions for CP Conservation in the Case of Degenerate Majorana Neutrino Masses
hep-ph 2020-09 conditional novelty 6.0 of 10

For degenerate Majorana neutrino masses, the minimal sets of weak-basis invariants whose vanishing guarantees CP conservation are identified for light, heavy, and minimal-seesaw neutrinos.
Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos
hep-ph 2011-07 conditional novelty 6.0 of 10

Within Type I seesaw, heavy sterile neutrinos can saturate the neutrinoless double beta decay rate if light neutrino masses are suppressed beyond naive seesaw, and radiative stability then caps the heavy mass near 10 GeV.
Baryogenesis through leptogenesis
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The lepton asymmetry in heavy-neutrino leptogenesis must be tracked as a 3x3 flavour density matrix, and with that bookkeeping both a U(1) and a U(2) family-symmetry model can be brought near the observed baryon asymmetry.
Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation
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Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting ta...
The Minimal Seesaw Model with a Modular $S_4$ Symmetry
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Two heavy neutrinos in the two-dimensional representation of modular S4 give a predictive minimal seesaw that fits oscillation data and, the authors claim, can generate the baryon asymmetry at a seesaw scale near 10^7 GeV.
Modular Invariance Faces Precision Neutrino Data
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Modular invariance with three vacuum parameters reproduces eight dimensionless lepton observables, with the Weinberg-operator model fitting all of them inside 1 sigma and the seesaw model missing the atmospheric angle...
Higgsino Dark Matter in High-Scale Supersymmetry
hep-ph 2014-10 conditional novelty 5.0 of 10

Renormalization group running of the dimension-five operators that split the neutral Higgsino mass eigenstates shifts the direct-detection, EDM and collider bounds on the high-scale supersymmetry breaking scale by rou...
The minimal seesaw and leptogenesis models
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A comprehensive review of the two-right-handed-neutrino seesaw and its leptogenesis, organizing parametrizations, texture zeros, flavor symmetries and CP-violation predictions against current neutrino oscillation data.
Radiative $\mu-\tau$ Corrections and Renormalization of Neutrino Mass Operators in Type II Seesaw Models
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The paper claims a 3% radiative suppression of the reactor angle in Type II seesaw from RG running of mu-tau breaking parameters, but this 'prediction' is derived from a parameter fitted to the measured angle.
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The review consolidates the evidence that solar and atmospheric neutrino deficits are explained by three-neutrino oscillations with large mixing angles, and surveys remaining anomalies and theoretical models.
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hep-ph 2015-12 accept

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How later papers used it

59 later papers cite it

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1 later paper by other authors is listed below: 1 used its method or tool.

Uses its method or tool 1 of 5 papers with this label

Used this paper's one-loop RG equation in its numerical calculation to estimate the neutrino mass.

Decay Rate of Electroweak Vacuum in the Standard Model and Beyond (2018) · 0.98 · paraphrased: the licence does not allow quoting

How the literature uses it

58 arXiv papers cite this in 84 sentences

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Papers citing it · 47 sentences without a confident label

Uses its method or tool 5 papers

Together with the one-loop RGEs for the renormalizable couplings in the SM and that for the Wilson coefficient of the Weinberg operator [ref] , the complete set of one-loop RGEs for the renormalizable couplings and the Wilson coefficients of higher-dimensional operators in the type-I SEFT can be found with the help of the counterterms in Appendix [ref] and the formulas in Ref. [ref] .

Complete One-loop Renormalization-group Equations in the Seesaw Effective Field Theories · Derivation of One-loop RGEs · 0.91
To do so, we need renormalization group (RG) evolution [ref] of neutrino Dirac-Yukawa matrix and heavy Majorana neutrino masses with the FTY forms from the GUT scale to the seesaw scale by numerically solving all the relevant RG equations presented in Ref. [ref] .

Leptogenesis in a seesaw model with Fritzsch type lepton mass matrices · Confronting with Low-energy neutrino data · 0.98
Specifically, when discussing the running behavior of neutrino masses, we adopt the $MS$ renormalization scheme and integrate out the heavy degrees of freedom to obtain the low-energy effective theory [ref] .

Experimental Constraints on Seesaw Parameters in the Wigner-like Parametrization · CP-violating Asymmetries in Resonant Leptogenesis · 0.95

Uses its data or values 1 paper

The coefficients $C_e$ are $C_e=-3/2$ in the SM [ref] and two-Higgs models [ref] , and $C_e=1$ in the MSSM [ref] .

Modular invariant holomorphic observables · Renormalization-group invariant expressions · 0.98

Compares with it 3 papers

Finally, from the 1/$ε$ terms in $δC^(1)_5$ and $δC^(2)_5$, and using Eq. [ref], we obtain the one- and two-loop contributions to the RGE of $C^_5$: [equation] Our one-loop result is consistent with Refs. [ref] including the correction pointed out in Ref. [ref] .

Complete Two-loop Renormalization Group Equation of the Weinberg Operator · Complete Two-loop RGE of the Weinberg Operator · 1.00
It is straightforward to check that setting $Y_T,S,Z=0$ and $λ_1,2=0$ in Eq. ([ref]) one recovers the MSSM RGE for $𝒪^ν$ obtained in Refs. [ref] .

Running effects on neutrino parameters and l_i -> l_j gamma predictions in the triplet-extended MSSM · RGE for the effective neutrino mass operator · 0.93
The same results are obtained in [ref] following a slightly different approach given in [ref] .

Renormalization group evolution of neutrino masses and mixing in seesaw models: A review · RG evolution of the light neutrino masses · 0.86

Cites it as support 4 papers

However since the RG induced corrections to the mass matrix elements are multiplicative in nature it is expected that a zero in the mass matrix $M$ will remain a zero [ref] .

Hybrid textures in minimal seesaw mass matrices · Renormalization Group Effects · 0.97
Further, we disregard the RGE effects in the running of neutrino parameters as they are known to yield insignificant deviations [ref] .

Unravelling the Scalar Sector of Grand Unification: Phenomenology & Implications · Full Three Generations Analysis · 0.97
This is a sufficiently good approximation provided the light neutrino mass spectrum is not QD [ref] .

Charged Lepton Flavour Violating Radiative Decays $\ell_i \to \ell_j + \gamma$ in See-Saw Models with $A_4$ Symmetry · Numerical Results · 0.99

Cites it as background 21 papers

The matching and running of physical parameters in the type-I seesaw model have been extensively studied in the literature [ref]

The Smallest Neutrino Mass Revisited · One-loop Matching · 0.97
The RG equations (RGEs) for the Weinberg operator [ref] , which describes Majorana neutrino masses in SM effective field theory (SMEFT), have been calculated at 1-loop order in [ref] and recently at 2-loop order in [ref] ; phenomenological implications have been studied in [ref] .

Running of neutrino mass parameters in the Zee model · Introduction · 0.98
The phenomenology of these operators has been intensively discussed in the higgsino dark matter model in a split SUSY scenario [ref] , and the RGEs of these operators have been derived in the context of neutrino mass operators [ref] . ] _χ = i χγ^μD_μχ- M χχ+ C̃_s H^†H χiγ_5 χ+ C̃_t H^†t^a H χiγ_5 T^a χ ,

Renormalization Effects on Electric Dipole Moments in Electroweakly Interacting Massive Particle Models · Electric Dipole Moments in EWIMP Models · 0.94

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