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Effects of Planck Scale Physics on Neutrino Mixing Parameters in Left-Right Symmetric Models
High Energy Physics - Phenomenology · Submitted 6 May 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that, such corrections can give rise to significant changes in the predictions for neutrino mixing parameters from the ones predicted by tree level seesaw formula if the left right symmetry breaking scale is lower than $10^{14}$ GeV.
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The abstract, sentence by sentence
Left right symmetric models (LRSM) are extensions of the standard model by an enlarged gauge group $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ where automatic inclusion of right handed fermions as $SU(2)_R$ doublets guarantees a natural seesaw origin of neutrino masses. Apart from the extended gauge symmetry, LRSM also has an in-built global discrete symmetry, called D-parity which ensures equal gauge couplings for left and right sectors. Motivated by the fact that global symmetries are expected to be explicitly broken by theories of quantum gravity, here we study the effects of such gravity or Planck scale physics on neutrino masses and mixings by introducing explict D-parity breaking Planck scale suppressed higher dimensional operators. Although such Planck scale suppressd operators have dimension at least six in generic LRSM, dimension five operators can also arise in the presence of additional scalar fields which can be naturally accommodated within SO(10) grand unified theory (GUT) multiplets. We show that, such corrections can give rise to significant changes in the predictions for neutrino mixing parameters from the ones predicted by tree level seesaw formula if the left right symmetry breaking scale is lower than $10^{14}$ GeV.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Left right symmetric models (LRSM) are extensions of the standard model by an enlarged gauge group $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ where automatic inclusion of right handed fermions as $SU(2)_R$ doublets guarantees a natural seesaw origin of neutrino masses. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | Apart from the extended gauge symmetry, LRSM also has an in-built global discrete symmetry, called D-parity which ensures equal gauge couplings for left and right sectors. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s2 | Motivated by the fact that global symmetries are expected to be explicitly broken by theories of quantum gravity, here we study the effects of such gravity or Planck scale physics on neutrino masses and mixings by introducing explict D-parity breaking Planck scale suppressed higher dimensional operators. | contribution 0.93 | 0.80 | 0.06 | asserted 0.78 |
| s3 | Although such Planck scale suppressd operators have dimension at least six in generic LRSM, dimension five operators can also arise in the presence of additional scalar fields which can be naturally accommodated within SO(10) grand unified theory (GUT) multiplets. | background 0.80 | 0.16 | 0.04 | asserted 0.53 |
| s4 | We show that, such corrections can give rise to significant changes in the predictions for neutrino mixing parameters from the ones predicted by tree level seesaw formula if the left right symmetry breaking scale is lower than $10^{14}$ GeV. | result 0.98 | 0.93 | 0.89 | asserted 0.78 |
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The paper
Original abstract
Left right symmetric models (LRSM) are extensions of the standard model by an enlarged gauge group $SU(2)_L \times SU(2)_R \times U(1)_{B-L}$ where automatic inclusion of right handed fermions as $SU(2)_R$ doublets guarantees a natural seesaw origin of neutrino masses. Apart from the extended gauge symmetry, LRSM also has an in-built global discrete symmetry, called D-parity which ensures equal gauge couplings for left and right sectors. Motivated by the fact that global symmetries are expected to be explicitly broken by theories of quantum gravity, here we study the effects of such gravity or Planck scale physics on neutrino masses and mixings by introducing explict D-parity breaking Planck scale suppressed higher dimensional operators. Although such Planck scale suppressd operators have dimension at least six in generic LRSM, dimension five operators can also arise in the presence of additional scalar fields which can be naturally accommodated within SO(10) grand unified theory (GUT) multiplets. We show that, such corrections can give rise to significant changes in the predictions for neutrino mixing parameters from the ones predicted by tree level seesaw formula if the left right symmetry breaking scale is lower than $10^{14}$ GeV.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
What it cites · 7 sentences without a confident label
Uses the method or tool of 1 paper
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We follow the same approach for numerical analysis as [ref] where the variation of neutrino mixing parameters with respect to the dimensionless parameter $γ$ in the seesaw formula ([ref]) was studied in details.
Quasi-Degenerate Neutrinos in Type II Seesaw Models · Numerical Analysis · 1.00
Uses data or values from 1 paper
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The latest global fit value for $3σ$ range of neutrino oscillation parameters [ref] are as follows: [equation] [equation] [equation] [equation] [equation] [equation] where NH and IH refers to normal and inverted hierarchy respectively.
Global fit to three neutrino mixing: critical look at present precision · Numerical Analysis · 1.00
Cites as background 1 paper
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Such RGE effects on neutrino parameters for type I and type II seesaw models have been studied in [ref] and [ref] respectively.
Running effects on neutrino parameters and l_i -> l_j gamma predictions in the triplet-extended MSSM · Neutrino Mass in LRSM · 0.89
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