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Lepton-number violation and right-handed neutrinos in Higgs-less effective theories
High Energy Physics - Phenomenology · Submitted 28 Apr 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A hierarchy of lepton-number violating effects follows.
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The abstract, sentence by sentence
Following previous work, we identify a symmetry S_nat that generalizes the concept of custodial symmetry, keeping under control deviations from the Standard Model (SM). To realize S_nat linearly, the space of gauge fields has to be extended. Covariant constraints formulated in terms of spurions reduce S_nat back to SU(2)_L x U(1)_Y. This allows for a covariant introduction of explicit S_nat-breaking parameters. We assume that S_nat is at play in a theory of electroweak symmetry-breaking without a light Higgs particle. We describe some consequences of this assumption, using a non-decoupling effective theory in which the loop expansion procedure is based on both momentum and spurion power counting, as in Chiral Perturbation Theory. A hierarchy of lepton-number violating effects follows. Leading corrections to the SM are non-oblique. The effective theory includes stable light right-handed neutrinos, with an unbroken Z_2 symmetry forbidding neutrino Dirac masses. nu_R contribution to dark matter places bounds on their masses.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Following previous work, we identify a symmetry S_nat that generalizes the concept of custodial symmetry, keeping under control deviations from the Standard Model (SM). | contribution 0.91 | 0.84 | 0.10 | asserted 1.00 |
| s1 | To realize S_nat linearly, the space of gauge fields has to be extended. | method 0.71 | 0.45 | 0.04 | asserted 1.00 |
| s2 | Covariant constraints formulated in terms of spurions reduce S_nat back to SU(2)_L x U(1)_Y. | method 0.76 | 0.67 | 0.07 | asserted 1.00 |
| s3 | This allows for a covariant introduction of explicit S_nat-breaking parameters. | method 0.79 | 0.56 | 0.06 | asserted 0.98 |
| s4 | We assume that S_nat is at play in a theory of electroweak symmetry-breaking without a light Higgs particle. | contribution 0.50 | 0.45 | 0.10 | asserted 0.72 |
| s5 | We describe some consequences of this assumption, using a non-decoupling effective theory in which the loop expansion procedure is based on both momentum and spurion power counting, as in Chiral Perturbation Theory. | method 0.95 | 0.83 | 0.08 | asserted 0.99 |
| s6 | A hierarchy of lepton-number violating effects follows. | result 0.98 | 0.79 | 0.23 | asserted 0.99 |
| s7 | Leading corrections to the SM are non-oblique. | result 1.00 | 0.79 | 0.13 | asserted 1.00 |
| s8 | The effective theory includes stable light right-handed neutrinos, with an unbroken Z_2 symmetry forbidding neutrino Dirac masses. nu_R contribution to dark matter places bounds on their masses. | result 0.83 | 0.65 | 0.21 | asserted 1.00 |
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The paper
Original abstract
Following previous work, we identify a symmetry S_nat that generalizes the concept of custodial symmetry, keeping under control deviations from the Standard Model (SM). To realize S_nat linearly, the space of gauge fields has to be extended. Covariant constraints formulated in terms of spurions reduce S_nat back to SU(2)_L x U(1)_Y. This allows for a covariant introduction of explicit S_nat-breaking parameters. We assume that S_nat is at play in a theory of electroweak symmetry-breaking without a light Higgs particle. We describe some consequences of this assumption, using a non-decoupling effective theory in which the loop expansion procedure is based on both momentum and spurion power counting, as in Chiral Perturbation Theory. A hierarchy of lepton-number violating effects follows. Leading corrections to the SM are non-oblique. The effective theory includes stable light right-handed neutrinos, with an unbroken Z_2 symmetry forbidding neutrino Dirac masses. nu_R contribution to dark matter places bounds on their masses.
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References
How the literature uses it
11 arXiv papers cite this in 30 sentences
Papers citing it · 22 sentences without a confident label
Uses its method or tool 3 papers
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In any case, in order to have a well defined classification of the scaling of the diagrams one must work within renormalizable $R_ξ$ gauges, which allow us to use the Equivalence Theorem (Eq.Th.) [ref] and ensure an adequate $1/k^2$ scaling of the EW gauge boson propagators in the UV [ref] .
Electroweak Chiral Lagrangians and $\gamma\gamma\to Z_L Z_L,\, W_L^+ W_L^-$ at One Loop · Introduction · 0.84
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Following Weinberg's dimensional arguments [ref] , it is not difficult to see that in dimensional regularization this amplitude will scale with $p$ like [ref] ∼ (d^4p)^L 1(p^2)^I ∏_d (p^d)^N_d ∼ p^4L - 2I + ∑_d d N_d ∼ p^2+2L + ∑_d (d-2) N_d , where we have used the topological identity $I=L+V-1$ in the last line.
Electroweak chiral Lagrangian with a light Higgs and $\gamma\gamma\to Z_L Z_L, W_L^+ W_L^-$ scattering at one loop · ECLh up to next-to-leading order · 0.81
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Following Ref. [ref] , the reduction proceeds by pairwise identification of $SU(2)$ factors from composite and elementary sectors.
Tests of non-standard electroweak couplings of right-handed quarks · The Coset Space $S_𝑛𝑎𝑡/S_𝑒𝑤$ and Spurions · 0.90
Cites it as support 1 paper
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This power-counting scheme is also consistent with the loop expansion [ref] .
Complete NNLO Operator Bases in Higgs Effective Field Theory · Power Counting and Higher Order Lagrangian · 0.99
Cites it as background 3 papers
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No new material is involved in this Section that would not be already contained in Refs. [ref] (see also Ref. [ref] ).
Tests of non-standard electroweak couplings of right-handed quarks · Minimal not quite decoupling EW effective theory · 0.98
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Such a scenario has been discussed in Ref. [ref] where three small parameters $,$ and $δ$ enter naturally into an effective non-quite decoupling theory beyond the leading order (LO) [ref] .
Matching Chiral Perturbation Theory and the Dispersive Representation of the Scalar Kpi Form Factor · Decay constants and vector form factor · 0.83
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For further details on the power counting in EW Chiral Lagrangians, see Refs. [ref] .
One-loop $\gamma\gamma\to W^+_L W^-_L$ and $\gamma\gamma\to Z_L Z_L$ from the Electroweak Chiral Lagrangian with a light Higgs-like scalar · Electroweak Chiral Loops and renormalized ECLh parameters · 1.00
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